Artículo
Suárez, D. "A Generalization of the Laguerre-Pólya Class of Entire Functions" (1999) Journal of Approximation Theory. 101(1):37-48
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | A Generalization of the Laguerre-Pólya Class of Entire Functions |
| Autor: | Suárez, D. |
| Filiación: | Departamento de Matemática, Fac. de Ciencias Exactas Y Naturales, UBA, Pab. I, Ciudad Universitaria, 1428, Nunez, Capital Federal, Argentina |
| Año: | 1999 |
| Volumen: | 101 |
| Número: | 1 |
| Página de inicio: | 37 |
| Página de fin: | 48 |
| DOI: | http://dx.doi.org/10.1006/jath.1999.3355 |
| Título revista: | Journal of Approximation Theory |
| Título revista abreviado: | J. Approx. Theory |
| ISSN: | 00219045 |
| CODEN: | JAXTA |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00219045_v101_n1_p37_Suarez.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00219045_v101_n1_p37_Suarez |
Referencias:
- Ahlfors, L.V., (1966) Complex Analysis, , New York: McGraw-Hill
- Korevaar, J., The zeros of approximating polynomials and the canonical representation of an entire function (1951) Duke Math. J., 18, pp. 573-592
- Korevaar, J., Lange, J.E., Limits of polynomials whose zeros lie in a radial set (1965) Trans. Amer. Math. Soc., 114, pp. 65-79
- Laguerre, E., Sur les fonctions du genre zéro et du genre un (1882) C. R. Acad. Sci., 98
- Pólya, G., Über Annäherung durch Polynome mit lauter reellen Wurzeln (1913) Rend. Circ. Mat. Palermo, 36, pp. 279-295
Citas:
---------- APA ----------
(1999) . A Generalization of the Laguerre-Pólya Class of Entire Functions. Journal of Approximation Theory, 101(1), 37-48.http://dx.doi.org/10.1006/jath.1999.3355
---------- CHICAGO ----------
Suárez, D. "A Generalization of the Laguerre-Pólya Class of Entire Functions" . Journal of Approximation Theory 101, no. 1 (1999) : 37-48.http://dx.doi.org/10.1006/jath.1999.3355
---------- MLA ----------
Suárez, D. "A Generalization of the Laguerre-Pólya Class of Entire Functions" . Journal of Approximation Theory, vol. 101, no. 1, 1999, pp. 37-48.http://dx.doi.org/10.1006/jath.1999.3355
---------- VANCOUVER ----------
Suárez, D. A Generalization of the Laguerre-Pólya Class of Entire Functions. J. Approx. Theory. 1999;101(1):37-48.http://dx.doi.org/10.1006/jath.1999.3355
