Certain properties of normal meromorphic and normal harmonic mappings

Certain properties of normal meromorphic and normal harmonic mappings

A function (meromorphic or harmonic) from the hyperbolic disk of the complex plane to the Riemann sphere is normal if its dilatation is bounded. In this paper, normal families of meromorphic functions is studied in view of sharing values by their differential monomials. Moreover, several properties...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Monatshefte für Mathematik 2023-04, Vol.200 (4), p.719-736
Hauptverfasser: Ahamed, Molla Basir, Mandal, Sanju
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Meromorphic functions
Riemann manifold
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A function (meromorphic or harmonic) from the hyperbolic disk of the complex plane to the Riemann sphere is normal if its dilatation is bounded. In this paper, normal families of meromorphic functions is studied in view of sharing values by their differential monomials. Moreover, several properties of normal harmonic mappings are also studied in view of certain general settings.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-022-01774-2