Concept information
Terme préférentiel
orthogonal polynomials
Définition(s)
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In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonal to each other under some inner product. The most widely used orthogonal polynomials are the classical orthogonal polynomials, consisting of the Hermite polynomials, the Laguerre polynomials and the Jacobi polynomials. The Gegenbauer polynomials form the most important class of Jacobi polynomials; they include the Chebyshev polynomials, and the Legendre polynomials as special cases.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Orthogonal_polynomials)
Concept(s) générique(s)
Concept(s) spécifique(s)
- affine q-Krawtchouk polynomial
- Askey scheme
- Askey-Wilson polynomial
- associated Legendre polynomial
- Bateman polynomial
- Bessel polynomial
- Chebyshev polynomial
- Favard's theorem
- Gegenbauer polynomial
- Hermite polynomial
- Jack function
- Jacobi polynomial
- Koornwinder polynomial
- Laguerre polynomial
- Legendre polynomial
- Macdonald polynomial
- Meixner polynomial
- multiple orthogonal polynomials
- Plancherel-Rotach asymptotics
- Rodrigues' formula
- Schur polynomial
- Zernike polynomial
Synonyme(s)
- orthogonal polynomial sequence
Traductions
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français
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suite de polynômes orthogonaux
URI
http://data.loterre.fr/ark:/67375/PSR-N2QX9K1Z-L
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