Some Erdélyi-Kober Fractional Integrals of the Extended Hypergeometric Functions

Pp: 259-269 (11)

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Abstract

This paper aims to establish some new formulas and results related to the Erdélyi-Kober fractional integral operator applied to the extended hypergeometric functions. The results are expressed as the Hadamard product of the extended and confluent hypergeometric functions. Some special cases of our main results are also derived.

Keywords: Gamma Function, Beta function, Erdélyi-Kober fractional integral operators, Hadamard product, Gauss hypergeometric function, Confluent hypergeometric function, extended hypergeometric functions.

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Some Erdélyi-Kober Fractional Integrals of the Extended Hypergeometric Functions

Abstract

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