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...
| Main Authors: | , , |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2010.
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| Series: | Springer Monographs in Mathematics,
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| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- 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.
