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Classical orthogonal polynomials of a discrete variable on nonuniform lattices

✍ Scribed by A. F. Nikiforov; S. K. Suslov


Publisher
Springer
Year
1986
Tongue
English
Weight
322 KB
Volume
11
Category
Article
ISSN
0377-9017

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✦ Synopsis


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.


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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