Landau-Bloch type theorem for elliptic and quasiregular harmonic mappings
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2024
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Abstract
In 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.
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(K,K<sup>?</sup>)-elliptic mapping; Harmonic mapping; Landau-Bloch type theorem; Quasiconformal mapping; Quasiregular mapping
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