ABSTRACT
These equations define Ptf(x) and Qf(s) for all combinations of v and p, except v+p = - I, - 2, - 3, .. . . Clearly, P;"(x) and Q,:'(.\-) are further solutions. Again, when the index p is zero it is customarily omitted; thus Pn(x) = Pn(x), when n is a nonnegative integer.
