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 Bispectral extensions of the Askey-Wilson polynomials


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Following the pioneering work of Duistermaat and Gr\-unbaum, we call a family $\{p n(x)\} {n=0}^{\infty}$ of polynomials bispectral, if the polynomials are simultaneously eigenfunctions of two commutative algebras of operators: one consisting of difference operators acting on the degree index $n$, and another one of operators acting on the variable

Author: Plamen Iliev

Source: https://archive.org/



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