TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10525
AB  - As a sequel to our recent paper, its general approach was here extended to finite alternating trigonometric sums giving rise to polynomials which were systematically examined in full detail as well as in a unified manner using simple arguments. Two new general families of integer-valued polynomials (along with four other families derived from them, also integer-valued, including two already known) were deduced. Also, these polynomials enable closed-form summation of a great deal of general families of finite sums.
T2  - Applicable Analysis and Discrete Mathematics
T1  - Another two families of integer-valued polynomials associated with finite trigonometric sums
VL  - 15
IS  - 1
SP  - 69
EP  - 81
DO  - 10.2298/AADM200915004C
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2021",
abstract = "As a sequel to our recent paper, its general approach was here extended to finite alternating trigonometric sums giving rise to polynomials which were systematically examined in full detail as well as in a unified manner using simple arguments. Two new general families of integer-valued polynomials (along with four other families derived from them, also integer-valued, including two already known) were deduced. Also, these polynomials enable closed-form summation of a great deal of general families of finite sums.",
journal = "Applicable Analysis and Discrete Mathematics",
title = "Another two families of integer-valued polynomials associated with finite trigonometric sums",
volume = "15",
number = "1",
pages = "69-81",
doi = "10.2298/AADM200915004C"
}

Cvijović, Đ.. (2021). Another two families of integer-valued polynomials associated with finite trigonometric sums. in Applicable Analysis and Discrete Mathematics, 15(1), 69-81.
https://doi.org/10.2298/AADM200915004C

Cvijović Đ. Another two families of integer-valued polynomials associated with finite trigonometric sums. in Applicable Analysis and Discrete Mathematics. 2021;15(1):69-81.
doi:10.2298/AADM200915004C .

Cvijović, Đurđe, "Another two families of integer-valued polynomials associated with finite trigonometric sums" in Applicable Analysis and Discrete Mathematics, 15, no. 1 (2021):69-81,
https://doi.org/10.2298/AADM200915004C . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8832
AB  - Using the Hurwitz zeta and the alternating Hurwitz zeta function, ζ(s,a) and ζ⁎(s,a), it was shown through classical analysis and in a straightforward and unified manner that asζ(s,a) with a>0 and s>1 is strictly log-convex in s on (1,∞), whereas asζ⁎(s,a) for a,s>0 is strictly concave in s on (0,∞). As an immediate consequence, convexity properties of the Riemann zeta function as well as the Dirichlet beta, eta and lambda function were deduced. © 2020 Elsevier Inc.
T2  - Journal of Mathematical Analysis and Applications
T1  - A note on convexity properties of functions related to the Hurwitz zeta and alternating Hurwitz zeta function
VL  - 487
IS  - 1
SP  - 123972
DO  - 10.1016/j.jmaa.2020.123972
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2020",
abstract = "Using the Hurwitz zeta and the alternating Hurwitz zeta function, ζ(s,a) and ζ⁎(s,a), it was shown through classical analysis and in a straightforward and unified manner that asζ(s,a) with a>0 and s>1 is strictly log-convex in s on (1,∞), whereas asζ⁎(s,a) for a,s>0 is strictly concave in s on (0,∞). As an immediate consequence, convexity properties of the Riemann zeta function as well as the Dirichlet beta, eta and lambda function were deduced. © 2020 Elsevier Inc.",
journal = "Journal of Mathematical Analysis and Applications",
title = "A note on convexity properties of functions related to the Hurwitz zeta and alternating Hurwitz zeta function",
volume = "487",
number = "1",
pages = "123972",
doi = "10.1016/j.jmaa.2020.123972"
}

Cvijović, Đ.. (2020). A note on convexity properties of functions related to the Hurwitz zeta and alternating Hurwitz zeta function. in Journal of Mathematical Analysis and Applications, 487(1), 123972.
https://doi.org/10.1016/j.jmaa.2020.123972

Cvijović Đ. A note on convexity properties of functions related to the Hurwitz zeta and alternating Hurwitz zeta function. in Journal of Mathematical Analysis and Applications. 2020;487(1):123972.
doi:10.1016/j.jmaa.2020.123972 .

Cvijović, Đurđe, "A note on convexity properties of functions related to the Hurwitz zeta and alternating Hurwitz zeta function" in Journal of Mathematical Analysis and Applications, 487, no. 1 (2020):123972,
https://doi.org/10.1016/j.jmaa.2020.123972 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8886
AB  - A dozen families of integer–valued polynomials arising in finite summation of various trigonometric sums are known and all of them were deduced through numerical analysis methods. Here, using simple arguments commonly applied in work with polynomial sequences, we examined such expressions in full detail as well as in a systematic and unified manner. Two new very general integer–valued polynomial families (along with six other families derived from them, also integer–valued, including three previously studied) were obtained and they are related to each other by a binomial transform of sequences and associated with certain cosecant and cotangent sums.
T2  - Journal of Mathematical Analysis and Applications
T1  - Two general families of integer–valued polynomials associated with finite trigonometric sums
VL  - 488
IS  - 1
SP  - 124057
DO  - 10.1016/j.jmaa.2020.124057
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2020",
abstract = "A dozen families of integer–valued polynomials arising in finite summation of various trigonometric sums are known and all of them were deduced through numerical analysis methods. Here, using simple arguments commonly applied in work with polynomial sequences, we examined such expressions in full detail as well as in a systematic and unified manner. Two new very general integer–valued polynomial families (along with six other families derived from them, also integer–valued, including three previously studied) were obtained and they are related to each other by a binomial transform of sequences and associated with certain cosecant and cotangent sums.",
journal = "Journal of Mathematical Analysis and Applications",
title = "Two general families of integer–valued polynomials associated with finite trigonometric sums",
volume = "488",
number = "1",
pages = "124057",
doi = "10.1016/j.jmaa.2020.124057"
}

Cvijović, Đ.. (2020). Two general families of integer–valued polynomials associated with finite trigonometric sums. in Journal of Mathematical Analysis and Applications, 488(1), 124057.
https://doi.org/10.1016/j.jmaa.2020.124057

Cvijović Đ. Two general families of integer–valued polynomials associated with finite trigonometric sums. in Journal of Mathematical Analysis and Applications. 2020;488(1):124057.
doi:10.1016/j.jmaa.2020.124057 .

Cvijović, Đurđe, "Two general families of integer–valued polynomials associated with finite trigonometric sums" in Journal of Mathematical Analysis and Applications, 488, no. 1 (2020):124057,
https://doi.org/10.1016/j.jmaa.2020.124057 . .

TY  - CHAP
AU  - Cvijović, Đurđe
AU  - Pogany, Tibor K.
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8999
AB  - The second type Neumann series are considered which building blocks are Nicholson’s and the Dixon–Ferrar formulae for (Formula Presented). Related closed form double definite integral expressions are established by using the associated Dirichlet’s series Cahen’s Laplace integral for the Nicholson’s case. However, using Dixon–Ferrar formula a double definite integral expression is again obtained. Certain Open Problems are posed in the last section of the chapter.
T2  - Trends in Mathematics
T1  - Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula
SP  - 67
EP  - 84
DO  - 10.1007/978-3-030-35914-0_4
ER  - 

@inbook{
author = "Cvijović, Đurđe and Pogany, Tibor K.",
year = "2020",
abstract = "The second type Neumann series are considered which building blocks are Nicholson’s and the Dixon–Ferrar formulae for (Formula Presented). Related closed form double definite integral expressions are established by using the associated Dirichlet’s series Cahen’s Laplace integral for the Nicholson’s case. However, using Dixon–Ferrar formula a double definite integral expression is again obtained. Certain Open Problems are posed in the last section of the chapter.",
journal = "Trends in Mathematics",
booktitle = "Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula",
pages = "67-84",
doi = "10.1007/978-3-030-35914-0_4"
}

Cvijović, Đ.,& Pogany, T. K.. (2020). Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula. in Trends in Mathematics, 67-84.
https://doi.org/10.1007/978-3-030-35914-0_4

Cvijović Đ, Pogany TK. Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula. in Trends in Mathematics. 2020;:67-84.
doi:10.1007/978-3-030-35914-0_4 .

Cvijović, Đurđe, Pogany, Tibor K., "Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula" in Trends in Mathematics (2020):67-84,
https://doi.org/10.1007/978-3-030-35914-0_4 . .

TY  - JOUR
AU  - Cangul, Ismail Naci
AU  - Cvijović, Đurđe
PY  - 2013
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5923
AB  - On behalf of the International Advisory Board and the Local Organizing Committee of The International Congress in Honour of Professor Hari M. Srivastava, which was held in the Auditorium at the Campus of Uludag University, Bursa, Turkey on August 23-26, 2012, and on our own behalves, we would like to express our happiness and gratitude to all participants who attended and actively participated in our Congress. This article is being published in each of the four Special Issues of the SpringerOpen journals, Advances in Difference Equations, Boundary Value Problems, Fixed Point Theory and Applications and Journal of Inequalities and Applications, which are entitled Proceedings of the International Congress in Honour of Professor Hari M. Srivastava.
T2  - Advances in Difference Equations
T1  - Preface
DO  - 10.1186/1687-1847-2013-269
ER  - 

@article{
author = "Cangul, Ismail Naci and Cvijović, Đurđe",
year = "2013",
abstract = "On behalf of the International Advisory Board and the Local Organizing Committee of The International Congress in Honour of Professor Hari M. Srivastava, which was held in the Auditorium at the Campus of Uludag University, Bursa, Turkey on August 23-26, 2012, and on our own behalves, we would like to express our happiness and gratitude to all participants who attended and actively participated in our Congress. This article is being published in each of the four Special Issues of the SpringerOpen journals, Advances in Difference Equations, Boundary Value Problems, Fixed Point Theory and Applications and Journal of Inequalities and Applications, which are entitled Proceedings of the International Congress in Honour of Professor Hari M. Srivastava.",
journal = "Advances in Difference Equations",
title = "Preface",
doi = "10.1186/1687-1847-2013-269"
}

Cangul, I. N.,& Cvijović, Đ.. (2013). Preface. in Advances in Difference Equations.
https://doi.org/10.1186/1687-1847-2013-269

Cangul IN, Cvijović Đ. Preface. in Advances in Difference Equations. 2013;.
doi:10.1186/1687-1847-2013-269 .

Cangul, Ismail Naci, Cvijović, Đurđe, "Preface" in Advances in Difference Equations (2013),
https://doi.org/10.1186/1687-1847-2013-269 . .

TY  - JOUR
AU  - Kim, Yong Sup
AU  - Rathie, Arjun K.
AU  - Cvijović, Đurđe
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4630
AB  - In this paper we aim to show how one can obtain so far unknown Laplace transforms of three rather general cases of Kummers confluent hypergeometric function F-1(1)(a; b; x) by employing generalizations of Gausss second summation theorem, Baileys summation theorem and Kummers summation theorem obtained earlier by Lavoie, Grondin and Rathie. The results established may be useful in theoretical physics, engineering and mathematics. (C) 2011 Elsevier Ltd. All rights reserved.
T2  - Mathematical and Computer Modelling
T1  - New Laplace transforms of Kummers confluent hypergeometric functions
VL  - 55
IS  - 3-4
SP  - 1068
EP  - 1071
DO  - 10.1016/j.mcm.2011.09.031
ER  - 

@article{
author = "Kim, Yong Sup and Rathie, Arjun K. and Cvijović, Đurđe",
year = "2012",
abstract = "In this paper we aim to show how one can obtain so far unknown Laplace transforms of three rather general cases of Kummers confluent hypergeometric function F-1(1)(a; b; x) by employing generalizations of Gausss second summation theorem, Baileys summation theorem and Kummers summation theorem obtained earlier by Lavoie, Grondin and Rathie. The results established may be useful in theoretical physics, engineering and mathematics. (C) 2011 Elsevier Ltd. All rights reserved.",
journal = "Mathematical and Computer Modelling",
title = "New Laplace transforms of Kummers confluent hypergeometric functions",
volume = "55",
number = "3-4",
pages = "1068-1071",
doi = "10.1016/j.mcm.2011.09.031"
}

Kim, Y. S., Rathie, A. K.,& Cvijović, Đ.. (2012). New Laplace transforms of Kummers confluent hypergeometric functions. in Mathematical and Computer Modelling, 55(3-4), 1068-1071.
https://doi.org/10.1016/j.mcm.2011.09.031

Kim YS, Rathie AK, Cvijović Đ. New Laplace transforms of Kummers confluent hypergeometric functions. in Mathematical and Computer Modelling. 2012;55(3-4):1068-1071.
doi:10.1016/j.mcm.2011.09.031 .

Kim, Yong Sup, Rathie, Arjun K., Cvijović, Đurđe, "New Laplace transforms of Kummers confluent hypergeometric functions" in Mathematical and Computer Modelling, 55, no. 3-4 (2012):1068-1071,
https://doi.org/10.1016/j.mcm.2011.09.031 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4673
AB  - It is demonstrated that the alternating Lipschitz-Lerch zeta function and the alternating Hurwitz zeta function constitute a discrete Fourier transform pair. This discrete transform pair makes it possible to deduce, as special cases and consequences, many ( mainly new) transformation relations involving the values at rational arguments of alternating variants of various zeta functions, such as the Lerch and Hurwitz zeta functions and Legendre chi function. (C) 2011 Elsevier Inc. All rights reserved.
T2  - Applied Mathematics and Computation
T1  - Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function
VL  - 218
IS  - 12
SP  - 6744
EP  - 6747
DO  - 10.1016/j.amc.2011.12.041
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2012",
abstract = "It is demonstrated that the alternating Lipschitz-Lerch zeta function and the alternating Hurwitz zeta function constitute a discrete Fourier transform pair. This discrete transform pair makes it possible to deduce, as special cases and consequences, many ( mainly new) transformation relations involving the values at rational arguments of alternating variants of various zeta functions, such as the Lerch and Hurwitz zeta functions and Legendre chi function. (C) 2011 Elsevier Inc. All rights reserved.",
journal = "Applied Mathematics and Computation",
title = "Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function",
volume = "218",
number = "12",
pages = "6744-6747",
doi = "10.1016/j.amc.2011.12.041"
}

Cvijović, Đ.. (2012). Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function. in Applied Mathematics and Computation, 218(12), 6744-6747.
https://doi.org/10.1016/j.amc.2011.12.041

Cvijović Đ. Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function. in Applied Mathematics and Computation. 2012;218(12):6744-6747.
doi:10.1016/j.amc.2011.12.041 .

Cvijović, Đurđe, "Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function" in Applied Mathematics and Computation, 218, no. 12 (2012):6744-6747,
https://doi.org/10.1016/j.amc.2011.12.041 . .

TY  - JOUR
AU  - Sofo, Anthony
AU  - Cvijović, Đurđe
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5017
AB  - Three new closed-form summation formulae involving harmonic numbers are established using simple arguments and they are very general extensions of Eulers famous harmonic sum identity. Some illustrative special cases as well as immediate consequences of the main results are also considered.
T2  - Applicable Analysis and Discrete Mathematics
T1  - Extensions of Euler Harmonic Sums
VL  - 6
IS  - 2
SP  - 317
EP  - 328
DO  - 10.2298/AADM120628016S
ER  - 

@article{
author = "Sofo, Anthony and Cvijović, Đurđe",
year = "2012",
abstract = "Three new closed-form summation formulae involving harmonic numbers are established using simple arguments and they are very general extensions of Eulers famous harmonic sum identity. Some illustrative special cases as well as immediate consequences of the main results are also considered.",
journal = "Applicable Analysis and Discrete Mathematics",
title = "Extensions of Euler Harmonic Sums",
volume = "6",
number = "2",
pages = "317-328",
doi = "10.2298/AADM120628016S"
}

Sofo, A.,& Cvijović, Đ.. (2012). Extensions of Euler Harmonic Sums. in Applicable Analysis and Discrete Mathematics, 6(2), 317-328.
https://doi.org/10.2298/AADM120628016S

Sofo A, Cvijović Đ. Extensions of Euler Harmonic Sums. in Applicable Analysis and Discrete Mathematics. 2012;6(2):317-328.
doi:10.2298/AADM120628016S .

Sofo, Anthony, Cvijović, Đurđe, "Extensions of Euler Harmonic Sums" in Applicable Analysis and Discrete Mathematics, 6, no. 2 (2012):317-328,
https://doi.org/10.2298/AADM120628016S . .

TY  - JOUR
AU  - Cvijović, Đurđe
AU  - Srivastava, H. M.
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5038
AB  - Through a unified and relatively simple approach which uses complex contour integrals, particularly convenient integration contours and calculus of residues, closed-form summation formulas for 12 very general families of trigonometric sums are deduced. One of them is a family of cosecant sums which was first summed in closed form in a series of papers by Dowker (1987 Phys. Rev. D 36 3095-101; 1989 J. Math. Phys. 30 770-3; 1992 J. Phys. A: Math. Gen. 25 2641-8), whose method has inspired our work in this area. All of the formulas derived here involve the higher-order Bernoulli polynomials. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical in honour of Stuart Dowkers 75th birthday devoted to Applications of zeta functions and other spectral functions in mathematics and physics.
T2  - Journal of Physics. A: Mathematical and Theoretical
T1  - Closed-form summations of Dowkers and related trigonometric sums
VL  - 45
IS  - 37
DO  - 10.1088/1751-8113/45/37/374015
ER  - 

@article{
author = "Cvijović, Đurđe and Srivastava, H. M.",
year = "2012",
abstract = "Through a unified and relatively simple approach which uses complex contour integrals, particularly convenient integration contours and calculus of residues, closed-form summation formulas for 12 very general families of trigonometric sums are deduced. One of them is a family of cosecant sums which was first summed in closed form in a series of papers by Dowker (1987 Phys. Rev. D 36 3095-101; 1989 J. Math. Phys. 30 770-3; 1992 J. Phys. A: Math. Gen. 25 2641-8), whose method has inspired our work in this area. All of the formulas derived here involve the higher-order Bernoulli polynomials. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical in honour of Stuart Dowkers 75th birthday devoted to Applications of zeta functions and other spectral functions in mathematics and physics.",
journal = "Journal of Physics. A: Mathematical and Theoretical",
title = "Closed-form summations of Dowkers and related trigonometric sums",
volume = "45",
number = "37",
doi = "10.1088/1751-8113/45/37/374015"
}

Cvijović, Đ.,& Srivastava, H. M.. (2012). Closed-form summations of Dowkers and related trigonometric sums. in Journal of Physics. A: Mathematical and Theoretical, 45(37).
https://doi.org/10.1088/1751-8113/45/37/374015

Cvijović Đ, Srivastava HM. Closed-form summations of Dowkers and related trigonometric sums. in Journal of Physics. A: Mathematical and Theoretical. 2012;45(37).
doi:10.1088/1751-8113/45/37/374015 .

Cvijović, Đurđe, Srivastava, H. M., "Closed-form summations of Dowkers and related trigonometric sums" in Journal of Physics. A: Mathematical and Theoretical, 45, no. 37 (2012),
https://doi.org/10.1088/1751-8113/45/37/374015 . .

TY  - JOUR
AU  - Cvijović, Đurđe
AU  - Srivastava, Hari M.
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5126
AB  - In this article, it is shown that Riemanns zeta function zeta(s) admits two limit representations when R(s) GT 1. Each of these limit representations is deduced by using simple arguments based upon the classical Tannerys (limiting) theorem for series.
T2  - American Mathematical Monthly
T1  - Limit Representations of Riemanns Zeta Function
VL  - 119
IS  - 4
SP  - 324
EP  - 330
DO  - 10.4169/amer.math.monthly.119.04.324
ER  - 

@article{
author = "Cvijović, Đurđe and Srivastava, Hari M.",
year = "2012",
abstract = "In this article, it is shown that Riemanns zeta function zeta(s) admits two limit representations when R(s) GT 1. Each of these limit representations is deduced by using simple arguments based upon the classical Tannerys (limiting) theorem for series.",
journal = "American Mathematical Monthly",
title = "Limit Representations of Riemanns Zeta Function",
volume = "119",
number = "4",
pages = "324-330",
doi = "10.4169/amer.math.monthly.119.04.324"
}

Cvijović, Đ.,& Srivastava, H. M.. (2012). Limit Representations of Riemanns Zeta Function. in American Mathematical Monthly, 119(4), 324-330.
https://doi.org/10.4169/amer.math.monthly.119.04.324

Cvijović Đ, Srivastava HM. Limit Representations of Riemanns Zeta Function. in American Mathematical Monthly. 2012;119(4):324-330.
doi:10.4169/amer.math.monthly.119.04.324 .

Cvijović, Đurđe, Srivastava, Hari M., "Limit Representations of Riemanns Zeta Function" in American Mathematical Monthly, 119, no. 4 (2012):324-330,
https://doi.org/10.4169/amer.math.monthly.119.04.324 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4222
AB  - We derive several series representations for the Bloch-Gruneisen function of an arbitrary (integer or noninteger) order and show that it is related to other, more familiar special functions more commonly used in mathematical physics. In particular, the Bloch-Gruneisen function of integer order is expressible in terms of the Bose-Einstein function of different orders.
T2  - Theoretical and Mathematical Physics
T1  - The Bloch-Gruneisen function of arbitrary order and its series representations
VL  - 166
IS  - 1
SP  - 37
EP  - 42
DO  - 10.1007/s11232-011-0003-4
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2011",
abstract = "We derive several series representations for the Bloch-Gruneisen function of an arbitrary (integer or noninteger) order and show that it is related to other, more familiar special functions more commonly used in mathematical physics. In particular, the Bloch-Gruneisen function of integer order is expressible in terms of the Bose-Einstein function of different orders.",
journal = "Theoretical and Mathematical Physics",
title = "The Bloch-Gruneisen function of arbitrary order and its series representations",
volume = "166",
number = "1",
pages = "37-42",
doi = "10.1007/s11232-011-0003-4"
}

Cvijović, Đ.. (2011). The Bloch-Gruneisen function of arbitrary order and its series representations. in Theoretical and Mathematical Physics, 166(1), 37-42.
https://doi.org/10.1007/s11232-011-0003-4

Cvijović Đ. The Bloch-Gruneisen function of arbitrary order and its series representations. in Theoretical and Mathematical Physics. 2011;166(1):37-42.
doi:10.1007/s11232-011-0003-4 .

Cvijović, Đurđe, "The Bloch-Gruneisen function of arbitrary order and its series representations" in Theoretical and Mathematical Physics, 166, no. 1 (2011):37-42,
https://doi.org/10.1007/s11232-011-0003-4 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4178
AB  - A general transformation involving generalized hypergeometric functions has been recently found by Rathie and Rakha using simple arguments and exploiting Gausss summation theorem. In this sequel to the work of Rathie and Rakha, a new hypergeometric transformation formula is derived by their method and by appealing to Gausss second summation theorem. In addition, it is shown that the method fails to give similar hypergeometric transformations in the cases of the classical summation theorems of Kummer, Bailey, Watson and Dixon. (C) 2010 Elsevier Ltd. All rights reserved.
T2  - Applied Mathematics Letters
T1  - A new hypergeometric transformation of the Rathie-Rakha type
VL  - 24
IS  - 3
SP  - 340
EP  - 343
DO  - 10.1016/j.aml.2010.10.019
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2011",
abstract = "A general transformation involving generalized hypergeometric functions has been recently found by Rathie and Rakha using simple arguments and exploiting Gausss summation theorem. In this sequel to the work of Rathie and Rakha, a new hypergeometric transformation formula is derived by their method and by appealing to Gausss second summation theorem. In addition, it is shown that the method fails to give similar hypergeometric transformations in the cases of the classical summation theorems of Kummer, Bailey, Watson and Dixon. (C) 2010 Elsevier Ltd. All rights reserved.",
journal = "Applied Mathematics Letters",
title = "A new hypergeometric transformation of the Rathie-Rakha type",
volume = "24",
number = "3",
pages = "340-343",
doi = "10.1016/j.aml.2010.10.019"
}

Cvijović, Đ.. (2011). A new hypergeometric transformation of the Rathie-Rakha type. in Applied Mathematics Letters, 24(3), 340-343.
https://doi.org/10.1016/j.aml.2010.10.019

Cvijović Đ. A new hypergeometric transformation of the Rathie-Rakha type. in Applied Mathematics Letters. 2011;24(3):340-343.
doi:10.1016/j.aml.2010.10.019 .

Cvijović, Đurđe, "A new hypergeometric transformation of the Rathie-Rakha type" in Applied Mathematics Letters, 24, no. 3 (2011):340-343,
https://doi.org/10.1016/j.aml.2010.10.019 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4378
AB  - A new explicit closed-form formula for the multivariate (n, k)th partial Bell polynomial B(n,k) (x(1), x(2), .... x(n-k+1)) is deduced. The formula involves multiple summations and makes it possible, for the first time, to easily evaluate Bn,k directly for given values of n and k (n GT = k, k = 2, 3,...). Also, a new addition formula (with respect to k) is found for the polynomials Bn,k and it is shown that they admit a new recurrence relation. Several special cases and consequences are pointed out, and some examples are also given. (C) 2011 Elsevier Ltd. All rights reserved.
T2  - Applied Mathematics Letters
T1  - New identities for the partial Bell polynomials
VL  - 24
IS  - 9
SP  - 1544
EP  - 1547
DO  - 10.1016/j.aml.2011.03.043
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2011",
abstract = "A new explicit closed-form formula for the multivariate (n, k)th partial Bell polynomial B(n,k) (x(1), x(2), .... x(n-k+1)) is deduced. The formula involves multiple summations and makes it possible, for the first time, to easily evaluate Bn,k directly for given values of n and k (n GT = k, k = 2, 3,...). Also, a new addition formula (with respect to k) is found for the polynomials Bn,k and it is shown that they admit a new recurrence relation. Several special cases and consequences are pointed out, and some examples are also given. (C) 2011 Elsevier Ltd. All rights reserved.",
journal = "Applied Mathematics Letters",
title = "New identities for the partial Bell polynomials",
volume = "24",
number = "9",
pages = "1544-1547",
doi = "10.1016/j.aml.2011.03.043"
}

Cvijović, Đ.. (2011). New identities for the partial Bell polynomials. in Applied Mathematics Letters, 24(9), 1544-1547.
https://doi.org/10.1016/j.aml.2011.03.043

Cvijović Đ. New identities for the partial Bell polynomials. in Applied Mathematics Letters. 2011;24(9):1544-1547.
doi:10.1016/j.aml.2011.03.043 .

Cvijović, Đurđe, "New identities for the partial Bell polynomials" in Applied Mathematics Letters, 24, no. 9 (2011):1544-1547,
https://doi.org/10.1016/j.aml.2011.03.043 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4463
AB  - In a series of papers [6-10] it has been shown that nine remarkably general families of the finite trigonometric sums could be summed in closed form by making use of the calculus of residues and choosing a particularly convenient integration contour. In this sequel, new summation formulae for three general families of finite tangent and secant sums have been deduced by the same approach. (C) 2011 Elsevier Inc. All rights reserved.
T2  - Applied Mathematics and Computation
T1  - Summation formulae for finite tangent and secant sums
VL  - 218
IS  - 3
SP  - 741
EP  - 745
DO  - 10.1016/j.amc.2011.01.079
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2011",
abstract = "In a series of papers [6-10] it has been shown that nine remarkably general families of the finite trigonometric sums could be summed in closed form by making use of the calculus of residues and choosing a particularly convenient integration contour. In this sequel, new summation formulae for three general families of finite tangent and secant sums have been deduced by the same approach. (C) 2011 Elsevier Inc. All rights reserved.",
journal = "Applied Mathematics and Computation",
title = "Summation formulae for finite tangent and secant sums",
volume = "218",
number = "3",
pages = "741-745",
doi = "10.1016/j.amc.2011.01.079"
}

Cvijović, Đ.. (2011). Summation formulae for finite tangent and secant sums. in Applied Mathematics and Computation, 218(3), 741-745.
https://doi.org/10.1016/j.amc.2011.01.079

Cvijović Đ. Summation formulae for finite tangent and secant sums. in Applied Mathematics and Computation. 2011;218(3):741-745.
doi:10.1016/j.amc.2011.01.079 .

Cvijović, Đurđe, "Summation formulae for finite tangent and secant sums" in Applied Mathematics and Computation, 218, no. 3 (2011):741-745,
https://doi.org/10.1016/j.amc.2011.01.079 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2011
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/4478
AB  - In this paper, the higher-order tangent numbers and higher-order secant numbers, {I(n, k)(n,k=0)(infinity) and {I(n, k)}(n,k=0)(infinity), have been studied in detail. Several known results regarding I(n, k) and I(n, k) have been brought together along with many new results and insights and they all have been proved in a simple and unified manner. In particular, it is shown that the higher-order tangent numbers I(n, k) constitute a special class of the partial multivariate Bell polynomials and that I(n, k) can be computed from the knowledge of I(n, k). In addition, a simple explicit formula involving a double finite sum is deduced for the numbers I(n, k) and it is shown that I(n, k) are linear combinations of the classical tangent numbers T(n). (C) 2011 Elsevier Ltd. All rights reserved.
T2  - Computers and Mathematics with Applications
T1  - Higher-order tangent and secant numbers
VL  - 62
IS  - 4
SP  - 1879
EP  - 1886
DO  - 10.1016/j.camwa.2011.06.031
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2011",
abstract = "In this paper, the higher-order tangent numbers and higher-order secant numbers, {I(n, k)(n,k=0)(infinity) and {I(n, k)}(n,k=0)(infinity), have been studied in detail. Several known results regarding I(n, k) and I(n, k) have been brought together along with many new results and insights and they all have been proved in a simple and unified manner. In particular, it is shown that the higher-order tangent numbers I(n, k) constitute a special class of the partial multivariate Bell polynomials and that I(n, k) can be computed from the knowledge of I(n, k). In addition, a simple explicit formula involving a double finite sum is deduced for the numbers I(n, k) and it is shown that I(n, k) are linear combinations of the classical tangent numbers T(n). (C) 2011 Elsevier Ltd. All rights reserved.",
journal = "Computers and Mathematics with Applications",
title = "Higher-order tangent and secant numbers",
volume = "62",
number = "4",
pages = "1879-1886",
doi = "10.1016/j.camwa.2011.06.031"
}

Cvijović, Đ.. (2011). Higher-order tangent and secant numbers. in Computers and Mathematics with Applications, 62(4), 1879-1886.
https://doi.org/10.1016/j.camwa.2011.06.031

Cvijović Đ. Higher-order tangent and secant numbers. in Computers and Mathematics with Applications. 2011;62(4):1879-1886.
doi:10.1016/j.camwa.2011.06.031 .

Cvijović, Đurđe, "Higher-order tangent and secant numbers" in Computers and Mathematics with Applications, 62, no. 4 (2011):1879-1886,
https://doi.org/10.1016/j.camwa.2011.06.031 . .

TY  - JOUR
AU  - Cvijović, Đurđe
AU  - Miller, Allen R.
PY  - 2010
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3944
AB  - A generalization is provided for a reduction formula for the Kampe de Feriet function due to Cvijovic. (C) 2010 Elsevier Ltd. All rights reserved.
T2  - Applied Mathematics Letters
T1  - A reduction formula for the Kampe de Feriet function
VL  - 23
IS  - 7
SP  - 769
EP  - 771
DO  - 10.1016/j.aml.2010.03.006
ER  - 

@article{
author = "Cvijović, Đurđe and Miller, Allen R.",
year = "2010",
abstract = "A generalization is provided for a reduction formula for the Kampe de Feriet function due to Cvijovic. (C) 2010 Elsevier Ltd. All rights reserved.",
journal = "Applied Mathematics Letters",
title = "A reduction formula for the Kampe de Feriet function",
volume = "23",
number = "7",
pages = "769-771",
doi = "10.1016/j.aml.2010.03.006"
}

Cvijović, Đ.,& Miller, A. R.. (2010). A reduction formula for the Kampe de Feriet function. in Applied Mathematics Letters, 23(7), 769-771.
https://doi.org/10.1016/j.aml.2010.03.006

Cvijović Đ, Miller AR. A reduction formula for the Kampe de Feriet function. in Applied Mathematics Letters. 2010;23(7):769-771.
doi:10.1016/j.aml.2010.03.006 .

Cvijović, Đurđe, Miller, Allen R., "A reduction formula for the Kampe de Feriet function" in Applied Mathematics Letters, 23, no. 7 (2010):769-771,
https://doi.org/10.1016/j.aml.2010.03.006 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2010
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3930
AB  - It was shown that numerous (known and new) results involving various special functions, such as the Hurwitz and Lerch zeta functions and Legendre chi function, could be established in a simple, general and unified manner. In this way, among others, we recovered the Wang and Williams-Zhang generalizations of the classical Eisenstein summation formula and obtained their previously unknown companion formulae. (C) 2010 Elsevier Ltd. All rights reserved.
T2  - Computers and Mathematics with Applications
T1  - Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions
VL  - 59
IS  - 4
SP  - 1484
EP  - 1490
DO  - 10.1016/j.camwa.2010.01.026
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2010",
abstract = "It was shown that numerous (known and new) results involving various special functions, such as the Hurwitz and Lerch zeta functions and Legendre chi function, could be established in a simple, general and unified manner. In this way, among others, we recovered the Wang and Williams-Zhang generalizations of the classical Eisenstein summation formula and obtained their previously unknown companion formulae. (C) 2010 Elsevier Ltd. All rights reserved.",
journal = "Computers and Mathematics with Applications",
title = "Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions",
volume = "59",
number = "4",
pages = "1484-1490",
doi = "10.1016/j.camwa.2010.01.026"
}

Cvijović, Đ.. (2010). Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions. in Computers and Mathematics with Applications, 59(4), 1484-1490.
https://doi.org/10.1016/j.camwa.2010.01.026

Cvijović Đ. Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions. in Computers and Mathematics with Applications. 2010;59(4):1484-1490.
doi:10.1016/j.camwa.2010.01.026 .

Cvijović, Đurđe, "Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions" in Computers and Mathematics with Applications, 59, no. 4 (2010):1484-1490,
https://doi.org/10.1016/j.camwa.2010.01.026 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2010
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3919
AB  - It is known that the Lerch (or periodic) zeta function of non-positive integer order, l(-n)(xi), n is an element of N(0) := {0, 1, 2, 3, ...}, is a polynomial in cot(pi xi) of degree n+1. In this paper, a very simple explicit closed-form formula for this polynomial valid for any degree is derived. In addition, novel analogous explicit closed-form formulae for the Legendre chi function, the alternating Lerch zeta. function and the alternating Legendre chi function are established. The obtained formulae involve the Carlitz-Scoville tangent and secant numbers of higher order, and the derivative polynomials for tangent and secant are used in their derivation. Several special cases and consequences are pointed out, and some examples arc, also given.
T2  - Proceedings of the American Mathematical Society
T1  - The Lerch Zeta and Related Functions of Non-Positive Integer Order
VL  - 138
IS  - 3
SP  - 827
EP  - 836
DO  - 10.1090/S0002-9939-09-10116-8
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2010",
abstract = "It is known that the Lerch (or periodic) zeta function of non-positive integer order, l(-n)(xi), n is an element of N(0) := {0, 1, 2, 3, ...}, is a polynomial in cot(pi xi) of degree n+1. In this paper, a very simple explicit closed-form formula for this polynomial valid for any degree is derived. In addition, novel analogous explicit closed-form formulae for the Legendre chi function, the alternating Lerch zeta. function and the alternating Legendre chi function are established. The obtained formulae involve the Carlitz-Scoville tangent and secant numbers of higher order, and the derivative polynomials for tangent and secant are used in their derivation. Several special cases and consequences are pointed out, and some examples arc, also given.",
journal = "Proceedings of the American Mathematical Society",
title = "The Lerch Zeta and Related Functions of Non-Positive Integer Order",
volume = "138",
number = "3",
pages = "827-836",
doi = "10.1090/S0002-9939-09-10116-8"
}

Cvijović, Đ.. (2010). The Lerch Zeta and Related Functions of Non-Positive Integer Order. in Proceedings of the American Mathematical Society, 138(3), 827-836.
https://doi.org/10.1090/S0002-9939-09-10116-8

Cvijović Đ. The Lerch Zeta and Related Functions of Non-Positive Integer Order. in Proceedings of the American Mathematical Society. 2010;138(3):827-836.
doi:10.1090/S0002-9939-09-10116-8 .

Cvijović, Đurđe, "The Lerch Zeta and Related Functions of Non-Positive Integer Order" in Proceedings of the American Mathematical Society, 138, no. 3 (2010):827-836,
https://doi.org/10.1090/S0002-9939-09-10116-8 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2010
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3918
AB  - Lee, in a series of papers, described a unified formulation of the statistical thermodynamics of ideal quantum gases in terms of the polylogarithm functions. Li(s)(z). It is aimed here to investigate the functions Li(s)(z), for s = 0, -1, -2, which are, following Lee. referred to as the polypseudologarithms (or polypseudologs) of order n equivalent to -s Various known results regarding polypseudologs, mainly obtained in widely differing contexts and currently scattered throughout the literature, have been brought together along with many new results and insights and they all have been proved in a simple and unified manner. In addition, a new general explicit closed-form formula for these functions involving the Carlitz-Scoville higher tangent numbers has been established (C) 2009 Elsevier B.V. All rights reserved.
T2  - Physica A: Statistical Mechanics and Its Applications
T1  - Polypseudologarithms revisited
VL  - 389
IS  - 8
SP  - 1594
EP  - 1600
DO  - 10.1016/j.physa.2009.12.041
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2010",
abstract = "Lee, in a series of papers, described a unified formulation of the statistical thermodynamics of ideal quantum gases in terms of the polylogarithm functions. Li(s)(z). It is aimed here to investigate the functions Li(s)(z), for s = 0, -1, -2, which are, following Lee. referred to as the polypseudologarithms (or polypseudologs) of order n equivalent to -s Various known results regarding polypseudologs, mainly obtained in widely differing contexts and currently scattered throughout the literature, have been brought together along with many new results and insights and they all have been proved in a simple and unified manner. In addition, a new general explicit closed-form formula for these functions involving the Carlitz-Scoville higher tangent numbers has been established (C) 2009 Elsevier B.V. All rights reserved.",
journal = "Physica A: Statistical Mechanics and Its Applications",
title = "Polypseudologarithms revisited",
volume = "389",
number = "8",
pages = "1594-1600",
doi = "10.1016/j.physa.2009.12.041"
}

Cvijović, Đ.. (2010). Polypseudologarithms revisited. in Physica A: Statistical Mechanics and Its Applications, 389(8), 1594-1600.
https://doi.org/10.1016/j.physa.2009.12.041

Cvijović Đ. Polypseudologarithms revisited. in Physica A: Statistical Mechanics and Its Applications. 2010;389(8):1594-1600.
doi:10.1016/j.physa.2009.12.041 .

Cvijović, Đurđe, "Polypseudologarithms revisited" in Physica A: Statistical Mechanics and Its Applications, 389, no. 8 (2010):1594-1600,
https://doi.org/10.1016/j.physa.2009.12.041 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2010
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3876
AB  - Recently, the Fourier series expansions of the Legendre incomplete elliptic integrals F(phi, k) and E(phi, k) of the first and second kind in terms of the amplitude phi were investigated and found in a series of papers. The expansions were derived in several ways, for instance, by using a hypergeometric series approach, and have coefficients involving either the hypergeometric function or the associated Legendre functions of the second kind. In this paper, it is shown that the Fourier series expansions of F(phi, k) and E(phi, k) can be obtained without any difficulty by applying the usual and more familiar Fourier-series technique. Moreover, as an interesting consequence of this approach, both the recently found expansions and the new expansions with coefficients which are solely linear combinations of the complete elliptic integrals of the first and second kind, K(k) and E(k), are obtained in a unified manner. Furthermore, unlike the previously known, the newly established results make it possible to easily compute the Fourier coefficients of F(phi, k) and E(phi, k) analytically.
T2  - Integral Transforms and Special Functions
T1  - The Fourier series expansions of the Legendre incomplete elliptic integrals of the first and second kind
VL  - 21
IS  - 3
SP  - 235
EP  - 242
DO  - 10.1080/10652460903178552
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2010",
abstract = "Recently, the Fourier series expansions of the Legendre incomplete elliptic integrals F(phi, k) and E(phi, k) of the first and second kind in terms of the amplitude phi were investigated and found in a series of papers. The expansions were derived in several ways, for instance, by using a hypergeometric series approach, and have coefficients involving either the hypergeometric function or the associated Legendre functions of the second kind. In this paper, it is shown that the Fourier series expansions of F(phi, k) and E(phi, k) can be obtained without any difficulty by applying the usual and more familiar Fourier-series technique. Moreover, as an interesting consequence of this approach, both the recently found expansions and the new expansions with coefficients which are solely linear combinations of the complete elliptic integrals of the first and second kind, K(k) and E(k), are obtained in a unified manner. Furthermore, unlike the previously known, the newly established results make it possible to easily compute the Fourier coefficients of F(phi, k) and E(phi, k) analytically.",
journal = "Integral Transforms and Special Functions",
title = "The Fourier series expansions of the Legendre incomplete elliptic integrals of the first and second kind",
volume = "21",
number = "3",
pages = "235-242",
doi = "10.1080/10652460903178552"
}

Cvijović, Đ.. (2010). The Fourier series expansions of the Legendre incomplete elliptic integrals of the first and second kind. in Integral Transforms and Special Functions, 21(3), 235-242.
https://doi.org/10.1080/10652460903178552

Cvijović Đ. The Fourier series expansions of the Legendre incomplete elliptic integrals of the first and second kind. in Integral Transforms and Special Functions. 2010;21(3):235-242.
doi:10.1080/10652460903178552 .

Cvijović, Đurđe, "The Fourier series expansions of the Legendre incomplete elliptic integrals of the first and second kind" in Integral Transforms and Special Functions, 21, no. 3 (2010):235-242,
https://doi.org/10.1080/10652460903178552 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2010
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3870
AB  - In a recent paper Dattoli and Srivastava [3], by resorting to umbral calculus, conjectured several generating functions involving harmonic numbers. In this sequel to their work our aim is to rigorously demonstrate the truth of the Dattoli-Srivastava conjectures by making use of simple analytical arguments. In addition, one of these conjectures is stated and proved in more general form. (C) 2009 Elsevier Inc. All rights reserved.
T2  - Applied Mathematics and Computation
T1  - The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers
VL  - 215
IS  - 11
SP  - 4040
EP  - 4043
DO  - 10.1016/j.amc.2009.12.011
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2010",
abstract = "In a recent paper Dattoli and Srivastava [3], by resorting to umbral calculus, conjectured several generating functions involving harmonic numbers. In this sequel to their work our aim is to rigorously demonstrate the truth of the Dattoli-Srivastava conjectures by making use of simple analytical arguments. In addition, one of these conjectures is stated and proved in more general form. (C) 2009 Elsevier Inc. All rights reserved.",
journal = "Applied Mathematics and Computation",
title = "The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers",
volume = "215",
number = "11",
pages = "4040-4043",
doi = "10.1016/j.amc.2009.12.011"
}

Cvijović, Đ.. (2010). The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers. in Applied Mathematics and Computation, 215(11), 4040-4043.
https://doi.org/10.1016/j.amc.2009.12.011

Cvijović Đ. The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers. in Applied Mathematics and Computation. 2010;215(11):4040-4043.
doi:10.1016/j.amc.2009.12.011 .

Cvijović, Đurđe, "The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers" in Applied Mathematics and Computation, 215, no. 11 (2010):4040-4043,
https://doi.org/10.1016/j.amc.2009.12.011 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3778
AB  - Recently, a half-dozen remarkably general families of the finite trigonometric sums were summed in closed-form by choosing a particularly convenient integration contour and making use of the calculus of residues. In this sequel, we show that this procedure can be further extended and we find the summation formulae, in terms of the higher order Bernoulli polynomials and the ordinary Bernoulli polynomials, for four general families of the finite cotangent sums. (C) 2009 Elsevier Inc. All rights reserved.
T2  - Applied Mathematics and Computation
T1  - Summation formulae for finite cotangent sums
VL  - 215
IS  - 3
SP  - 1135
EP  - 1140
DO  - 10.1016/j.amc.2009.06.053
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2009",
abstract = "Recently, a half-dozen remarkably general families of the finite trigonometric sums were summed in closed-form by choosing a particularly convenient integration contour and making use of the calculus of residues. In this sequel, we show that this procedure can be further extended and we find the summation formulae, in terms of the higher order Bernoulli polynomials and the ordinary Bernoulli polynomials, for four general families of the finite cotangent sums. (C) 2009 Elsevier Inc. All rights reserved.",
journal = "Applied Mathematics and Computation",
title = "Summation formulae for finite cotangent sums",
volume = "215",
number = "3",
pages = "1135-1140",
doi = "10.1016/j.amc.2009.06.053"
}

Cvijović, Đ.. (2009). Summation formulae for finite cotangent sums. in Applied Mathematics and Computation, 215(3), 1135-1140.
https://doi.org/10.1016/j.amc.2009.06.053

Cvijović Đ. Summation formulae for finite cotangent sums. in Applied Mathematics and Computation. 2009;215(3):1135-1140.
doi:10.1016/j.amc.2009.06.053 .

Cvijović, Đurđe, "Summation formulae for finite cotangent sums" in Applied Mathematics and Computation, 215, no. 3 (2009):1135-1140,
https://doi.org/10.1016/j.amc.2009.06.053 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3642
AB  - Recently, an interesting dilogarithmic integral arising in quantum field theory has been closed-form evaluated in terms of the Clausen function Cl(2)(theta) by Coffey [J. Math. Phys. 49, 093508 (2008)]. It represents the volume of an ideal tetrahedron in hyperbolic space and is involved in two intriguing equivalent conjectures of Borwein and Broadhurst. It is shown here by simple and direct arguments that this integral can be expressed by the triplet of the Clausen function values which are involved in one of the two above-mentioned conjectures.
T2  - Journal of Mathematical Physics
T1  - A dilogarithmic integral arising in quantum field theory
VL  - 50
IS  - 2
DO  - 10.1063/1.3085764
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2009",
abstract = "Recently, an interesting dilogarithmic integral arising in quantum field theory has been closed-form evaluated in terms of the Clausen function Cl(2)(theta) by Coffey [J. Math. Phys. 49, 093508 (2008)]. It represents the volume of an ideal tetrahedron in hyperbolic space and is involved in two intriguing equivalent conjectures of Borwein and Broadhurst. It is shown here by simple and direct arguments that this integral can be expressed by the triplet of the Clausen function values which are involved in one of the two above-mentioned conjectures.",
journal = "Journal of Mathematical Physics",
title = "A dilogarithmic integral arising in quantum field theory",
volume = "50",
number = "2",
doi = "10.1063/1.3085764"
}

Cvijović, Đ.. (2009). A dilogarithmic integral arising in quantum field theory. in Journal of Mathematical Physics, 50(2).
https://doi.org/10.1063/1.3085764

Cvijović Đ. A dilogarithmic integral arising in quantum field theory. in Journal of Mathematical Physics. 2009;50(2).
doi:10.1063/1.3085764 .

Cvijović, Đurđe, "A dilogarithmic integral arising in quantum field theory" in Journal of Mathematical Physics, 50, no. 2 (2009),
https://doi.org/10.1063/1.3085764 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3875
AB  - We find simple explicit closed-form formulas for the Fermi-Dirac function F(-n)(z) and Bose-Einstein function B(-n)(z) for arbitrary n is an element of N. The obtained formulas involve the higher tangent numbers defined by Carlitz and Scoville. We present some examples and direct consequences of applying the main results.
T2  - Theoretical and Mathematical Physics
T1  - Fermi-Dirac and Bose-Einstein Functions of Negative Integer Order
VL  - 161
IS  - 3
SP  - 1663
EP  - 1668
DO  - 10.1007/s11232-009-0153-9
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2009",
abstract = "We find simple explicit closed-form formulas for the Fermi-Dirac function F(-n)(z) and Bose-Einstein function B(-n)(z) for arbitrary n is an element of N. The obtained formulas involve the higher tangent numbers defined by Carlitz and Scoville. We present some examples and direct consequences of applying the main results.",
journal = "Theoretical and Mathematical Physics",
title = "Fermi-Dirac and Bose-Einstein Functions of Negative Integer Order",
volume = "161",
number = "3",
pages = "1663-1668",
doi = "10.1007/s11232-009-0153-9"
}

Cvijović, Đ.. (2009). Fermi-Dirac and Bose-Einstein Functions of Negative Integer Order. in Theoretical and Mathematical Physics, 161(3), 1663-1668.
https://doi.org/10.1007/s11232-009-0153-9

Cvijović Đ. Fermi-Dirac and Bose-Einstein Functions of Negative Integer Order. in Theoretical and Mathematical Physics. 2009;161(3):1663-1668.
doi:10.1007/s11232-009-0153-9 .

Cvijović, Đurđe, "Fermi-Dirac and Bose-Einstein Functions of Negative Integer Order" in Theoretical and Mathematical Physics, 161, no. 3 (2009):1663-1668,
https://doi.org/10.1007/s11232-009-0153-9 . .

TY  - JOUR
AU  - Cvijović, Đurđe
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3704
AB  - In this sequel to our recent note [D. Cvijovic, Values of the derivatives of the cotangent at rational multiples of pi, Appl. Math. Lett. http://dx.doi.org/10.1016/J.aml.2008.03.013] it is shown, in a unified manner, by making use of some basic properties of certain special functions, such as the Hurwitz zeta function, Lerch zeta function and Legendre chi function, that the values of all derivatives of four trigonometric functions at rational multiples of pi can be expressed in closed form as simple finite sums involving the Bernoulli and Euler polynomials. In addition, some particular cases are considered. (C) 2008 Elsevier Ltd. All rights reserved.
T2  - Applied Mathematics Letters
T1  - Closed-form formulae for the derivatives of trigonometric functions at rational multiples of pi
VL  - 22
IS  - 6
SP  - 906
EP  - 909
DO  - 10.1016/j.aml.2008.07.019
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2009",
abstract = "In this sequel to our recent note [D. Cvijovic, Values of the derivatives of the cotangent at rational multiples of pi, Appl. Math. Lett. http://dx.doi.org/10.1016/J.aml.2008.03.013] it is shown, in a unified manner, by making use of some basic properties of certain special functions, such as the Hurwitz zeta function, Lerch zeta function and Legendre chi function, that the values of all derivatives of four trigonometric functions at rational multiples of pi can be expressed in closed form as simple finite sums involving the Bernoulli and Euler polynomials. In addition, some particular cases are considered. (C) 2008 Elsevier Ltd. All rights reserved.",
journal = "Applied Mathematics Letters",
title = "Closed-form formulae for the derivatives of trigonometric functions at rational multiples of pi",
volume = "22",
number = "6",
pages = "906-909",
doi = "10.1016/j.aml.2008.07.019"
}

Cvijović, Đ.. (2009). Closed-form formulae for the derivatives of trigonometric functions at rational multiples of pi. in Applied Mathematics Letters, 22(6), 906-909.
https://doi.org/10.1016/j.aml.2008.07.019

Cvijović Đ. Closed-form formulae for the derivatives of trigonometric functions at rational multiples of pi. in Applied Mathematics Letters. 2009;22(6):906-909.
doi:10.1016/j.aml.2008.07.019 .

Cvijović, Đurđe, "Closed-form formulae for the derivatives of trigonometric functions at rational multiples of pi" in Applied Mathematics Letters, 22, no. 6 (2009):906-909,
https://doi.org/10.1016/j.aml.2008.07.019 . .