: Astronomy: Jacobi polynomial

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Jacobi polynomial

In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) P_n^(α,β)( x ) are a class of classical orthogonal polynomials. They are orthogonal with respect to the weight ( 1 − x )^α ( 1 + x )^β on the interval [ − 1 , 1 ]. The Gegenbauer polynomials, and thus also the Legendre, Zernike and Chebyshev polynomials, are special cases of the Jacobi polynomials. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Jacobi_polynomials)

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