Bivariate Krawtchouk polynomials: Inversion and connection problems with the NAVIMA algorithm

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
Author/s:
  • Area, I.
  • Godoy, E.
  • Rodal, J.
  • Ronveaux, A.
  • Zarzo Altarejos, Alejandro
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

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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

TypeCodeAcronymLeaderTitle
Government of SpainTM2012–38794–C02–01UnspecifiedUnspecifiedUnspecified
Government of SpainMTM2011–28952–C02UnspecifiedUnspecifiedUnspecified

More information

Item ID: 41417
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
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