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- W1698726939 abstract "We construct a commutative algebra A_z, generated by d algebraically independent q-difference operators acting on variables z_1, z_2,..., z_d, which is diagonalized by the multivariable Askey-Wilson polynomials P_n(z) considered by Gasper and Rahman [6]. Iterating Sears' transformation formula, we show that the polynomials P_n(z) possess a certain duality between z and n. Analytic continuation allows us to obtain another commutative algebra A_n, generated by d algebraically independent difference operators acting on the discrete variables n_1, n_2,..., n_d, which is also diagonalized by P_n(z). This leads to a multivariable q-Askey-scheme of bispectral orthogonal polynomials which parallels the theory of symmetric functions." @default.
- W1698726939 created "2016-06-24" @default.
- W1698726939 creator A5031777544 @default.
- W1698726939 date "2008-01-31" @default.
- W1698726939 modified "2023-09-24" @default.
- W1698726939 title "Bispectral commutative difference operators for some multivariable Askey-Wilson polynomials" @default.
- W1698726939 hasPublicationYear "2008" @default.
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