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 |
|