Allu V.; Kumar R.2025-02-1720241http://dx.doi.org/10.1016/j.jmaa.2024.128215https://idr.iitbbs.ac.in/handle/2008/4990In this paper, we establish a coefficient bound for quasiregular and elliptic harmonic mappings and using these bounds, we establish Landau-Bloch type theorem for (K,K?)-elliptic and K-quasiregular harmonic mappings in the plane. Furthermore, we prove the coefficient estimates for K-quasiconformal harmonic self maps defined on the unit disc D. � 2024 Elsevier Inc.en(K,K^?)-elliptic mapping; Harmonic mapping; Landau-Bloch type theorem; Quasiconformal mapping; Quasiregular mappingArticle