Landau-Bloch type theorems of certain subclasses of biharmonic mappings-Reference-Cited by-同舟云学术

Landau-Bloch type theorems of certain subclasses of biharmonic mappings

Published:2023 Issue:2 Volume:37 Page:403-416
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Luo Xi¹,Liu Ming-Sheng²,Li Ting³

Affiliation:

1. School of Mathematics, Jiaying University, Meizhou, China + School of Mathematical Sciences, South China Normal University, Guangzhou, China

2. School of Mathematical Sciences, South China Normal University, Guangzhou, China

3. School of Mathematics, Jiaying University, Meizhou, China

Abstract

In this paper, we first establish a Landau-Bloch type theorem for certain bounded and normalized biharmonic mappings F(z) = |z|21(z) + h(z), where 1(z) and h(z) are harmonic in the unit disk with |1(z)| ? M1, |h(z)| ? M2. In particular, our result is sharp when M1 = M2 = 1. Then, we establish several new versions of Landau-Bloch type theorems for certain normalized biharmonic mappings with the coefficients condition in place of |h(z)| ? M2 or |1(z)| ? M1, and obtain several sharp results.

Publisher

National Library of Serbia

Subject

General Mathematics

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