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http://dx.doi.org/10.4134/CKMS.2016.31.2.329

NEW CLASS OF INTEGRALS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTION AND THE LOGARITHMIC FUNCTION

Kim, Yongsup (Department of Mathematics Education Wonkwang University)

Publication Information

Communications of the Korean Mathematical Society / v.31, no.2, 2016 , pp. 329-342 More about this Journal

Abstract

Motivated essentially by Brychkov's work [1], we evaluate some new integrals involving hypergeometric function and the logarithmic function (including those obtained by Brychkov[1], Choi and Rathie [3]), which are expressed explicitly in terms of Gamma, Psi and Hurwitz zeta functions suitable for numerical computations.

Keywords

Psi and polygamma functions; Hurwitz zeta function; hypergeometric function; generalized hypergeometric function; classical summation theorems;

Citations & Related Records

Reference

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