CERTAIN INTEGRAL TRANSFORMS AND FRACTIONAL INTEGRAL FORMULAS FOR THE EXTENDED HYPERGEOMETRIC FUNCTIONS

R.K. PARMAR, S.D. PUROHIT

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Abstract

In this present paper, we derive various integral transforms, including Euler, Varma, Laplace, and Whittaker integral transforms for the extended hypergeometric functions which has recently been introduced by Choi et al.[3]. Further, we also apply Saigo's fractional integral operators for this extended hypergeometric function. Some interesting special cases of our main results are also considered.

Keywords

extended beta function, extended Gauss hypergeometric functions, integral transforms, fractional integral operators.