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Evaluations of some classes of the trigonometric moment integrals

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2009
3589.pdf (224.3Kb)
Authors
Cvijović, Đurđe
Srivastava, H. M.
Article
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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 (print)

WoS: 000261844900023

Scopus: 2-s2.0-56649099050
[ Google Scholar ]
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URI
http://vinar.vin.bg.ac.rs/handle/123456789/3593
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Institution
Vinča

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