The Bohr Phenomenon for analytic functions on simply connected domains

[2011.13890] The Bohr Phenomenon for analytic functions on simply connected domains Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Complex Variables arXiv:2011.13890 (math) [Submitted on 27 Nov 2020] Title: The Bohr Phenomenon for analytic functions on simply connected domains Authors: Molla Basir Ahamed , Vasudevarao Allu , Himadri Halder View a PDF of the paper titled The Bohr Phenomenon for analytic functions on simply connected domains, by Molla Basir Ahamed and 2 other authors View PDF HTML (experimental) Abstract: In this paper, we investigate the Bohr phenomenon for the class of analytic functions defined on the simply connected domain \begin{equation*} \Omega_{\gamma}=\bigg\{z\in\mathbb{C} : \bigg|z+\frac{\gamma}{1-\gamma}\bigg|<\frac{1}{1-\gamma}\bigg\}\;\; \text{for}\;\; 0\leq \gamma<1. \end{equation*} We study improved Bohr radius, Bohr-Rogosinski radius and refined Bohr radius for the class of analytic functions defined in $ \Omega_{\gamma} $, and obtain several sharp results. Comments: 18 pages Subjects: Complex Variables (math.CV) MSC classes: 30C45, 30C50, 30C80 Cite as: arXiv:2011.13890 [math.CV] (or arXiv:2011.13890v1 [math.CV] for this version) https://doi.org/10.48550/arXiv.2011.13890 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Annales Fennici Mathematici 47(2021), 103--120 Related DOI : https://doi.org/10.54330/afm.112561 Focus to learn more DOI(s) linking to related resources Submission history From: Himadri Halder [ view email ] [v1] Fri, 27 Nov 2020 18:27:10 UTC (25 KB) Full-text links: Access Paper: View a PDF of the paper titled The Bohr Phenomenon for analytic functions on simply connected domains, by Molla Basir Ahamed and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: math.CV < prev | next > new | recent | 2020-11 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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