Title of article :
CERTAIN INTEGRAL TRANSFORMS and FRACTIONAL INTEGRAL FORMULAS FOR THE EXTENDED HYPERGEOMETRIC FUNCTIONS
Author/Authors :
PARMAR, R.K Department of Mathematics - College of Engineering and Technology - Bikaner, India , PUROHIT, S.D Department of HEAS(Mathematics) - Rajasthan Technical University - Kota, India
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
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics