Title of article
Bloch constant and Landauʹs theorem for planar p-harmonic mappings
Author/Authors
Chen، نويسنده , , Sh. and Ponnusamy، نويسنده , , S. and Wang، نويسنده , , X.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2011
Pages
9
From page
102
To page
110
Abstract
In this paper, our main aim is to introduce the concept of planar p-harmonic mappings and investigate the properties of these mappings. First, we discuss the p-harmonic Bloch mappings. Two estimates on the Bloch constant are obtained, which are generalizations of the main results in Colonna (1989) [9]. As a consequence of these investigations, we establish a Bloch and Landauʹs theorem for p-harmonic mappings.
Keywords
Planar harmonic mapping , Planar p-harmonic mapping , Planar p-harmonic Bloch function , Landauיs theorem and Bloch constant
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2011
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561371
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