On Integral Operator Defined by Convolution Involving Hybergeometric Functions

Abstract EN

For λ>−1 and μ≥0, we consider a liner operator Iλμ on the class ? of analytic functions in the unit disk defined by the convolution (fμ)(−1)∗f(z), where fμ=(1−μ)z2F1(a,b,c;z)+μz(z2F1(a,b,c;z))', and introduce a certain new subclass of ? using this operator.

Several interesting properties of these classes are obtained.