Classical Orthogonal Polynomials

In Sect. 9.1, we define what orthogonal polynomials are and study their general properties (recurrence relations, roots, Rodrigues formulas). Then in Sects. 9.2, 9.3, and 9.4 we present the so-called classical orthogonal polynomials: Jacobi, Gegenbauer, Legendre, Chebyshev, Laguerre, and Hermite polynomials. All of them are special cases of hypergeometric polynomials.