A note on a hypergeometric transformation formula due to Slater with an application

Y. S. Kim, A. K. Rathie, R. B. Paris

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Abstract

In this note we state (with minor corrections) and give an alternative proof of a very general hypergeometric transformation formula due to Slater. As an application, we obtain a new hypergeometric transformation formula for a 5F4(−1) series with one pair of parameters differing by unity expressed as a linear combination of two 3F2(1) series.
Original languageEnglish
Pages (from-to)217-223
Number of pages7
JournalMathematica Æterna
Volume5
Issue number1
Publication statusPublished - 2015

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Kim, Y. S., Rathie, A. K., & Paris, R. B. (2015). A note on a hypergeometric transformation formula due to Slater with an application. Mathematica Æterna, 5(1), 217-223.