Some general properties of analytic and p-valent functions

Abstract

Let Ap be the class of functions f (z) of the form f (z) = zp + ap+1zp+1 + ap+2zp+2 + ..., (p ? N = {1, 2, 3,...}) which are analytic in the open unit disc U. In this article, we consider some generalization properties of the functions in Ap and generalize results by applying fractional derivatives.