Question

Show that if is analytic on a domain d and if the range of lies in a circle, then is constant

Answer 1

Answer:

Show that if f is analytic on a domain D and if the range of f lies in either a straight line or a circle, then f is constant. Show that if f is analytic on a domain D and if the range of f lies in either a straight line or a circle, then f is constant. ... Then g(z)=Af(z)+B is analytic, and Re g=0