Improved Bohr’s Inequality for Shifted Disks

Stavros Evdoridis, Saminathan Ponnusamy, Antti Rasila*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


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
Issue number1
StatePublished - Mar 2021


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


Dive into the research topics of 'Improved Bohr’s Inequality for Shifted Disks'. Together they form a unique fingerprint.

Cite this