A Generalization of the Laguerre-Pólya Class of Entire Functions
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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1999
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00219045_v101_n1_p37_Suarez https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00219045_v101_n1_p37_Suarez_oai |
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I28-R145-paper_00219045_v101_n1_p37_Suarez_oai2024-08-16 Suárez, D. 1999 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. application/pdf http://hdl.handle.net/20.500.12110/paper_00219045_v101_n1_p37_Suarez info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Approx. Theory 1999;101(1):37-48 A Generalization of the Laguerre-Pólya Class of Entire Functions info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00219045_v101_n1_p37_Suarez_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| 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 https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00219045_v101_n1_p37_Suarez_oai |
| work_keys_str_mv |
AT suarezd ageneralizationofthelaguerrepolyaclassofentirefunctions AT suarezd generalizationofthelaguerrepolyaclassofentirefunctions |
| _version_ |
1809356869934776320 |