A NEW SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY CONVOLUTION

Abstract

In the present paper we introduce a new subclass of analytic functions in the unit disc defined by convolution (f_μ)^(−1)* f(z), where

f_μ = (1 − μ)z 2 F_1(a,b;c;z) + μz(z 2 F_1(a,b;c;z))′.
Several interesting properties of the class and integral preserving

properties of the subclasses are also considered.