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Some Functions that Generalize the Askey–Wilson Polynomials

✍ Scribed by F. Alberto Grünbaum; Luc Haine

Publisher
Springer
Year
1997
Tongue
English
Weight
272 KB
Volume
184
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES

On Some Limit Cases of Askey–Wilson Poly
On Some Limit Cases of Askey–Wilson Polynomials
✍ J.V. Stokman; T.H. Koornwinder 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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

Generalized Bochner theorem: Characteriz
Generalized Bochner theorem: Characterization of the Askey–Wilson polynomials
✍ Luc Vinet; Alexei Zhedanov 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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

The factorization method for the Askey–W
The factorization method for the Askey–Wilson polynomials
✍ Gaspard Bangerezako 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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.