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Classical and quantum orthogonal polynomials in one variable

✍ 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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πŸ“œ SIMILAR VOLUMES


Classical orthogonal polynomials of a di
✍ S. K. Suslov πŸ“‚ Article πŸ“… 1987 πŸ› Springer 🌐 English βš– 413 KB

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

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✍ Y. Ben Cheikh; N. Ben Romdhane πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 235 KB

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

Classical orthogonal polynomials of a di
✍ A. F. Nikiforov; S. K. Suslov πŸ“‚ Article πŸ“… 1986 πŸ› Springer 🌐 English βš– 322 KB

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.