CAOP

Orthogonal Polynomials of Askey-Wilson scheme

The classical orthogonal polynomial families of Hermite, Laguerre and Jacobi (including those of Gegenbauer, Legendre and Chebyshev), and the classical discrete orthogonal polynomial families of Charlier, Krawtchouk, Meixner and Hahn are all members of the Askey-scheme of hypergeometric orthogonal polynomials.

This web tool uses algorithmic procedures from the book Hypergeometric Summation to compute recurrence equations and differential / difference equations for those polynomial families.