ABSTRACT
Substituting the sum in (5.07) and integrating termwise by use of Hankel's loop integral for the reciprocal of the Gamma function (Chapter 2, (1.12)) we immediately obtain the first n terms in (5.09). Next, from (5.08) we see that +,(t) is ~(t '"+"-" '~" 1 as t -r 0. As long as n is large enough to ensure that n+ReA is positive, we may collapse the loop integral for eu+,(t) onto the two sides of the negative real axis, to obtain
(t) dt = Ce-"~. (7) dr, (5.10)
