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Bivariate Krawtchouk polynomials: Inversion and connection problems with the NAVIMA algorithm
Cita
Area, I.; Godoy, E.; Rodal, J.; Ronveaux, A. y Zarzo Altarejos, Alejandro (2015). Bivariate Krawtchouk polynomials: Inversion and connection problems with the NAVIMA algorithm. "Journal of Computational and Applied Mathematics", v. 284 ; pp. 50-57. ISSN 0377-0427. https://doi.org/10.1016/j.cam.2014.11.022.
Descripción
| Título: | Bivariate Krawtchouk polynomials: Inversion and connection problems with the NAVIMA algorithm |
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| Autor/es: |
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| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Journal of Computational and Applied Mathematics |
| Fecha: | 2015 |
| Volumen: | 284 |
| Materias: | |
| Palabras Clave Informales: | Bivariate discrete orthogonal polynomials; Bivariate Krawtchouk polynomials; Inversion problems; Connection problems; Partial difference equations; Generalized Appell hypergeometric series |
| Escuela: | E.T.S.I. Industriales (UPM) |
| Departamento: | Matemáticas del Área Industrial |
| Grupo Investigación UPM: | "TACA" consolidated research group |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
In this paper we present a recurrent procedure to solve an inversion problem for monic bivariate Krawtchouk polynomials written in vector column form, giving its solution explicitly. As a by-product, a general connection problem between two vector column of monic bivariate Krawtchouk families is also explicitly solved. Moreover, in the non monic case and also for Krawtchouk families, several expansion formulas are given, but for polynomials written in scalar form.
Proyectos asociados
| Tipo | Código | Acrónimo | Responsable | Título |
|---|---|---|---|---|
| Gobierno de España | TM2012–38794–C02–01 | Sin especificar | Sin especificar | Sin especificar |
| Gobierno de España | MTM2011–28952–C02 | Sin especificar | Sin especificar | Sin especificar |
Más información
| ID de Registro: | 41417 |
|---|---|
| Identificador DC: | http://oa.upm.es/41417/ |
| Identificador OAI: | oai:oa.upm.es:41417 |
| Identificador DOI: | 10.1016/j.cam.2014.11.022 |
| URL Oficial: | http://www.sciencedirect.com/science/article/pii/S0377042714005019 |
| Depositado por: | Memoria Investigacion |
| Depositado el: | 23 Jun 2016 18:43 |
| Ultima Modificación: | 15 Ago 2017 22:30 |
