Bohr-type inequalities of analytic functions

In this paper, we investigate the Bohr-type radii for several different forms of Bohr-type inequalities of analytic functions in the unit disk, we also investigate the Bohr-type radius of the alternating series associated with the Taylor series of analytic functions. We will prove that most of the r...

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Detalles Bibliográficos
Autores principales: Liu, Ming-Sheng, Shang, Yin-Miao, Xu, Jun-Feng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6292974/
https://www.ncbi.nlm.nih.gov/pubmed/30839830
http://dx.doi.org/10.1186/s13660-018-1937-y
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author Liu, Ming-Sheng
Shang, Yin-Miao
Xu, Jun-Feng
author_facet Liu, Ming-Sheng
Shang, Yin-Miao
Xu, Jun-Feng
author_sort Liu, Ming-Sheng
collection PubMed
description In this paper, we investigate the Bohr-type radii for several different forms of Bohr-type inequalities of analytic functions in the unit disk, we also investigate the Bohr-type radius of the alternating series associated with the Taylor series of analytic functions. We will prove that most of the results are sharp.
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spelling pubmed-62929742018-12-28 Bohr-type inequalities of analytic functions Liu, Ming-Sheng Shang, Yin-Miao Xu, Jun-Feng J Inequal Appl Research In this paper, we investigate the Bohr-type radii for several different forms of Bohr-type inequalities of analytic functions in the unit disk, we also investigate the Bohr-type radius of the alternating series associated with the Taylor series of analytic functions. We will prove that most of the results are sharp. Springer International Publishing 2018-12-13 2018 /pmc/articles/PMC6292974/ /pubmed/30839830 http://dx.doi.org/10.1186/s13660-018-1937-y Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Liu, Ming-Sheng
Shang, Yin-Miao
Xu, Jun-Feng
Bohr-type inequalities of analytic functions
title Bohr-type inequalities of analytic functions
title_full Bohr-type inequalities of analytic functions
title_fullStr Bohr-type inequalities of analytic functions
title_full_unstemmed Bohr-type inequalities of analytic functions
title_short Bohr-type inequalities of analytic functions
title_sort bohr-type inequalities of analytic functions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6292974/
https://www.ncbi.nlm.nih.gov/pubmed/30839830
http://dx.doi.org/10.1186/s13660-018-1937-y
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AT shangyinmiao bohrtypeinequalitiesofanalyticfunctions
AT xujunfeng bohrtypeinequalitiesofanalyticfunctions

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