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New hypergeometric identities arising from Gauss's second summation theorem - MaRDI portal

New hypergeometric identities arising from Gauss's second summation theorem (Q1385047)

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scientific article; zbMATH DE number 1145893
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New hypergeometric identities arising from Gauss's second summation theorem
scientific article; zbMATH DE number 1145893

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    New hypergeometric identities arising from Gauss's second summation theorem (English)
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    9 December 1998
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    Identities involving hypergeometric series have various applications and some of them are led to the solution of long standing open questions. In this paper, the author has obtained a number of hypergeometric identities which are not previously recorded in the literature, and the elementary manipulation of series is applied to obtain a quite general transformation involving hypergeometric functions.
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    generalized hypergeometric series
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    hypergeometric identities
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