ABSTRACT

Assumptions are as follows: (i) The path of integration lies along a given path B comprising a finite chain

of R, arcs in the complex plane. Either, or both, of the endpoints a and P, say, may be at infinity. (In real-variable problems, of course, B would consist of a segment of the real axis.)

(ii) The real or complex functions J(v), +(v), Jlo(v), and Jl,(v) are continuous when v E (a, P),, save for a finite number of discontinuities and infinities.'