Generalized hypergeometric functions associated with k- uniformly convex functions

Abstract

For a certain linear operator which is defined by means of the Hadamard product (or convolution) with a generalized hypergeometric function, the authors aim at investigating various mapping and inclusion properties involving such subclasses of analytic and univalent functions as (for example) k- uniformly convex functions and k- starlike functions. Relevant connections of the definitions and results presented in this paper with those in several earlier works on the subject are also pointed out.