LANDAU'S THEOREM AND MARDEN CONSTANT FOR HARMONIC $\nu$-BLOCH MAPPINGS

Authors

  • Sl Chen
  • Saminathan Ponnusamy
  • Xiantao Wang

Keywords:

Harmonic mapping, harmonic $\nu$-Bloch mapping, subordination, coefficient estimate, Landau's theorem

Abstract

Our main aim is to investigate the properties of harmonic $\nu$-Bloch mappings. First, we establish coefficient estimates and a Landau's theorem for harmonic $\nu$-Bloch mappings, which are generalizations of the corresponding results in \cite{B} and \cite{HG}. Second, we obtain an improved Landau's theorem for bounded harmonic mappings. At last, we get a Marden constant for harmonic mappings.

Published

2011-10-19

Issue

Vol. 84 No. 1 (2011)

Section

Articles
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