Applications of Higher-Order q-Derivative to Meromorphic q-Starlike Function Related to Janowski Function

Abstract

By making use of a higher-order q-derivative operator, certain families of meromorphic q-starlike functions and meromorphic q-convex functions are introduced and studied. Several sufficient conditions and coefficient inequalities for functions in these subclasses are derived. The results presented in this article extend and generalize a number of previous results.