论文标题

$ q $ -askey方案中多项式序列的离散正交性

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

论文作者

Verde-Star, Luis

论文摘要

我们获得了与$ q $ - 线性和$ q $ - Quadratic晶格相关的重量功能,这些晶格在Askey-Wilson多项式和Q-ASKEY方案中的所有多项式序列方面产生了离散正交性,除了连续$ Q $ $ -HERMENOMIAMIAMIAMIAMIAMIAMIAMIAMILAMIAMILAMIAMIAMIAMILAMIAMILAMIAMIAMIALS中,

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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