Applications of Higher-Order Derivatives to the Subclasses of ‎Meromorphic Starlike Functions

Abstract

In this paper, we introduce and study some new classes of multivalent (p -valent) meromorphically starlike functions involving Higher-Order derivatives. For these multivalent classes of functions, we derive several interesting properties including sharp coefficient bounds, neighborhoods, partial sums and inclusion relationships. For validity of our results relevant connections with those in earlier works are also pointed out.

Keywords

• meromoprhic functions
• meromorphically starlike functions
• functions with positive real parts
• higher-order derivatives