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Concept information

mathematical physics > special function > hypergeometric function > Gegenbauer polynomial
mathematical analysis > functional analysis > special function > hypergeometric function > Gegenbauer polynomial
... > mathematical analysis > function > elementary function > polynomial > orthogonal polynomials > Gegenbauer polynomial
algebra > polynomial > orthogonal polynomials > Gegenbauer polynomial

Preferred term

Gegenbauer polynomial  

Definition(s)

  • In mathematics, Gegenbauer polynomials or ultraspherical polynomials C(α)
    n    (x) are orthogonal polynomials on the interval [−1,1] with respect to the weight function (1 − x2)α–1/2. They generalize Legendre polynomials and Chebyshev polynomials, and are special cases of Jacobi polynomials. They are named after Leopold Gegenbauer.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Gegenbauer_polynomials)

Broader concept(s)

Synonym(s)

  • ultraspherical polynomial

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-FC602064-K

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RDF/XML TURTLE JSON-LD Created 8/16/23, last modified 8/16/23