Ruscheweyh-type meromorphic harmonic functions

Abstract

Abstract In this paper, we study classes of meromorphic harmonic functions defined by Ruscheweyh derivatives. In addition to finding certain analytic criteria, we obtain radii of starlikeness and convexity, and some topological properties for the defined classes of functions. Some applications of these results are also given.

Keywords

• Meromorphic harmonic functions
• Missing coefficients
• Ruscheweyh derivatives
• Extreme points
• Subordination
• Starlike functions