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

Iván Carlos Area Carracedo , Eduardo Godoy Malvar , Jaime Rodal Vila, André Ronveaux , Alejandro Zarzo Altarejos

• 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.