Evaluations of some classes of the trigonometric moment integrals

Cvijović, Đurđe; Srivastava, H. M.

doi:10.1016/j.jmaa.2008.10.017

2009

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Cvijović, Đurđe

Srivastava, H. M.

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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.

Keywords:

Definite integration / Contour integration / Cauchy integral theorem / Integral formulas / Cotangent integral / Tangent integral / Cosecant integral / Secant integral / Hurwitz zeta function / Riemann zeta function

Source:
Journal of Mathematical Analysis and Applications, 2009, 351, 1, 244-256

Projects:

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

DOI: 10.1016/j.jmaa.2008.10.017

ISSN: 0022-247X

WoS: 000261844900023

Scopus: 2-s2.0-56649099050

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	2
	2

TY  - JOUR
AU  - Cvijović, Đurđe
AU  - Srivastava, H. M.
PY  - 2009
UR  - http://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",
url = "http://vinar.vin.bg.ac.rs/handle/123456789/3593",
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 HM. Evaluations of some classes of the trigonometric moment integrals. Journal of Mathematical Analysis and Applications. 2009;351(1):244-256

Cvijović, Đ.,& Srivastava, H. M. (2009). Evaluations of some classes of the trigonometric moment integrals.
Journal of Mathematical Analysis and Applications, 351(1), 244-256.
https://doi.org/10.1016/j.jmaa.2008.10.017

Cvijović Đurđe, Srivastava H. M., "Evaluations of some classes of the trigonometric moment integrals" 351, no. 1 (2009):244-256,
https://doi.org/10.1016/j.jmaa.2008.10.017 .