Unformatted text preview: number A such that | A | > sup z ∈ ∂ D | f ( z ) the number of zeros of the function f-A is equal to the number of poles of f in D . 4. Suppose that f and g are entire functions such that f ◦ g ( x ) = x when x ∈ R . Show that f and g are linear functions. 1...
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- Spring '11
- Derivative, Holomorphic function, Entire function, holomorphic polynomial