2018•Journal of the Indian Mathematical SocietyRequires access

Some Properties of Extended Hypergeometric Function and Its Transformations

Aparna Chaturvedi, Prakriti Rai

Abstract

There emerges different extended versions of Beta function and hypergeometric functions containing extra parameters. We obtain some properties of certain functions like extended Generalized Gauss hypergeometric functions, extended Confluent hypergeometric functions including transformation formulas, Mellin transformation for the generalized extended Gauss hypergeometric function in one, two and more variables.

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Key concepts: Confluent hypergeometric function, Hypergeometric function of a matrix argument, Generalized hypergeometric function, Basic hypergeometric series, Mathematics, Bilateral hypergeometric series, Hypergeometric identity, Lauricella hypergeometric series