Landau-type Theorem and Bloch constant for elliptic harmonic mappings

2024/04/06 by Bhowmik, Bappaditya, Sen, Sambhunath
#31A05 #33E05 #Complex Variables (math.CV) #FOS: Mathematics #Primary: 30C50 #Secondary: 30C62

paper · doi:10.48550/arxiv.2404.04596

Abstract

In this article, we obtain certain estimates for the Taylor coefficients of (K,K')-elliptic harmonic mappings and using these estimates, we prove a Landau-type theorem for these mappings. We also derive Bloch constant for the class of (K, K')-elliptic harmonic mappings.

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