Bivariate Krawtchouk polynomials: Inversion and connection problems with the NAVIMA algorithm
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摘要
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.
论文关键词：primary,33C65,secondary,33C50,39A14,Bivariate discrete orthogonal polynomials,Bivariate Krawtchouk polynomials,Inversion problems,Connection problems,Partial difference equations,Generalized Appell hypergeometric series
论文评审过程：Received 30 July 2014, Revised 12 November 2014, Available online 10 December 2014.
论文官网地址：https://doi.org/10.1016/j.cam.2014.11.022
