On generalized fractional integral operator involving Fox's $H$-function and its applications to unified subclass of prestarlike functions with negative coefficients

Abstract

The aim of present paper is to find out different interesting properties and characterization of unified class $P_{\gamma}(A, B, \alpha,\sigma)$ of prestarlike functions with negative coefficients in the unit disc $U$. Furthermore, distortion theorems involving a generalized fractional integral operator involving well-known Fox's $H$-function for functions in this class are proved.