Starlike Functions in the Space of Meromorphic Harmonic Functions

Abstract

The Geometric Theory of Analytic Functions was initially developed for the space of functions that are analytic in the unit disk. The convexity and starlikeness of functions are the first geometric ideas considered in this theory. We can notice a symmetry between the subjects considered in the space of analytic functions and those in the space of harmonic functions. In the presented paper, we consider the starlikeness of functions in the space of meromorphic harmonic functions.

Keywords

• meromorphic harmonic functions
• starlike functions
• subordination
• convolution
• correlated coefficients
• extreme points