ON THE UNIVALENCE OF CERTAIN POLYHARMONIC MAPPINGS WITH BOUNDED LENGTH DISTORTIONS

作     者：汪欣 Saminathan PONNUSAMY 刘名生 

作者机构：Department of MathematicsShenzhen Polytechnic University Department of MathematicsIndian Institute of Technology Madras School of Mathematical SciencesSouth China Normal University 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报)

年 卷 期：2024年第44卷第6期

页      面：2125-2138页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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

主　　题：biharmonic mappings coefficients estimates harmonic mappings Landau-type theorems polyharmonic mappings 

摘      要：The main purpose of this paper is to investigate the univalence of normalized polyharmonic mappings with bounded length distortions in the unit *** first establish the coefficient estimates for polyharmonic mappings with bounded length ***,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.