MMN-359

Comments on “New hypergeometric identities arising fromGauss’s second summation theorem”

Medhat K. Rakha; Arjun K. Rathie; Purnima Chopra; Richard B. Paris;

Abstract

In 1997, Exton [J. Comput. Appl. Math. 88 (1997) 269–274] obtained a general transfor- mation involving hypergeometric functions by elementary manipulation of series. A number of hypergeometric identities not previously recorded in the literature were then deduced by application of Gauss’ second summation theorem and other known hypergeometric summa- tion theorems. However, many of the results stated by Exton contain errors. It is the purpose of this note to present the corrected forms of these hypergeometric identities.


Vol. 13 (2012), No. 1, pp. 87-89
DOI: https://doi.org/10.18514/MMN.2012.359


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