- A 10 Points Suppose F Is Entire And F A 0 1 C What Can You Say About The Maxi Mum And Minimum Values Of Im F Z 1 (38.99 KiB) Viewed 37 times
(a) (10 points) Suppose f is entire and f: A(0, 1)→ C. What can you say about the maxi- mum and minimum values of Im(f(z
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(a) (10 points) Suppose f is entire and f: A(0, 1)→ C. What can you say about the maxi- mum and minimum values of Im(f(z
(a) (10 points) Suppose f is entire and f: A(0, 1)→ C. What can you say about the maxi- mum and minimum values of Im(f(z)) on A(0, 1)? Justify your answer. (Hint: Consider ef() for some ce C.) (b) (10 points) Suppose that fu+iv is analytic and f: A(0,1)→ C, and that u = v. What can you say about f(z)? Justify your answer.
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