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

I. Area ^[1] ; E. Godoy ^[1] ; J. Rodal ^[1] ; A. Ronveaux ^[2] ; A. Zarzo ^[3]
1. [1] Universidade de Vigo
  
  Universidade de Vigo
  
  Vigo, España
2. [2] Université Catholique de Louvain
  
  Université Catholique de Louvain
  
  Arrondissement de Nivelles, Bélgica
3. [3] Universidad Politécnica de Madrid
  
  Universidad Politécnica de Madrid
  
  Madrid, España
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Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 284, Nº 1 (15 August 2015), 2015, págs. 50-57
Idioma: inglés
DOI: 10.1016/j.cam.2014.11.022
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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.