Hypergeometric orthogonal polynomials and their q-analogues
The very classical orthogonal polynomials named after Hermite, Laguerre and Jacobi, satisfy many common properties. For instance, they satisfy a second-order differential equation with polynomial coefficients and they can be expressed in terms of a hypergeometric function. Replacing the differential...
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| Auteurs principaux: | , , |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2010. |
| Collection: | Springer Monographs in Mathematics
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| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Hypergeometric orthogonal polynomials and their q-analogues, Roelof Koekoek, Peter A. Lesky, René F. Swarttouw, Heidelberg, Springer, 2010, 1 vol. (XIX-578 p.), Springer monographs in mathematics, 978-3-642-05013-8 • Hypergeometric Orthogonal Polynomials and Their q-Analogues, Texte imprimé, 9783642050503 • Hypergeometric orthogonal polynomials and their q-analogues, Roelof Koekoek, Peter A. Lesky, René F. Swarttouw, Heidelberg, Springer, 2010, 1 vol. (XIX-578 p.), Springer monographs in mathematics, 978-3-642-05013-8 • Hypergeometric Orthogonal Polynomials and Their q-Analogues, Texte imprimé, 9783642263514 |
Table des matières:
- Definitions and Miscellaneous Formulas Classical orthogonal polynomials Orthogonal Polynomial Solutions of Differential Equations Orthogonal Polynomial Solutions of Real Difference Equations Orthogonal Polynomial Solutions of Complex Difference Equations Orthogonal Polynomial Solutions in x(x+u) of Real Difference Equations Orthogonal Polynomial Solutions in z(z+u) of Complex Difference Equations Hypergeometric Orthogonal Polynomials Polynomial Solutions of Eigenvalue Problems Classical q-orthogonal polynomials Orthogonal Polynomial Solutions of q-Difference Equations Orthogonal Polynomial Solutions in q?x of q-Difference Equations Orthogonal Polynomial Solutions in q?x+uqx of Real