ON THE UNIVALENCE OF CERTAIN POLYHARMONIC MAPPINGS WITH BOUNDED LENGTH DISTORTIONS  

作　　者：Xin WANG Saminathan PONNUSAMY Mingsheng LIU 汪欣;Saminathan PONNUSAMY;刘名生(Department of Mathematics,Shenzhen Polytechnic University,Shenzhen 518055,China;Department of Mathematics,Indian Institute of Technology Madras,Chennai-600036,India;School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China)

机构地区：[1]Department of Mathematics,Shenzhen Polytechnic University,Shenzhen 518055,China [2]Department of Mathematics,Indian Institute of Technology Madras,Chennai-600036,India [3]School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China

出　　处：《Acta Mathematica Scientia》2024年第6期2125-2138,共14页数学物理学报（B辑英文版）

基　　金：supported by the Natural Science Foundation of Guangdong Province(2021A1515010058);supported by the Youth Innovation Foundation of Shenzhen Polytechnic University(6024310023K)。

摘　　要：The main purpose of this paper is to investigate the univalence of normalized polyharmonic mappings with bounded length distortions in the unit disk.We first establish the coefficient estimates for polyharmonic mappings with bounded length distortions.Then,using these results,we establish five Landau-type theorems for subclasses of polyharmonic mappings F and L(F),where F has bounded length distortion and L is a differential operator.

关 键 词：harmonic mappings biharmonic mappings polyharmonic mappings coeffcients estimates Landau-type theorems 

分 类 号：O171[理学—数学]