The Classical Orthogonal Polynomials

Abstract

In §2 we introduced the polynomials y _n (z) of hypergeometric type, which are solutions of

$$\sigma \left( z \right)y'' + \tau \left( z \right)y' + \lambda y = 0$$

((1))

with $\lambda = {\lambda _n} = - n\tau ' - \frac{1}{2}n\left( {n - 1} \right)\sigma ''$