On the Rogosinski radius for holomorphic mappings and some of its applications

DOI10.4064/sm168-2-5zbMath1068.32001OpenAlexW2069500801MaRDI QIDQ4667526

Mark Elin, David M. Shoikhet, L. A. Ajzenberg

Publication date: 20 April 2005

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm168-2-5

zbMATH Keywords

Cauchy problemTaylor seriesholomorphic mappingsBohr radiusRogosinski radiuscomplex Banach spacesholomorphic generatorspower series extensiongeneralized complete Reinhardt domain

Mathematics Subject Classification ID

Boundary behavior of holomorphic functions of several complex variables (32A40) Power series, series of functions of several complex variables (32A05) Other generalizations of function theory of one complex variable (32A30)

Related Items (14)

The Bohr-type operator on analytic functions and sections ⋮ Bohr-Rogosinski inequalities for bounded analytic functions ⋮ Bohr and Rogosinski abscissas for ordinary Dirichlet series ⋮ Bohr phenomena for Laplace-Beltrami operators ⋮ Bohr–Rogosinski radius for a certain class of close-to-convex harmonic mappings ⋮ Bohr type inequalities for the class of self-analytic maps on the unit disk ⋮ The sharp refined Bohr–Rogosinski inequalities for certain classes of harmonic mappings ⋮ Bohr-Rogosinski-type inequalities for certain classes of functions: analytic, univalent, and convex ⋮ A generalization of the Bohr inequality and its applications ⋮ Slice starlike functions over quaternions ⋮ Bohr-Rogosinski phenomenon for analytic functions and Cesáro operators ⋮ The Bohr operator on analytic functions and sections ⋮ Remarks on the Bohr and Rogosinski phenomena for power series ⋮ Refinements of the Bohr and Rogosinski phenomena

This page was built for publication: On the Rogosinski radius for holomorphic mappings and some of its applications