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KOMPLEKSNA ANALIZA 1.zadaca

KOMPLEKSNA ANALIZA 1.zadaca

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Student: Lucija Benac1. Odredite sve z ∈ C za koje vrijedi<strong>KOMPLEKSNA</strong> <strong>ANALIZA</strong>1.zadaćaIm(z 2 ) = √ 3Re(z 2 ) Re(z 9 ) = −1.2. Skicirajte u Gaussovoj ravnini skup točaka za koje vrijedi3. Odredite sve z ∈ C za koje vrijediRez < 3Imz, z · z > 4, Re(z) ≤ 1sin z + cos z = 1 2i .4. Odredite analitičku funkciju f ako je poznat njen realni dioi uvjet f(0) = 0.u(x, y) = x 3 + 6x 2 y − 3xy 2 − 2y 3 ,

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