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KOMPLEKSNA ANALIZA 1.zadaca

KOMPLEKSNA ANALIZA 1.zadaca

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Student: Amira Mahmutović1. Odredite sve z ∈ C za koje vrijedi<strong>KOMPLEKSNA</strong> <strong>ANALIZA</strong>1.zadaćaIm(z 4 ) = 0 i Re(z 2 ) = 8.2. Skicirajte u Gaussovoj ravnini skup točaka za koje vrijedi|z − 2i| < 3, Re(z 2 ) ≥ 1,π4 < argz < 3π 4 .3. Odredite sve z ∈ C za koje vrijedishz = −2i.4. Odredite analitičku funkciju f ako je poznat njen realni dioi uvjet f(π) = 1 π .u(x, y) =xx 2 + y 2 ,

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