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Orthogonal Polynomials of Discrete Variable and Boundedness of Dirichlet Kernel

✍ Scribed by Josef Obermaier; Ryszard Szwarc

Publisher
Springer
Year
2006
Tongue
English
Weight
211 KB
Volume
27
Category
Article
ISSN
0176-4276

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πŸ“œ SIMILAR VOLUMES

Classical orthogonal polynomials of a di
Classical orthogonal polynomials of a discrete variable continuous orthogonality relation
✍ 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

Classical orthogonal polynomials of a di
Classical orthogonal polynomials of a discrete variable on nonuniform lattices
✍ 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.

Recurrence relations for the connection
Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable
✍ Stanislaw Lewanowicz πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 575 KB

We give explicitly recurrence relations satisfied by the connection coefficients between two families of the classical orthogonal polynomials of a discrete variable (i.e., associated with the names of Charlier, Meixner, Krawtchouk and Hahn). Also, a recurrence relation is given for the coefficients