Recurrence equations and their classical orthogonal polynomial solutions on a quadratic or q-quadratic lattice

Daniel Duviol Tcheutia

Every classical orthogonal polynomial system $p_n(x)$ satisfies a three-term recurrence relation of the type \[ p_{n+1}(x)=(A_nx+B_n)p_n(x)-C_np_{n-1}(x)~ (n=0,1,2,\ldots, p_{-1}\e…