Coefficient estimates, Landau's theorem and Lipschitz-type spaces on planar harmonic mappings
Complex Variables
2014-06-18 v2
Abstract
In this paper, we investigate the properties of locally univalent and multivalent planar harmonic mappings. First, we discuss the coefficient estimates and Landau's Theorem for some classes of locally univalent harmonic mappings, and then we study some Lipschitz-type spaces for locally univalent and multivalent harmonic mappings.
Cite
@article{arxiv.1209.5162,
title = {Coefficient estimates, Landau's theorem and Lipschitz-type spaces on planar harmonic mappings},
author = {Shaolin Chen and Saminathan Ponnusamy and Antti Rasila},
journal= {arXiv preprint arXiv:1209.5162},
year = {2014}
}
Comments
17 pages