Jacobi polynomials
Polynomial sequence / From Wikipedia, the free encyclopedia
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For Jacobi polynomials of several variables, see Heckman–Opdam polynomials.
In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) are a class of classical orthogonal polynomials. They are orthogonal with respect to the weight on the interval . The Gegenbauer polynomials, and thus also the Legendre, Zernike and Chebyshev polynomials, are special cases of the Jacobi polynomials.[1]
The Jacobi polynomials were introduced by Carl Gustav Jacob Jacobi.