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Bohr–Rogosinski phenomenon for analytic functions and Cesáro operators

, 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 .
I. Kayumov, D. Khammatova, S. Ponnusamy
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Two problems on random analytic functions in Fock spaces

Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2022
Let $f(z)=\sum _{n=0}^\infty a_n z^n$ be an entire function on the complex plane, and let ${\mathcal R} f(z) = \sum _{n=0}^\infty a_n X_n z^n$ be its randomization induced by a standard sequence $(X_n)_n$ of independent Bernoulli, Steinhaus, or ...
X. Fang, P. Tien
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Metric Spaces of Bounded Analytical Functions

Journal of Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makhmutov, S. A., Makhmutova, M. S.
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A Modified Analytic Function Space Feynman Integral of Functionals on Function Space

Chinese Annals of Mathematics, Series B, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, SeungJun, Chung, HyunSoo
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On the Moduli Space of Quasi-Homogeneous Functions

Bulletin of the Brazilian Mathematical Society, New Series, 2020
We relate the moduli space of analytic equivalent germs of reduced quasi-homogeneous functions at (C2,0)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
L. Câmara, M. Ruas
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Spaces of Analytic Functions

2016
We present here spaces of analytic functions \(\mathbf{A}_{\alpha,d}^{n} \subset \mathbf{S}^{n}\) as well as spaces, \(\mathbf{A}_{\alpha,d,T}^{n} \subset \mathbf{S}_{T}^{n}\), n = 1, 2, 3. In this chapter, we shall study the properties of these spaces, we shall prove in Chap. 3 that if the components of the initial condition vector u0 belong to A α, d
Frank Stenger, Don Tucker, Gerd Baumann
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