Evaluations of some classes of the trigonometric moment integrals
Апстракт
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.
Кључне речи:
Definite integration / Contour integration / Cauchy integral theorem / Integral formulas / Cotangent integral / Tangent integral / Cosecant integral / Secant integral / Hurwitz zeta function / Riemann zeta functionИзвор:
Journal of Mathematical Analysis and Applications, 2009, 351, 1, 244-256Финансирање / пројекти:
- 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
Институција/група
VinčaTY - 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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