Some generating relations for extended hypergeometric functions via generalized fractional derivative operator

Abstract

Recently an extension of beta function containing an extra parameter, which proved to be useful earlier, was used to extend the hypergeometric functions (Aslam Chaudhry, 2004 [6]). In this paper, linear and bilinear generating relations for extended hypergeometric functions are obtained by defining the extension of the fractional derivative operator. Some properties of the extended fractional derivative operator are also presented. (C) 2010 Elsevier Ltd. All rights reserved.