Question
(1) Define f(z) = eº (cos(In r) - i sin(Inr)) for z = re, where r>0 and - < 0 <- (i) Skeetch the domain D of the function f(z). (ii) Prove that f(z) is analytic on D and that S′(z) = −—S(2), for all z € D.
(1) Define f(z) = eº (cos(In r) - i sin(Inr)) for z = re, where r>0 and - < 0 <- (i) Skeetch the domain D of the function f(z). (ii) Prove that f(z) is analytic on D and that S′(z) = −—S(2), for all z € D.
