๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the Askey-Wilson polynomials

โœ Scribed by N. M. Atakishiyev; S. K. Suslov

Publisher
Springer
Year
1992
Tongue
English
Weight
261 KB
Volume
8
Category
Article
ISSN
0176-4276

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On Some Limit Cases of Askeyโ€“Wilson Poly
On Some Limit Cases of Askeyโ€“Wilson Polynomials
โœ J.V. Stokman; T.H. Koornwinder ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 329 KB

We show that limit transitions from Askey Wilson polynomials to q-Racah, little and big q-Jacobi polynomials can be made rigorous on the level of their orthogonality measures in a suitable weak sense. This allows us to derive the orthogonality relations and norm evaluations for the q-Racah polynomia

The factorization method for the Askeyโ€“W
The factorization method for the Askeyโ€“Wilson polynomials
โœ Gaspard Bangerezako ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 136 KB

A special Infeld-Hull factorization is given for the Askey-Wilson second order q-di erence operator. It is then shown how to deduce a generalization of the corresponding Askey-Wilson polynomials.

Generalized Bochner theorem: Characteriz
Generalized Bochner theorem: Characterization of the Askeyโ€“Wilson polynomials
โœ Luc Vinet; Alexei Zhedanov ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 184 KB

Assume that there is a set of monic polynomials P n (z) satisfying the second-order difference equation where z(s), A(s), B(s), C(s) are some functions of the discrete argument s and N may be either finite or infinite. The irreducibility condition A(s -1)C(s) = 0 is assumed for all admissible value