Work

Landau-type theorems for some polyharmonic mappings and log-p-harmonic mappings

Year: 2024

Type: article

Abstract: In this paper, we first establish a sharp version of Landau-type theorem of polyharmonic mappings. Then, we establish two versions of Landau-type theorems of polyharmonic mappings by applying Cauchy-inequality, which improve the corresponding theorems given in Luo et al.(Computational Methods and Function Theory, 23(2):303-325, 2023). Finally, three new Landau-type theorems of log-pharmonic mappings are established, one of which improves upon a result given in Bai et al. (Complex Analysis and Operator Theory, 13(2):321-340, 2019).

Source: Filomat

DOI: 10.2298/fil2404203f

Authors: Xiu-Lian Fu, Xi Luo

Institutions: Guangdong Polytechnic of Industry and Commerce, Jiaying University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Natural Science Foundation of Guangdong Province

Award: G7666392346