4. (a) (8 pty) What is the value of the integral fods for a function (z) analytic in simply-conne...
4. (a) (8 pty) What is the value of the integral fods for a function (z) analytic in simply-connected domain D (O E D) and continuously extended to the boundary of the domain? (b) (15 pts) Fddz by integrating the corresponding analytic function over the rectangular contour with the vertices -R, R, R+ir, -R+it and taking the limit as R → oo. Use that the only zero ofcosh(s) inside this contour is at :i/2 and that cosh(z i)cosh(z).
4. (a) (8 pty) What is the value of the integral fods for a function (z) analytic in simply-connected domain D (O E D) and continuously extended to the boundary of the domain? (b) (15 pts) Fddz by integrating the corresponding analytic function over the rectangular contour with the vertices -R, R, R+ir, -R+it and taking the limit as R → oo. Use that the only zero ofcosh(s) inside this contour is at :i/2 and that cosh(z i)cosh(z).