Some results on the extended beta and extended hypergeometric functions

The purpose of this paper is to present a systematic study of some extended special functions like Bb;ρ,λα,βx,y,2F1α,β;ρ,λz;b and pFqα,β;ρ,λz;b. We obtain various properties of these extended functions and establish their some connections with the Laguerre polynomial and Fox’s H-function. Furthermore, we also establish the extended Riemann–Liouville type fractional integral operator and extended Kober type fractional integral operators.