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

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 res...

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Bibliographic Details
Main Authors: Shu-Hai Li, Huo Tang, Xiao-Meng Niu
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2092-9
Description
Summary: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.
ISSN:1029-242X