Landau-Bloch type theorem for elliptic and $K$-quasiregular harmonic mappings
Complex Variables
2026-04-14 v2
Abstract
In this paper, we establish an improved coefficient bounds for quasiregular and elliptic harmonic mappings and using these bounds we establish Landau-Bloch type theorem for -elliptic and K-quasiregular harmonic mappings in plane. Furthermore, we prove the coefficient estimates for -quasiconformal harmonic self maps defined on the unit disk .
Keywords
Cite
@article{arxiv.2212.09021,
title = {Landau-Bloch type theorem for elliptic and $K$-quasiregular harmonic mappings},
author = {Vasudevarao Allu and Rohit Kumar},
journal= {arXiv preprint arXiv:2212.09021},
year = {2026}
}
Comments
13 pages