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A SUMMATION FORMULA FOR THE SERIES 3F2 DUE TO FOX AND ITS GENERALIZATIONS
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 Title & Authors
A SUMMATION FORMULA FOR THE SERIES 3F2 DUE TO FOX AND ITS GENERALIZATIONS
Choi, Junesang; Rathie, Arjun K.;
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 Abstract
Fox [2] presented an interesting identity for which is expressed in terms of a finite summation of `s whose involved numerator and denominator parameters are different from those in the starting one. Moreover Fox [2] found a very interesting and general summation formula for as a special case of his above-mentioned general identity with the help of Kummer`s second summation theorem for . Here, in this paper, we show how two general summation formulas for , m being a nonnegative integer and i any integer, can be easily established by suitably specializing the above-mentioned Fox`s general identity with, here, the aid of generalizations of Kummer`s second summation theorem for obtained recently by Rakha and Rathie [7]. Several known results are also seen to be certain special cases of our main identities.
 Keywords
Gamma function;Pochhammer symbol;hypergeometric function;generalized hypergeometric function;Kummer`s second summation theorem;Fox`s identity;
 Language
English
 Cited by
 References
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2.
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