On the univalence of certain polyharmonic mappings with bounded length distortions
摘要
The main purpose of this paper is to investigate the univalence of normalized polyharmonic mappings with bounded length distortions in the unit disk. We first establish the coefficient estimates for polyharmonic mappings with bounded length distortions. Then, 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.