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
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/123456789/3919
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/123456789/3870
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/123456789/3827
AB  - In a recent paper, Adamchik [1] expressed in a closed-form symbolic derivatives of four functions belonging to the class of functions whose derivatives are polynomials in terms of the same functions. In this sequel, simple closed-form higher derivative formulae which involve the Carlitz-Scoville higher order tangent and secant numbers are derived for eight trigonometric and hyperbolic functions. (C) 2009 Elsevier Inc. All rights reserved.
T2  - Applied Mathematics and Computation
T1  - Derivative polynomials and closed-form higher derivative formulae
VL  - 215
IS  - 8
SP  - 2002
EP  - 3006
DO  - 10.1016/j.amc.2009.09.047
ER  - 

@article{
author = "Cvijović, Đurđe",
year = "2009",
abstract = "In a recent paper, Adamchik [1] expressed in a closed-form symbolic derivatives of four functions belonging to the class of functions whose derivatives are polynomials in terms of the same functions. In this sequel, simple closed-form higher derivative formulae which involve the Carlitz-Scoville higher order tangent and secant numbers are derived for eight trigonometric and hyperbolic functions. (C) 2009 Elsevier Inc. All rights reserved.",
journal = "Applied Mathematics and Computation",
title = "Derivative polynomials and closed-form higher derivative formulae",
volume = "215",
number = "8",
pages = "2002-3006",
doi = "10.1016/j.amc.2009.09.047"
}

Cvijović, Đ.. (2009). Derivative polynomials and closed-form higher derivative formulae. in Applied Mathematics and Computation, 215(8), 2002-3006.
https://doi.org/10.1016/j.amc.2009.09.047

Cvijović Đ. Derivative polynomials and closed-form higher derivative formulae. in Applied Mathematics and Computation. 2009;215(8):2002-3006.
doi:10.1016/j.amc.2009.09.047 .

Cvijović, Đurđe, "Derivative polynomials and closed-form higher derivative formulae" in Applied Mathematics and Computation, 215, no. 8 (2009):2002-3006,
https://doi.org/10.1016/j.amc.2009.09.047 . .