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Bivariate Krawtchouk polynomials: Inversion and connection problems with the NAVIMA algorithm
Citation
Area, I. and Godoy, E. and Rodal, J. and Ronveaux, A. and 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.
Description
| Title: | Bivariate Krawtchouk polynomials: Inversion and connection problems with the NAVIMA algorithm |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Journal of Computational and Applied Mathematics |
| Date: | 2015 |
| ISSN: | 0377-0427 |
| Volume: | 284 |
| Subjects: | |
| Freetext Keywords: | Bivariate discrete orthogonal polynomials; Bivariate Krawtchouk polynomials; Inversion problems; Connection problems; Partial difference equations; Generalized Appell hypergeometric series |
| Faculty: | E.T.S.I. Industriales (UPM) |
| Department: | Matemática Aplicada a la Ingeniería Industrial |
| UPM's Research Group: | "TACA" consolidated research group |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
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.
Funding Projects
| Type | Code | Acronym | Leader | Title |
|---|---|---|---|---|
| Government of Spain | TM2012–38794–C02–01 | Unspecified | Unspecified | Unspecified |
| Government of Spain | MTM2011–28952–C02 | Unspecified | Unspecified | Unspecified |
More information
| Item ID: | 41417 |
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| DC Identifier: | http://oa.upm.es/41417/ |
| OAI Identifier: | oai:oa.upm.es:41417 |
| DOI: | 10.1016/j.cam.2014.11.022 |
| Official URL: | http://www.sciencedirect.com/science/article/pii/S0377042714005019 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 23 Jun 2016 18:43 |
| Last Modified: | 15 Aug 2017 22:30 |
