A Generalization of the Laguerre-Pólya Class of Entire Functions

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Let Θ be a set of real numbers unbounded on both sides and let B be a finite set of positive integers. We characterize the entire functions that can be uniformly approximated on bounded sets by polynomials of the form ∏j∈Bpj(zj), where each pj(z) is a polynomial with zeros in Θ. © 1999 Academic Pres...

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Autor principal: Suárez, D.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 1999
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00219045_v101_n1_p37_Suarez
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_00219045_v101_n1_p37_Suarez2023-06-12T16:42:39Z A Generalization of the Laguerre-Pólya Class of Entire Functions J. Approx. Theory 1999;101(1):37-48 Suárez, D. Let Θ be a set of real numbers unbounded on both sides and let B be a finite set of positive integers. We characterize the entire functions that can be uniformly approximated on bounded sets by polynomials of the form ∏j∈Bpj(zj), where each pj(z) is a polynomial with zeros in Θ. © 1999 Academic Press. 1999 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00219045_v101_n1_p37_Suarez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
description Let Θ be a set of real numbers unbounded on both sides and let B be a finite set of positive integers. We characterize the entire functions that can be uniformly approximated on bounded sets by polynomials of the form ∏j∈Bpj(zj), where each pj(z) is a polynomial with zeros in Θ. © 1999 Academic Press.
format Artículo
Artículo
publishedVersion
author Suárez, D.
spellingShingle Suárez, D.
A Generalization of the Laguerre-Pólya Class of Entire Functions
author_facet Suárez, D.
author_sort Suárez, D.
title A Generalization of the Laguerre-Pólya Class of Entire Functions
title_short A Generalization of the Laguerre-Pólya Class of Entire Functions
title_full A Generalization of the Laguerre-Pólya Class of Entire Functions
title_fullStr A Generalization of the Laguerre-Pólya Class of Entire Functions
title_full_unstemmed A Generalization of the Laguerre-Pólya Class of Entire Functions
title_sort generalization of the laguerre-pólya class of entire functions
publishDate 1999
url http://hdl.handle.net/20.500.12110/paper_00219045_v101_n1_p37_Suarez
work_keys_str_mv AT suarezd ageneralizationofthelaguerrepolyaclassofentirefunctions
AT suarezd generalizationofthelaguerrepolyaclassofentirefunctions
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