Note on Cahen's integral formulas
Commun. Korean Math. Soc. 2002 Vol. 17, No. 1, 15-20
Printed March 1, 2002
Junesang Choi
Dongguk University
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 $E_n$ are also obtained as by-products.
Keywords : Gamma function, Riemann's $\zeta$-function, Hurwitz Zeta function, Euler numbers
MSC numbers : Primary 33B99; Secondary 11M06, 11M99
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