A class of multivalent functions defined by generalized Ruscheweyh derivatives involving a general fractional derivative operator

Abstract

The main aim of the present paper is to obtain a new class of multivalent functions which is defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator.We study the region of starlikeness and convexity of the class . Also we apply the Fractional calculus techniques to obtain the applications of the class . Finally, the familiar concept of δ-neighborhoods of p-valent functions for above mentioned class are employed.