An extension of Saalschütz's summation theorem for the series r+3Fr+2

Yong S. Kim, Arjun K. Rathie, Richard B. Paris

Research output: Contribution to journalArticle

4 Citations (Scopus)
37 Downloads (Pure)

Abstract

The aim in this research note is to provide an extension of Saalschütz's summation theorem for the series r+3Fr+2(1) when r pairs of numeratorial and denominatorial parameters differ by positive integers. The result is obtained by exploiting a generalization of an Euler-type transformation recently derived by Miller and Paris [Transformation formulas for the generalized hypergeometric function with integral parameter differences. Rocky Mountain J Math. 2013;43, to appear].
Original languageEnglish
Pages (from-to)916-921
Number of pages6
JournalIntegral Transforms and Special Functions
Volume24
Issue number11
Early online date16 May 2013
DOIs
Publication statusPublished - 2013

    Fingerprint

Cite this