Projection formulas for orthogonal polynomials of a discrete variable
β Scribed by George Gasper
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 939 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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.
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