CERTAIN EXTENDED TYPE HYPERGEOMETRIC FUNCTIONS OF TWO AND THREE VARIABLES

Shaher  Momani; PRAVEEN AGARWAL; Shilpi  Jain; Clemente  Cesarano

doi:10.5269/bspm.63437

Shaher Momani
PRAVEEN AGARWAL Anand ICE, Jaipur
Shilpi Jain
Clemente Cesarano

Resumen

The major objective of the present article is to study the new extension
of hypergeometric functions of two and three variables by the using of 2 parameters
Mittag-Leffler function. In the present article mainly, we study the integral representations of these extended hypergeometric functions and obtained some important
properties of the extended Riemann-Liouville type fractional derivative operator. We
have also derived some generating functions for generalized hypergeometric functions
by using the extended Riemann-Liouville type fractional derivative operator.

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Citas

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