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

     

  Mostrar afiliaciones +
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 284, Nº 1 (15 August 2015), 2015, págs. 50-57
• Idioma: inglés
• Enlaces
  • Texto completo
• 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.