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Bohr–Rogosinski phenomenon for analytic functions and Cesáro operators
, Kayumov I.R., Khammatova D.M.
Published in Academic Press Inc.
2021
Volume: 496
   
Issue: 2
Abstract
There are a number of articles which deal with Bohr's phenomenon whereas only a few papers appeared in the literature on Rogosinski's radii for analytic functions defined on the unit disk |z|<1. In this article, we introduce and investigate Bohr-Rogosinski's phenomenon for analytic functions defined for |z|<1 in a general setting. In addition we discuss and derive Bohr-Rogosinski's radii for Cesáro operators on the space of bounded analytic functions. Finally, we also obtain the Bohr-Rogosinski's radius for a class of subordinations. All the results are proved to be sharp. © 2020 Elsevier Inc.
About the journal
JournalJournal of Mathematical Analysis and Applications
PublisherAcademic Press Inc.
ISSN0022247X
Open AccessNo