Applications of Higher-Order <i>q</i>-Derivative to Meromorphic <i>q</i>-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.

Keywords

• <i>q</i>-derivative
• analytic functions
• differential subordination
• meromorphic functions
• meromorphic <i>q</i>-starlike functions
• meromorphic <i>q</i>-convex functions