Slater determinants of orthogonal polynomials
The symmetrized Slater determinants of orthogonal polynomials with respect to a non-negative Borel measure are shown to be represented by constant multiple of Hankel determinants of two other families of polynomials, and they can also be written in terms of Selberg type integrals. Applications inclu...
| Autores: | ; |
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| Tipo de documento: | Artículo |
| Estado: | Published version |
| Fecha de publicación: | 2016 |
| País: | Brasil |
| Institución: | UNESP |
| Repositorio: | Repositório Institucional da UNESP |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/161083 |
| Acceso en línea: | http://dx.doi.org/10.1016/j.jmaa.2015.11.039 http://hdl.handle.net/11449/161083 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Slater determinant Orthogonal polynomials Wronskian Laplace transform |
| Sumario: | The symmetrized Slater determinants of orthogonal polynomials with respect to a non-negative Borel measure are shown to be represented by constant multiple of Hankel determinants of two other families of polynomials, and they can also be written in terms of Selberg type integrals. Applications include positive determinants of polynomials of several variables and Jensen polynomials and its derivatives for entire functions. (C) 2015 Elsevier Inc. All rights reserved. |
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