Landau-Type Theorems for Some Polyharmonic Mappings and log-p-Harmonic Mappings

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-p-harmonic 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).