Landau-Bloch type theorem for elliptic and quasiregular harmonic mappings

Landau-Bloch type theorem for elliptic and quasiregular harmonic mappings

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 h...

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Veröffentlicht in:Journal of mathematical analysis and applications 2024-07, Vol.535 (2), p.128215, Article 128215
Hauptverfasser: Allu, Vasudevarao, Kumar, Rohit
Format: Artikel
Sprache:eng
Schlagworte:
[formula omitted]-elliptic mapping
Harmonic mapping
Landau-Bloch type theorem
Quasiconformal mapping
Quasiregular mapping
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Zusammenfassung: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2024.128215