Bloch-Type Theorems for Harmonic Mappings

In this article, we obtain Bloch-type theorems for \((K,K')\) $(K,K^{\prime })$ -elliptic harmonic mappings defined on the open unit disk of the complex plane. We also derive Bloch-type theorems for different subclasses of harmonic mappings with a simple pole, such as \((K,K')\) $(K,K^{\prime })$ -elliptic harmonic mappings, K-quasiregular harmonic mappings and open planar harmonic mappings.