Two-variable -1 Jacobi polynomials

作者：Genest Vincent X^*; Lemay Jean Michel; Vinet Luc; Zhedanov Alexei

来源：Integral Transforms and Special Functions, 2015, 26(6): 411-425.

DOI：10.1080/10652469.2015.1013034

• 33C50
• bivariate orthogonal polynomials
• Big -1 Jacobi polynomials

A two-variable generalization of the Big -1 Jacobi polynomials is introduced and characterized. These bivariate polynomials are constructed as a coupled product of two univariate Big -1 Jacobi polynomials. Their orthogonality measure is obtained. Their bispectral properties (eigenvalue equations and recurrence relations) are determined through a limiting process from the two-variable Big q-Jacobi polynomials of Lewanowicz and Wozny. An alternative derivation of the weight function using Pearson-type equations is presented.

• 出版日期2015-6-3