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