APPLICATION OF A CERTAIN FAMILY OF HYPERGEOMETRIC SUMMATION FORMULAS ASSOCIATED WITH PSI AND ZETA FUNCTIONS

  • Choi, June-Sang (Department of Mathematics, College of Natural Sciences, Dongguk University) ;
  • H.M.Srivastava (Department of Mathematics and Statistics, University of Victoria) ;
  • Kim, Yong-Sup (Department of Mathematics, College of Natural Sciences, Wonkwang University)
  • Published : 2001.04.01

Abstract

The main object of this paper is first to give tow contiguous analogues of a well-known hypergeometric summation formula for $_2$F$_1$(1/2). We then apply each of these analogues with a view to evaluating the sums of several classes of series in terms of Psi(or Digamma) and the Zeta functions. Relevant connections of the series identities presented here with those given elsewhere are also pointed out.

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