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KOMPLEKSNA ANALIZA 1.zadaca

KOMPLEKSNA ANALIZA 1.zadaca

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Student: Hana Rizvić<strong>KOMPLEKSNA</strong> <strong>ANALIZA</strong>1.zadaća1. Riješite jednadžbuu skupu C.z|z| + 3z + 1 = 02. Skicirajte u Gaussovoj ravnini skup točaka za koje vrijediIm(z 2 ) < −2, z · z < 9,3. Odredite sve z ∈ C za koje vrijedisin z = i 2 .π2< argz < π.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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