[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2004.19.3.545

EULER SUMS EVALUATABLE FROM INTEGRALS

Jung, Myung-Ho (Department of Mathematics College of Natural Sciences Pusan National University)
Cho, Young-Joon (Department of Mathematics Education Pusan National University)
Choi, June-Sang (Department of Mathematics College of Natural Sciences Dongguk University)

Publication Information

Communications of the Korean Mathematical Society / v.19, no.3, 2004 , pp. 545-555 More about this Journal

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;

Citations & Related Records

Reference

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