Coefficients of univalent harmonic mappings

被引：9

作者：

Ponnusamy, Saminathan ^{[1
]}

Kaliraj, Anbareeswaran Sairam ^{[1
]}

Starkov, Victor V. ^{[2
]}

机构：

[1] Indian Stat Inst ISI, Chennai Ctr, SETS, CIT Campus, Chennai 600113, Tamil Nadu, India

[2] Petrozavodsk State Univ, 33 Lenin Str, Petrozavodsk 185910, Republic Of Kar, Russia

来源：

MONATSHEFTE FUR MATHEMATIK | 2018年 / 186卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Harmonic functions; Harmonic univalent functions; Linear invariant family; Affine invariant family; Coefficient bounds; Partial sums;

D O I：

10.1007/s00605-017-1038-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let denote the class of all functions that are sense-preserving, harmonic and univalent in the open unit disk . The coefficient conjecture for is still open even for . The aim of this paper is to show that if then and for all . Making use of these coefficient estimates, we also obtain radius of univalence of sections of univalent harmonic mappings.

引用

页码：453 / 470

页数：18

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