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)
23 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

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Summation
Generalized Hypergeometric Function
Transformation Formula
Series
Theorem
Euler
Integer
Generalization

Cite this

Kim, Yong S. ; Rathie, Arjun K. ; Paris, Richard B. / An extension of Saalschütz's summation theorem for the series r+3Fr+2. In: Integral Transforms and Special Functions. 2013 ; Vol. 24, No. 11. pp. 916-921.
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An extension of Saalschütz's summation theorem for the series r+3Fr+2. / Kim, Yong S.; Rathie, Arjun K.; Paris, Richard B.

In: Integral Transforms and Special Functions, Vol. 24, No. 11, 2013, p. 916-921.

Research output: Contribution to journalArticle

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AU - Rathie, Arjun K.

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JF - Integral Transforms and Special Functions

SN - 1065-2469

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