Further Results on the $\left(p,k\right)-$Analogue of Hypergeometric Functions Associated with Fractional Calculus Operators

Abstract

In a previous article, first and last researchers introduced an extension of the hypergeometric functions which is called “ p , k -extended hypergeometric functions.” Motivated by this work, here, we derive several novel properties for these functions, including integral representations, derivative formula, k-Beta transform, Laplace and inverse Laplace transforms, and operators of fractional calculus. Relevant connections of some of the discussed results here with those presented in earlier references are outlined.