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arXiv · 2210.13731

Discrete orthogonality of the polynomial sequences in the $q$-Askey scheme

Luis Verde-Star
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Abstract

We obtain weight functions associated with $q$-linear and $q$-quadratic lattices that yield discrete orthogonality with respect to a quasi-definite moment functional for the Askey-Wilson polynomials and all the polynomial sequences in the q-Askey scheme, with the exception of the continuous $q$-Hermite polynomials.

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Luis Verde-Star. 2022-10-25. Discrete orthogonality of the polynomial sequences in the $q$-Askey scheme. https://arxiv.org/abs/2210.13731

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