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

Department of Mathematics and Systems Analysis

Research output: Contribution to journal › Article › Scientific › peer-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 language	English
Article number	14
Number of pages	15
Journal	RESULTS IN MATHEMATICS
Volume	76
Issue number	1
DOIs	https://doi.org/10.1007/s00025-020-01325-x
Publication status	Published - Mar 2021
MoE publication type	A1 Journal article-refereed

Keywords

Bounded analytic functions
harmonic functions
locally univalent functions and Bohr radius

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10.1007/s00025-020-01325-x

Parabolic flows with variational methods
Korte, R. (Principal investigator), Evdoridis, S. (Project Member), Vestberg, M. (Project Member), Buffa, V. (Project Member), Myyryläinen, K. (Project Member), Kurki, E.-K. (Project Member), Pacchiano Camacho, C. (Project Member), Takala, T. (Project Member) & Weigt, J. (Project Member)
01/09/2017 → 31/08/2021
Project: Academy of Finland: Other research funding

Cite this

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title = "Improved Bohr's Inequality for Shifted Disks",

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.",

keywords = "Bounded analytic functions, harmonic functions, locally univalent functions and Bohr radius",

author = "Stavros Evdoridis and Saminathan Ponnusamy and Antti Rasila",

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AU - Evdoridis, Stavros

AU - Ponnusamy, Saminathan

AU - Rasila, Antti

PY - 2021/3

Y1 - 2021/3

N2 - 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.

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

U2 - 10.1007/s00025-020-01325-x

DO - 10.1007/s00025-020-01325-x

M3 - Article

SN - 1422-6383

VL - 76

JO - RESULTS IN MATHEMATICS

JF - RESULTS IN MATHEMATICS

IS - 1

M1 - 14

ER -

Improved Bohr's Inequality for Shifted Disks

Abstract

Keywords

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Projects

Parabolic flows with variational methods

Cite this