Starlikeness and Convexity of Certain Classes of Meromorphically Multivalent Functions

Abstract

The purpose of this paper is to investigate the problems of finding the order of starlikeness and the order of convexity of the products of certain meromorphically p-valent functions belonging to some interesting classes of beta-uniformly p-valent starlike functions and beta-uniformly p-valent convex functions in the open unit disk U. The main results presented in the paper are capable of being specialized suitably in order to deduce the solutions of the corresponding problems for relatively more familiar subclasses of meromorphically p-valent functions in U.