Classical and quantum orthogonal polynomials in one variable
β Scribed by Mourad Ismail; J. J. Foncannon; Osmo Pekonen
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 814 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0343-6993
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π SIMILAR VOLUMES
Based on the general theory, we consider the continuous orthogonality property for classical polynomials of a discrete variable on nonuniform lattices. ## I. Introduction. Preliminary Notions and Notations Classical orthogonal polynomials (Jacobi, Laguerre and Hermite) are the simplest solutions
The d-symmetric classical d-orthogonal polynomials are an extension of the standard symmetric classical polynomials according to the Hahn property. In this work, we give some characteristic properties for these polynomials related to generating functions and recurrence-differential equations. As app
A general theory of classical orthogonal polynomials of a discrete variable on nonuniform lattices is developed. The classification of the polynomials under consideration is given.