Some Conjectures on Wronskian and Casorati Determinants of Orthogonal Polynomials
In this paper, we conjecture some regularity properties for the zeros of Wronskian and Casorati determinants whose entries are orthogonal polynomials. These determinants are formed by choosing orthogonal polynomials whose degrees run on a finite set of nonnegative integers. The case in which such a...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad de La Rioja (UR) |
| Repositorio: | RIUR. Repositorio Institucional de la Universidad de La Rioja |
| OAI Identifier: | oai:portal.dialnet.es:doc/5bbc6997b750603269e81e06 |
| Acceso en línea: | https://investigacion.unirioja.es/documentos/5bbc6997b750603269e81e06 |
| Access Level: | acceso abierto |
| Palabra clave: | Casorati determinants conjectures number of zeros orthogonal polynomials Wronskian determinants |
| Sumario: | In this paper, we conjecture some regularity properties for the zeros of Wronskian and Casorati determinants whose entries are orthogonal polynomials. These determinants are formed by choosing orthogonal polynomials whose degrees run on a finite set of nonnegative integers. The case in which such a set is formed by consecutive integers was studied by Karlin and Szegö |
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