Bohr–Rogosinski phenomenon for analytic functions and Cesáro operators

dc.contributor.author	Kayumov I.R.
dc.contributor.author	Khammatova D.M.
dc.contributor.author	Ponnusamy S.
dc.date.accessioned	2022-02-09T20:31:20Z
dc.date.available	2022-02-09T20:31:20Z
dc.date.issued	2021
dc.identifier.issn	0022-247X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/168727
dc.description.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.
dc.relation.ispartofseries	Journal of Mathematical Analysis and Applications
dc.subject	Bohr radius
dc.subject	Bounded analytic functions
dc.subject	Cesáro operators
dc.subject	Rogosinski radius
dc.subject	Subordination
dc.subject	Univalent functions
dc.title	Bohr–Rogosinski phenomenon for analytic functions and Cesáro operators
dc.type	Article
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	496
dc.collection	Публикации сотрудников КФУ
dc.source.id	SCOPUS0022247X-2021-496-2-SID85097218996

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