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EULER SUMS EVALUATABLE FROM INTEGRALS
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 Title & Authors
EULER SUMS EVALUATABLE FROM INTEGRALS
Jung, Myung-Ho; Cho, Young-Joon; Choi, June-Sang;
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 Abstract
Ever since the time of Euler, the so-called Euler sums have been evaluated in many different ways. We give here a proof of the classical Euler sum by following Lewin`s method. We also consider some related formulas involving Euler sums, which are evaluatable from some known definite integrals.
 Keywords
Euler sums;Gamma function;(generalized) harmonic numbers;Psi function;Polygamma function;Riemann Zeta function;Hurwitz Zeta function;Polylogarithm function;
 Language
English
 Cited by
1.
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