On the domain of convergence of series in polynomials orthogonal with respect to general weight functions on the whole real line
type: Item
instance of: scholarly article
title: On the domain of convergence of series in polynomials orthogonal with respect to general weight functions on the whole real line
zbMATH Open document ID: 0556.30002
DOI: 10.1007/BF01950274
published in: Acta Mathematica Hungarica
publication date: 1984-01-01T00:00:00Z
review text: Für Reihen nach Polynomen, die relativ zu gewissen Gewichtsfunktionen orthonormal sind, wird die Existenz von zwei horizontalen Parallelstreifen nachgewiesen, derart daß unter einer gewissen Wachstumsbedingung für die Koeffizienten die Reihe in dem einen Streifen absolut und kompakt konvergiert, während sie außerhalb des anderen divergiert.
Mathematics Subject Classification ID: 30B50
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 42C10
zbMATH DE Number: 3886210
zbMATH Keywords: domain of convergence
author: H. N. Mhaskar
MaRDI profile type: Publication
cites work: A class of orthogonal polynomials
cites work: On estimations of the greatest zeroes of orthogonal polynomials
cites work: Contributions to the theory of Hermitian series
cites work: Q4751143
cites work: Weighted polynomial approximation of entire functions. I
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description: scientific article; zbMATH DE number 3886210