Improved Bohr’s Inequality for Shifted Disks

Stavros Evdoridis; Saminathan Ponnusamy; Antti Rasila

doi:10.1007/s00025-020-01325-x

Improved Bohr’s Inequality for Shifted Disks

Stavros Evdoridis, Saminathan Ponnusamy, Antti Rasila^*

^*Corresponding author for this work

Mathematics with Computer Science

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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 language	English
Article number	14
Journal	Results in Mathematics
Volume	76
Issue number	1
DOIs	https://doi.org/10.1007/s00025-020-01325-x
State	Published - Mar 2021

Keywords

Bounded analytic functions
harmonic functions
locally univalent functions and Bohr radius

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10.1007/s00025-020-01325-x

Cite this

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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.",

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AB - 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.

KW - Bounded analytic functions

KW - harmonic functions

KW - locally univalent functions and Bohr radius

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Improved Bohr’s Inequality for Shifted Disks

Abstract

Keywords

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