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

被引：2

作者：

Li, Shu-Hai ^{[1
]}

Tang, Huo ^{[1
]}

Niu, Xiao-Meng ^{[1
]}

机构：

[1] Chifeng Univ, Sch Math & Stat, Inner Mongolia, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 1期

关键词：

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

D O I：

10.1186/s13660-019-2092-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：14

共 43 条

[41] Some properties of certain classes of p-valent functions defined by the hadamard product
Aouf, M. K.
Seoudy, T. M.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2013, 48 (06): : 297 - 309
[42] Some properties of certain classes of p-valent functions defined by the hadamard product
M. K. Aouf
T. M. Seoudy
Journal of Contemporary Mathematical Analysis, 2013, 48 : 297 - 309
[43] Explicit Proper p-Harmonic Functions on the Riemannian Symmetric Spaces SU(n)/SO(n),Sp(n)/U(n), SO(2n)/U(n), SU(2n)/Sp(n)
Gudmundsson, Sigmundur
Siffert, Anna
Sobak, Marko
JOURNAL OF GEOMETRIC ANALYSIS, 2022, 32 (05)

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