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(Solved): Suppose f is entire and |f^(')(z)|<=|z| for all z. Show that f(z)=a+bz^(2) with |b|<=(1)/(2). ...


Suppose f is entire and |f^(')(z)|<=|z| for all z. Show that f(z)=a+bz^(2) with |b|<=(1)/(2).


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