Note on two-term relation for hypergeometric function of unit argument
M. P. Chaudhary, Salahuddin Salahuddin, Vinesh Kumar
Abstract
M. P. Chaudhary, Salahuddin Salahuddin, Vinesh Kumar
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.
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)