Unformatted text preview: γ (homomorphic in an open set which contains γ ). Show that Z γ f( z )f (z ) dz ,is purely imaginary. 4. Compute Z | z | = ρ | dz| |z-a | 2 ,Z | z | =ρ | dz| | z-a | 4 , assuming that | a| 6 =ρ . 5. Prove that if fis holomorphic in C and | f( z ) | < |z | n for some integer nand all sufficiently large | z| reduces to a polynomial....
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- Fall '07
- Topology, Metric space, Conic section, The Contours, Peter Koroteev