A Method for Finding All the Zeros of f(z)

be a single-valued function which is analytic everywhere inside and on P except possibly for poles. The problem considered is tha t of finding all the zeros of f which lie in the interior of P and of determining the orders, negative as well as positive, of these zeros. Since each zero of f lies on the intersection of a u = 0 co~ltour and a v = 0 contour, this problem is really a special case of the problem of finding all solutions inside P of a system of two equations