On Kummer's second theorem involving product of generalized hypergeometric series

Authors

  • Arjun K. Rathie
  • Vishakha Nagar

Abstract

The aim of this paper is to obtain single series expression for e-x/2 1F1(α;2 α+i;x) for i=1 and i=-1. For i=0, we have the well known Kummer's second theorem. The results are derived with the help of generalized Gauss's second summation theorem recently obtained by Lavoie, Grondin and Rathie.

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Published

1995-12-01

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Section

Articoli