Hadamard Product on Subclasses of Meromorphic Functions Involving q-Difference Operator

Abstract

By making use of a q-derivative operator, certain families of meromorphic q-starlike functions and meromorphic q-convex functions are introduced and studied. In this paper, we define a q-analogous value of differential operators for meromorphic functions with the help of basic concepts of quantum (q-)calculus operator theory and introduce new subclasses of meromorphic functions. Several sufficient conditions and coefficient inequalities for functions in these subclasses are derived. Also, for these subclasses of analytic functions, some conclusions regarding the Hadamard product are established. The results presented in this article extend and generalise a number of previous results.