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Classical and Quantum Orthogonal Polynomials in One Variable

The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.

He defined the functions sm(u, q) and cm(u, a) as the solutions to the coupled
system s'(u) = c2(u) - as(u), c'(u) = -s2(u) + ac(u), (21.9.48) subject to the initial
conditions s(0) = 0, c(0) = 1. In this notation, s = sm, c = cm. In his doctoral
dissertation ...