Inequalities for zeros of Jacobi polynomials via Obrechkoff's theorem
In this paper we obtain sharp limits for all the zeros of Jacobi polynomials. We employ Obrechkoff's theorem on generalized Descartes' rule of signs and certain elaborated connection formulae which involve Jacobi and Laguerre polynomials. © 2011 American Mathematical Society.
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | Brasil |
| Institución: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/226756 |
| Acceso en línea: | http://dx.doi.org/10.1090/S0025-5718-2011-02553-6 http://hdl.handle.net/11449/226756 |
| Access Level: | acceso abierto |
| Palabra clave: | Connection formula Jacobi polynomial Laguerre polynomial. Obrechkoff's theorem Zeros |
| Sumario: | In this paper we obtain sharp limits for all the zeros of Jacobi polynomials. We employ Obrechkoff's theorem on generalized Descartes' rule of signs and certain elaborated connection formulae which involve Jacobi and Laguerre polynomials. © 2011 American Mathematical Society. |
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