Distortion and covering theorems of pluriharmonic mappings

Article Type

Research Article

Publication Title

Filomat

Abstract

The linear-invariant families of analytic functions make it possible to obtain well-known results to broader classes of functions, and are often helpful in obtaining simpler proofs along with new results. Based on this classical approach due to Pommerenke, properties (such as bounds for the derivative, covering and distortion) of a corresponding class of locally quasiconformal and planar harmonic mappings are established by Starkov. Motivated by these works, in this paper, we mainly investigate distortion and covering theorems on some classes of pluriharmonic mappings.

First Page

2749

Last Page

2762

DOI

10.2298/FIL1709749C

Publication Date

1-1-2017

Comments

Open Access, Bronze, Green

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