An Operator Defined on Hadamard Product Pertaining to Generalized Hurwitz-Lerch Zeta Function with Conical Section

Abstract

The author’s goal is to highlight the most recent developments in the research on the study of complex-valued functions as seen through an understanding of geometric function theory. Contributions will be required for any aspect of the Hadamard product associated to the generalized Hurwitz-Lerch Zeta function convoluted with the theory of functions that are univalent. In the present investigation, the author focused into the inclusion relations of a few subclasses of the -starlike functions, -uniformly convex functions, and -quasi-convex functions which together make up the generalized Hurwitz-Lerch Zeta function.