ABSTRACT
The reader will perceive that the essential difference of Theorem 5.1 from Theorem 3.2 is that L is no longer restricted to the right half-plane. The reader should also notice that if the region in which q(t) is holomorphic and has the expansion (5.08) includes the sector a, < ph(-t) < a,, where a , < 0 and a, > 0, and if, also, q(t) is O(eel'l) as r -, co in this sector, then by use of Theorem 3.3 the expansion (5.09) for I(z) (or its analytic continuation) is extendible to the sector -a,-+n+5 < p h z <-cx,+fn-5, where 5 >0 .
