1.  Use Morera’s Theorem and an interchange of the order of integration to show that each of the following functions is analytic on the indicated domain:

a) 

b)

c) all z.

2.  Suppose that f(z) is an entire function that is real valued on some segment of the real axis and also real-valued on some segment of the imaginary axis.  Show that f is an even function.

(Hints:  Reflect f(z) over the imaginary axis.  Use the reflection principle to show that

and then .  Hence,)