GegenbauerC

Available

Gegenbauer (ultraspherical) polynomial C_n^lambda(x).

Forms

GegenbauerC[n, m, x]

GegenbauerC[n, x]

Verified examplesGegenbauerC[0, 2, x] → 1 GegenbauerC[2, x] → -1 + 2*x^2 GegenbauerC[3, x] → (2*(-3*x + 4*x^3))/3

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Topics

Functions For Separable Coordinate Systems - Ultraspherical Coordinates
Special Functions - Orthogonal Polynomials

Related

LegendreP ChebyshevT ChebyshevU JacobiP HermiteH Hypergeometric2F1 LaguerreL SphericalHarmonicY WignerD ZernikeR AddSides AiryAi

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