ABSTRACT

Next, if the constant B in (2.17) is nonzero, then it is evident that the region of validity of (2.04), with j= 1, cannot be extended across ph (ze'")=)x. By applying Theorem 7.2 of Chapter 1 to the function e-""~-'~rc,(z), we see from (2.17) that B vanishes if and only if (2.04) converges. Similarly for the ray ph(zel") = -)n, and also for the second solution. The proof of Theorem 2.2 is complete.