On Integral Operator Defined by Convolution Involving Hybergeometric Functions

Abstract

Forλ>−1andμ≥0, we consider a liner operatorIλμon the class𝒜of analytic functions in the unit disk defined by the convolution(fμ)(−1)∗f(z), wherefμ=(1−μ)z2F1(a,b,c;z)+μz(z2F1(a,b,c;z))', and introduce a certain new subclass of𝒜using this operator. Several interesting properties of these classes are obtained.