Geometric Properties of log-Polyharmonic Mappings

被引：0

作者：

Chen, Jiaolong ^{[1
]}

Sheng, Bin ^{[1
]}

Wang, Xiantao ^{[1
]}

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 02期

关键词：

log-polyharmonic; univalent; starlike; convex; UNIVALENT-FUNCTIONS; BIHARMONIC EQUATION; CONVEXITY; DIRECTION;

D O I：

10.1007/s00009-017-0865-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of log-polyharmonic mappings LpH together with its subclass LpH(G) in the unit disk D - {z : vertical bar z vertical bar < 1} is introduced, and several geometrical properties, such as the starlikeness, convexity and univalence are investigated. In particular, we consider the Goodman-Saff conjecture and prove that the conjecture is true in LpH(G).

引用

页数：13

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