Growth of coefficients of universal Taylor series and comparison of two classes of functions
type: Item
instance of: scholarly article
title: Growth of coefficients of universal Taylor series and comparison of two classes of functions
zbMATH Open document ID: 0894.30003
DOI: 10.1007/BF02788143
published in: Journal d'Analyse Mathématique
publication date: 1998-06-14T00:00:00Z
review text: In this paper the authors study the order of growth of the coefficients of universal Taylor series and give several theorems. Let \(U\) be the class of universal Taylor series (a sub-class of the Taylor series with complex coefficients that converge within the unit disc). As consequences of the results proved, they show that the class \(U\) is disjoint from the Nevanlinna class and that no universal Taylor series is summable \((C,k)\) at any point \(z\), \(| z|=1\), for any \(k\). Relations between some other associated classes of functions are also studied.
Mathematics Subject Classification ID: 30B10
zbMATH DE Number: 1146566
zbMATH Keywords: Cesàro method \((C,k)\),
zbMATH Keywords: \(H^p\) spaces
zbMATH Keywords: universal Taylor series
zbMATH Keywords: Nevanlinna class
author: Antonios D. Melas
author: V. Nestoridis
author: I. Papadoperakis
reviewed by: Ganesh Datta Dikshit
MaRDI profile type: Publication
cites work: Q5338374
cites work: Approximation by overconvergence of a power series
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description: scientific article; zbMATH DE number 1146566