Landau-type Theorem and Bloch constant for elliptic harmonic mappings

Abstract

In this article, we obtain certain estimates for the Taylor coefficients of $(K,K^{\prime })$-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 $(K,K^{\prime })$-elliptic harmonic mappings.

9 pages