Lectures on \(q\)-orthogonal polynomials (Q2760155)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Lectures on \(q\)-orthogonal polynomials |
scientific article; zbMATH DE number 1684159
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lectures on \(q\)-orthogonal polynomials |
scientific article; zbMATH DE number 1684159 |
Statements
22 October 2002
0 references
Al-Salam-Chihara polynomials
0 references
Askey-Wilson polynomilas
0 references
Lectures on \(q\)-orthogonal polynomials (English)
0 references
The author has employed a novel and significant procedure to the basic hypergeometric functions using the Askey-Wilson divided difference operators, the q-difference operator and the identity theorem for analytic functions. He derives orthogonality relations for the Askey-Wilson polynomials using an attachment procedure, Al-Salam-Chihara polynomials and the bootstrap method he developed earlier [\textit{C. Berg}, and \textit{M. E. H. Ismail}, Can. J. Math. 48, No. 1, 43-63 (1996; Zbl 0858.33015)]. The continuous q-ultraspherical and q-Hermite polynomials are analysed from a different angle. An application to the connection coefficients of the Rogers-Ramanujan identities is given.NEWLINENEWLINEFor the entire collection see [Zbl 0969.00053].
0 references
