Monic Bivariate Polynomials on Quadratic and q-Quadratic Lattices

被引：0
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作者：
I. Area
Y. Guemo Tefo
机构：
[1] Departamento de Matemática Aplicada II,CITMAga. Universidade de Vigo
[2] University of Yaounde I,Department of Mathematics, Faculty of Science
来源：
Mediterranean Journal of Mathematics | 2022年 / 19卷
关键词：
Bivariate Askey–Wilson polynomials; monic bivariate Askey–Wilson polynomials; bivariate Racah polynomials; monic bivariate Racah polynomials; partial divided-difference equation; partial difference equation; nonuniform lattice; quadratic lattice; -quadratic lattice; Primary 33D50; 33D45; Secondary 33C45; 33E30;
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摘要：
Monic families of bivariate Askey–Wilson polynomials and q-Racah polynomials are explicitly given. Monic families of bivariate orthogonal polynomials, both in quadratic and q-quadratic lattices, are also explicitly given using appropriate limit relations.
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