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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| Sumario: | 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. |
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