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http://dx.doi.org/10.4134/CKMS.2002.17.1.015

NOTE ON CAHEN′S INTEGRAL FORMULAS  

Choi, June-Sang (Department of Mathematics, College of Natural Sciences, Dongguk University)
Publication Information
Communications of the Korean Mathematical Society / v.17, no.1, 2002 , pp. 15-20 More about this Journal
Abstract
We present an explicit form for a class of definite integrals whose special cases include some definite integrals evaluated, over a century ago, by Cahen who made use of an appropriate contour integral for the integrand of a well-known integral representation of the Riemann Zeta function given in (3). Furthermore another analogous class of definite integral formulas and some identities involving Riemann Zeta function and Euler numbers En are also obtained as by-products.
Keywords
Gamma function; Riemann′s ζ-function; Hurwitz Zeta function; Euler numbers;
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