Orthogonal polynomials are classes of polynomials {p_n(x)} defined over a range [a, b] that obey an orthogonality relation integral_a^b w(x) p_m(x) p_n(x) d x = δ_(m n) c_n, where w(x) is a weighting function and δ_(m n) is the Kronecker delta. If c_n = 1, then the polynomials are not only orthogonal, but orthonormal.

Charlier polynomial | Chebyshev polynomial of the first kind | Chebyshev polynomial of the second kind | Christoffel-Darboux identity | complete biorthogonal system | complete orthogonal system | Ferrers' function | Gegenbauer polynomial | Gram-Schmidt orthonormalization | Hahn polynomial | Hermite polynomial | Jack polynomial | Jacobi polynomial | Krawtchouk polynomial | Laguerre polynomial | Legendre polynomial | Meixner-Pollaczek polynomial | orthogonal functions | Pollaczek polynomial | spherical harmonic | Stieltjes-Wigert polynomial | Zernike polynomial