FLINT3.7.0-dev

ChebyshevT, ChebyshevU, LegendreP, JacobiP, HermiteH, LaguerreL, GegenbauerC, SphericalHarmonicY

Synopsis#include <flint/fexpr_builtin.h>
ChebyshevT
ChebyshevU
LegendreP
JacobiP
HermiteH
LaguerreL
GegenbauerC
SphericalHarmonicY

Orthogonal polynomials and related functions: Chebyshev polynomials ChebyshevT(n, x) (T_{n}\!\left(x\right)) and ChebyshevU(n, x) (U_{n}\!\left(x\right)), Legendre polynomials (and functions) LegendreP(n, x) (P_{n}\!\left(x\right)), Jacobi polynomials JacobiP(n, a, b, x), Hermite polynomials HermiteH(n, x) (H_{n}\!\left(x\right)), Laguerre polynomials LaguerreL(n, x) and LaguerreL(n, a, x), Gegenbauer polynomials GegenbauerC(n, lamda, x), and spherical harmonics SphericalHarmonicY(ell, m, theta, phi).

Cite this page

The FLINT team, “ChebyshevT, ChebyshevU, LegendreP, JacobiP, HermiteH, LaguerreL, GegenbauerC, SphericalHarmonicY (fexpr_builtin.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/fexpr_builtin/ChebyshevT.html (generated 2026-10-20).