Ministry of Science of the Republic of Serbia [144004], Natural Sciences and Engineering Research Council of Canada [OGP0007353]

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Ministry of Science of the Republic of Serbia [144004], Natural Sciences and Engineering Research Council of Canada [OGP0007353]

Authors

Publications

Evaluations of some classes of the trigonometric moment integrals

Cvijović, Đurđe; Srivastava, H. M.

(2009)

TY  - JOUR
AU  - Cvijović, Đurđe
AU  - Srivastava, H. M.
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3593
AB  - Four classes of the trigonometric moment integrals are evaluated in closed form in a simple and unified manner by making use of the contour integration in conjunction with the Cauchy integral theorem. In all cases, the closed contour of the same shape is used and it is shown that the integrals are expressible only in terms of the Hurwitz zeta function and elementary functions. A number of interesting (known or new) special cases and consequences of the main results are also considered. (c) 2008 Elsevier Inc. All rights reserved.
T2  - Journal of Mathematical Analysis and Applications
T1  - Evaluations of some classes of the trigonometric moment integrals
VL  - 351
IS  - 1
SP  - 244
EP  - 256
DO  - 10.1016/j.jmaa.2008.10.017
ER  - 
@article{
author = "Cvijović, Đurđe and Srivastava, H. M.",
year = "2009",
abstract = "Four classes of the trigonometric moment integrals are evaluated in closed form in a simple and unified manner by making use of the contour integration in conjunction with the Cauchy integral theorem. In all cases, the closed contour of the same shape is used and it is shown that the integrals are expressible only in terms of the Hurwitz zeta function and elementary functions. A number of interesting (known or new) special cases and consequences of the main results are also considered. (c) 2008 Elsevier Inc. All rights reserved.",
journal = "Journal of Mathematical Analysis and Applications",
title = "Evaluations of some classes of the trigonometric moment integrals",
volume = "351",
number = "1",
pages = "244-256",
doi = "10.1016/j.jmaa.2008.10.017"
}
Cvijović, Đ.,& Srivastava, H. M.. (2009). Evaluations of some classes of the trigonometric moment integrals. in Journal of Mathematical Analysis and Applications, 351(1), 244-256.
https://doi.org/10.1016/j.jmaa.2008.10.017
Cvijović Đ, Srivastava HM. Evaluations of some classes of the trigonometric moment integrals. in Journal of Mathematical Analysis and Applications. 2009;351(1):244-256.
doi:10.1016/j.jmaa.2008.10.017 .
Cvijović, Đurđe, Srivastava, H. M., "Evaluations of some classes of the trigonometric moment integrals" in Journal of Mathematical Analysis and Applications, 351, no. 1 (2009):244-256,
https://doi.org/10.1016/j.jmaa.2008.10.017 . .
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Some discrete Fourier transform pairs associated with the Lipschitz-Lerch Zeta function

Cvijović, Đurđe; Srivastava, H. M.

(2009)

TY  - JOUR
AU  - Cvijović, Đurđe
AU  - Srivastava, H. M.
PY  - 2009
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/3721
AB  - It is shown that there exists a companion formula to Srivastavas formula for the Lipschitz-Lerch Zeta function [see H.M. Srivastava, Some formulas for the Bernoulli and Euler polynomials at rational arguments, Math. Proc. Cambridge Philos. Soc. 129 (2000) 77-84] and that together these two results form a discrete Fourier transform pair. This Fourier transform pair makes it possible for other (known or new) results involving the values of various Zeta functions at rational arguments to be easily recovered or deduced in a more general context and in a remarkably unified manner. (C) 2009 Elsevier Ltd. All rights reserved.
T2  - Applied Mathematics Letters
T1  - Some discrete Fourier transform pairs associated with the Lipschitz-Lerch Zeta function
VL  - 22
IS  - 7
SP  - 1081
EP  - 1084
DO  - 10.1016/j.aml.2008.08.024
ER  - 
@article{
author = "Cvijović, Đurđe and Srivastava, H. M.",
year = "2009",
abstract = "It is shown that there exists a companion formula to Srivastavas formula for the Lipschitz-Lerch Zeta function [see H.M. Srivastava, Some formulas for the Bernoulli and Euler polynomials at rational arguments, Math. Proc. Cambridge Philos. Soc. 129 (2000) 77-84] and that together these two results form a discrete Fourier transform pair. This Fourier transform pair makes it possible for other (known or new) results involving the values of various Zeta functions at rational arguments to be easily recovered or deduced in a more general context and in a remarkably unified manner. (C) 2009 Elsevier Ltd. All rights reserved.",
journal = "Applied Mathematics Letters",
title = "Some discrete Fourier transform pairs associated with the Lipschitz-Lerch Zeta function",
volume = "22",
number = "7",
pages = "1081-1084",
doi = "10.1016/j.aml.2008.08.024"
}
Cvijović, Đ.,& Srivastava, H. M.. (2009). Some discrete Fourier transform pairs associated with the Lipschitz-Lerch Zeta function. in Applied Mathematics Letters, 22(7), 1081-1084.
https://doi.org/10.1016/j.aml.2008.08.024
Cvijović Đ, Srivastava HM. Some discrete Fourier transform pairs associated with the Lipschitz-Lerch Zeta function. in Applied Mathematics Letters. 2009;22(7):1081-1084.
doi:10.1016/j.aml.2008.08.024 .
Cvijović, Đurđe, Srivastava, H. M., "Some discrete Fourier transform pairs associated with the Lipschitz-Lerch Zeta function" in Applied Mathematics Letters, 22, no. 7 (2009):1081-1084,
https://doi.org/10.1016/j.aml.2008.08.024 . .
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