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NOTE ON CAHEN′S INTEGRAL FORMULAS
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 Title & Authors
NOTE ON CAHEN′S INTEGRAL FORMULAS
Choi, June-Sang;
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 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;
 Language
English
 Cited by
 References
1.
Ecole Normale Superieure, 1894. vol.11. 3, pp.75-164

2.
Complex Variables and Applications (2nd Ed.), 1960.

3.
Higher Transcendental Functions, 1953. vol.I.

4.
Table of Integrals, Series, and Products, 2000.

5.
A Course of Modern Analysis (4th Ed.), 1963.