Browsing by Subject "Bounded analytic functions"

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Bohr–Rogosinski phenomenon for analytic functions and Cesáro operators

Kayumov I.R.; Khammatova D.M.; Ponnusamy S. (2021)

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 ...
Bohr’s inequality for harmonic mappings and beyond

Unknown author (2018)

© 2018, Springer Nature Singapore Pte Ltd. There has been a number of problems closely connected with the classical Bohr inequality for bounded analytic functions defined on the unit disk centered at the origin. Several ...
On a powered Bohr inequality

Kayumov I.; Ponnusamy S. (2019)

© 2019 Annales Academiæ Scientiarum Fennicæ Mathematica. The object of this paper is to study the powered Bohr radius ρ p , p ∈ (1, 2), of analytic functions f(z) =Σ k=0∞ a k z k defined on the unit disk |z| < 1 and such ...
Sharp Bohr type inequality

Ismagilov A.; Kayumov I.R.; Ponnusamy S. (2020)

© 2020 Elsevier Inc. This article is devoted to the sharp improvement of the classical Bohr inequality for bounded analytic functions defined on the unit disk. We also prove two other sharp versions of the Bohr inequality ...

Now showing items 1-4 of 4

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