2011Global Journal of Human Social ScienceRequires access

Note on two-term relation for hypergeometric function of unit argument

M. P. Chaudhary, Salahuddin Salahuddin, Vinesh Kumar

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Abstract

Thomae introduced the concept of two-term relation for hypergeometric function. Recently Exton has studied some new results of this kind using elementary manipulation of series. Here, we deduce some a new two-term relation for hypergeometric function of unit argument and further obtain relation between different hypergeometric function.

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Thomae introduced the concept of two-term relation for hypergeometric function. Recently Exton has studied some new results of this kind using elementary manipulation of series. Here, we deduce some a new two-term relation for hypergeometric function of unit argument and further obtain relation between different hypergeometric function.

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Available abstract

Thomae introduced the concept of two-term relation for hypergeometric function. Recently Exton has studied some new results of this kind using elementary manipulation of series. Here, we deduce some a new two-term relation for hypergeometric function of unit argument and further obtain relation between different hypergeometric function.

Key concepts: Lauricella hypergeometric series, Hypergeometric function of a matrix argument, Basic hypergeometric series, Bilateral hypergeometric series, Confluent hypergeometric function, Hypergeometric identity, Generalized hypergeometric function, Term (time)

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