ABSTRACT

The corresponding residue at t = -b-j is obtained by interchanging a and b. Provided that lzl> 1, the integral along the translated path vanishes as the path

moves to infinity; this is provable by analysis similar to that of 56.2 and details are left as an exercise for the reader. The residue theorem then gives

Analytic continuation shows that the only restrictions needed now are (i) a-b is not an integer or zero; (ii) 1 ph ( - z) 1 e a.