Landau-Bloch Theorems for Bounded Biharmonic Mappings

被引：5
作者：
Aghalary, Rasoul [1 ]
Mohammadian, Ali [1 ]
Jahangiri, Jay [2 ]
机构：
[1] Urmia Univ, Fac Sci, Dept Math, Orumiyeh, Iran
[2] Kent State Univ, Math Sci, Kent, OH 44242 USA
来源：
FILOMAT | 2019年 / 33卷 / 14期
关键词：
Landau-Bloch Theorems; Biharmonic Mappings; CONSTANTS;
D O I：
10.2298/FIL1914593A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We determine coefficient bounds for bounded planar biharmonic mappings and generalize the Landau-Bloch univalency theorems for such bounded biharmonic functions. The univalence radii presented here improve many related results published to date, including the most recent one [Complex Var. Elliptic Equ. 58(12) (2013), 1667-1676] and are sharp in some given cases.
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页码：4593 / 4601
页数：9
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