f (z) is the branch z1 i exp (1 i)log z ( z 0, 0 argz 2) of the indicated power function, and C is the unit circle z ei (0 2) ...

To integrate the branch Z1I e ...

f (z) is the branch z1+i = exp[(1 + i)log z] (|z| > 0, 0 < argz

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f (z) is the branch
z−1+i = exp[(−1 + i)log z] (|z| > 0, 0 < argz < 2π)
of the indicated power function, and C is the unit circle z = eiθ (0 ≤ θ ≤ 2π).

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Complex Variables and Applications

ISBN: 978-0073051949

8th edition

Authors: James Brown, Ruel Churchill

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Question Posted: Jun 01, 2016 01:41 AM

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f (z) is the branch z1+i = exp[(1 + i)log z] (|z| > 0, 0 < argz

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Complex Variables and Applications

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