Jacobi polynomials

In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) $P (α, β) n (x)$ are a class of classical orthogonal polynomials. They are orthogonal with respect to the weight $(1 - x)(1 + x)$ on the interval $[-1, 1]$ . The Gegenbauer polynomials, and thus also the Legendre, Zernike and Chebyshev polynomials, are special cases of the Jacobi polynomials.

单词	Jacobi polynomial
释义	Jacobi polynomial 英语百科 Jacobi polynomials In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) $P (α, β) n (x)$ are a class of classical orthogonal polynomials. They are orthogonal with respect to the weight $(1 - x)(1 + x)$ on the interval $[-1, 1]$ . The Gegenbauer polynomials, and thus also the Legendre, Zernike and Chebyshev polynomials, are special cases of the Jacobi polynomials.
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