Some multiple series identities

Date

2010-05-17T15:46:21Z

Authors

Jaimini, B. B.
Koul, C. L.
Srivastava, H.M.

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Abstract

The object of the present paper is to establish three general multiple series identities and to exhibit the connection of each of these identities with various results given recently in the mathematical literature. Some hypergeometric transformation and reduction formulas are also deduced as interesting consequences of the series identities proven here.

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Keywords

hypergeometric transformations, series identities, generalized Lauricella series, Chu-Vandermonde theorem, reduction formulas, Gaussian hypergeometric function

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