Coefficient estimates and radii problems for certain classes of polyharmonic mappings

被引：9

作者：

Chen, J. ^{[1
]}

Rasila, A. ^{[1
,2
]}

Wang, X. ^{[1
]}

机构：

[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[2] Aalto Univ, Dept Math & Syst Anal, FI-00076 Aalto, Finland

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 03期

基金：

中国国家自然科学基金; 芬兰科学院;

关键词：

30C50; 30C45; close-to-convex; convex; harmonic mapping; starlike; coefficient estimates; partial sum; polyharmonic mapping; the Fekete-Szego problem; FEKETE-SZEGO PROBLEM; SECTIONS; CONVEXITY; STARLIKENESS; THEOREM;

D O I：

10.1080/17476933.2014.936862

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give coefficient estimates for a class of close-to-convex harmonic mappings , and discuss the Fekete-Szego problem of it. We also determine a disk in which the partial sum is close-to-convex for each . Then, we introduce two classes of polyharmonic mappings and , consider the starlikeness and convexity of them and obtain coefficient estimates for them. Finally, we give a necessary condition for a mapping to be in the class .

引用

页码：354 / 371

页数：18