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Closed-form evaluations of definite integrals and associated infinite series involving the Riemann zeta function.

Authors :
Joon Cho, Young
Jung, Myungho
Choi, Junesang
Srivastava, H.M.
Source :
International Journal of Computer Mathematics; May/Jun2006, Vol. 83 Issue 5/6, p461-472, 12p
Publication Year :
2006

Abstract

A class of definite integrals are evaluated using the Cauchy residue theorem. These evaluations are then used to obtain closed-form expressions for several infinite series associated with the Riemann zeta function. A number of interesting (known or new) special cases and consequences of the main results are also considered. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00207160
Volume :
83
Issue :
5/6
Database :
Complementary Index
Journal :
International Journal of Computer Mathematics
Publication Type :
Academic Journal
Accession number :
23233806
Full Text :
https://doi.org/10.1080/00207160600914785