Improved Bohr’s Inequality for Shifted Disks

Stavros Evdoridis, Saminathan Ponnusamy, Antti Rasila*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number14
JournalResults in Mathematics
Volume76
Issue number1
DOIs
StatePublished - Mar 2021

Keywords

  • Bounded analytic functions
  • harmonic functions
  • locally univalent functions and Bohr radius

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