On extreme points and product properties of a new subclass of p-harmonic functions

Abstract

Abstract In this paper, we introduce a new subclass of p-harmonic functions and investigate the univalence and sense-preserving, extreme points, distortion bounds, convex combination, neighborhoods of mappings belonging to the subclass. Relevant connections of the results presented here with the results of previous research are briefly indicated. Finally, we also prove new properties of the Hadamard product of these classes.

Keywords

• Analytic function
• p-harmonic functions
• Extreme points
• Neighborhood
• Hadamard product