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April 19th, 2011, 06:30 AM   #1
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non constant entire function

which is the correct answer of following problem. give proper reason in support of your answer.
(1) Let f be a non-constant entire function such that |f (z)| = 1 for every z with
|z| = 1. Then
(A) f has a zero in the open unit disc.
(B) f always has a zero outside the closed unit disc.
(C) f need not have any zero.
(D) any such f has exactly one zero in the open unit disc.
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April 20th, 2011, 09:33 AM   #2
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Re: non constant entire function

snjvsingh,

What have you tried so far?

-Ormkärr-
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