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  1. Home
  2. Indian Institute of Technology Madras
  3. Publication2
  4. Bohr–Rogosinski phenomenon for analytic functions and Cesáro operators
 
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Bohr–Rogosinski phenomenon for analytic functions and Cesáro operators

Date Issued
15-04-2021
Author(s)
Kayumov, Ilgiz R.
Khammatova, Diana M.
Ponnusamy Saminathan 
Indian Institute of Technology, Madras
DOI
10.1016/j.jmaa.2020.124824
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.
Volume
496
Subjects
  • Bohr radius

  • Bounded analytic func...

  • Cesáro operators

  • Rogosinski radius

  • Subordination

  • Univalent functions

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