ABSTRACT

As in the case of the hypergeometric equation, fewer restrictions are needed when formulas are expressed in terms of the solution

By means of the Weierstrass M-test, it is easily verified that for fixed z, M(a,c,z) is entire in a and entire in c; compare Chapter 5, 99.2. In contrast, M(a, c, z) is a meromorphic function of c, in general, with poles at 0, - 1, - 2, . . . .