Improved Bohr’s Inequality for Shifted Disks

Improved Bohr’s Inequality for Shifted Disks

In this paper, we study the Bohr phenomenon for functions that are defined on a general simply connected domain of the complex plane. We improve known results of R. Fournier and St. Ruscheweyh for a class of analytic functions. Furthermore, we examine the case where a harmonic mapping is defined in...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Resultate der Mathematik 2021-03, Vol.76 (1), Article 14
Hauptverfasser: Evdoridis, Stavros, Ponnusamy, Saminathan, Rasila, Antti
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we study the Bohr phenomenon for functions that are defined on a general simply connected domain of the complex plane. We improve known results of R. Fournier and St. Ruscheweyh for a class of analytic functions. Furthermore, we examine the case where a harmonic mapping is defined in a disk containing D and obtain a Bohr type inequality.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-020-01325-x