A NOTE ON A TRANSFOPRMATION FORMULA DUE TO BAILEY

Neethu . P, Ujjwal Pandey

Abstract


In the theory of hypergeometric and genralized hypergeometric series, classical summation theorems such as those of Gauss, Gauss second, Kummer and Bailey for the series 2F1; Watson, Dixon, Whipple and Saalschutz for the series 3F2 and others play an important role. Applications of these summation theorems are well known now. In a very useful, interesting and an excellent research paper, Bailey has obtained a large number of very interesting results involving products of generalized hypergeometric series (including the results to Preece, Kummer and Ramanujan) by employing the above mentioned classical summation theorems.

One of the result obtained by Bailey needs minor correction which is our aim in this short note. In our analysis, we employed Whipple’s summation theorem for the series 3F2

Keywords


Generalized Hypergeometric Function, Whipple Theorem,Transformation Formula

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