Operator calculus approach to orthogonal polynomial expansions
Identifieur interne : 00BF38 ( Main/Exploration ); précédent : 00BF37; suivant : 00BF39Operator calculus approach to orthogonal polynomial expansions
Auteurs : P. Feinsilver [États-Unis] ; R. Schott [France]Source :
- Journal of Computational and Applied Mathematics [ 0377-0427 ] ; 1996.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
- Teeft :
- Algebra, Algebraic structures, Algorithm, Binomial coefficients, Calculus, Computational, Convolution family, Evolution equation, Evolution equations, Feinsilver, Fourier, Generalized fourier coefficients, Heisenberg, Heisenberg algebra, Heisenberg algebras, Hermite polynomials, Initial condition, Interpolating polynomial, Krawtchouk, Krawtchouk expansions, Krawtchouk matrices, Krawtchouk polynomials, Krawtchouk symbols, Matrix, Meixner, Meixner classes, Meixner polynomials, Operator calculus, Orthogonal, Orthogonal polynomials, Output vector, Riccati equation, Schott, Vector space.
Abstract
Abstract: Using techniques of operational calculus we show how to compute the generalized Fourier coefficients for the Meixner classes of orthogonal polynomials. In particular, Krawtchouk polynomials are discussed in detail, including an algorithm for computing Krawtchouk transforms.
Url:
DOI: 10.1016/0377-0427(95)00161-1
Affiliations:
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