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: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219045_v101_n1_p37_Suarez http://hdl.handle.net/20.500.12110/paper_00219045_v101_n1_p37_Suarez |
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paper:paper_00219045_v101_n1_p37_Suarez |
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paper:paper_00219045_v101_n1_p37_Suarez2023-06-08T14:43:04Z 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 Press. 1999 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219045_v101_n1_p37_Suarez 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) |
| 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. |
| title |
A Generalization of the Laguerre-Pólya Class of Entire Functions |
| spellingShingle |
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 |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219045_v101_n1_p37_Suarez http://hdl.handle.net/20.500.12110/paper_00219045_v101_n1_p37_Suarez |
| _version_ |
1768545911553654784 |