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

Journal of Inequalities and Applications

Huo Tang¹  Xiao-Meng Niu¹  Shu-Hai Li¹ 

[1] grid.443353.6, School of Mathematics and Statistics, Chifeng University, Inner Mongolia, P.R. China;

关键词: Analytic function;    p;    Extreme points;    Neighborhood;    Hadamard product;    30C45;    30C80;   

DOI  :  10.1186/s13660-019-2092-9

来源: publisher

【 摘 要 】

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.

【 授权许可】

CC BY