Chapter 13: Special Functions
Legendre, Hermite, Laguerre and Chebyshev polynomials play an important role in mathematical physics, for example as an orthonormal basis in the Hilbert space of square integrable functions. Jacobi elliptic functions and Weierstrass elliptic functions play a role in the solution of nonlinear differential equations. The Legendre polynomials are given by the Rodrigue’s formula