Connection and linearization coefficients of the Askey–Wilson polynomials
✍ Scribed by Foupouagnigni, M.; Koepf, W.; Tcheutia, D.D.
- Book ID
- 120469030
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 351 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0747-7171
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📜 SIMILAR VOLUMES
We consider the problem of finding closed analytical formulas for both the linearization and connection coefficients for hypergeometric-type polynomials, directly in terms of the corresponding differential equations. We illustrate the method by producing explicit formulas for Hermite polynomials. (~
We consider the problem of finding explicit formulas, recurrence relations and sign properties for both connection and linearization coefficients for generalized Hermite polynomials. Most of the computations are carried out by the computer algebra system Maple using appropriate algorithms.
Originally Presented As Lectures, The Theme Of This Volume Is That One Studies Orthogonal Polynomials And Special Functions Not For Their Own Sake, But To Be Able To Use Them To Solve Problems. The Author Presents Problems Suggested By The Isometric Embedding Of Projective Spaces In Other Projective