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Projection formulas for orthogonal polynomials of a discrete variable

✍ Scribed by George Gasper


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
939 KB
Volume
45
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES


Local representation of functions of D v
✍ K. Helfrich πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 157 KB

Discrete normalized orthogonal polynomials ofD variables are defined by means of the orthogonal polynomials of a discrete variable introduced by Tchebychef. If a function of D variables is given by its values on a mesh, it may easily be expanded into a series of these polynomials of D variables. A t

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The recursive Lanczos method for solving the SchrΓΆdinger equation is applied to systems with dynamical symmetries and given a group theoretical formulation. An algebraic interpretation of various classical orthogonal polynomials of a discrete variable is obtained in this quantum mechanical context.

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✍ Zhong-xuan Luo; Ren-hong Wang πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 111 KB

In this paper, some important properties of orthogonal polynomials of two variables are investigated. The concepts of invariant factor for orthogonal polynomials of two variables are introduced. The presented results include Stieltjies type theorems for multivariate orthogonal polynomials and the co