Let (2) denote the branch of the logarithm defined on C- [0, ∞) with 0 < Im(l(z)) < 2π. For the branch of zi+3 derived from 1(z), find (-i)i+3.
Let (2) denote the branch of the logarithm defined on C- [0, ∞) with 0 < Im(l(z)) < 2π. For the branch of zi+3 derived from 1(z), find (-i)i+3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Step 1: Writing down the given information
Let
We need to calculate
We will apply the principal value of the logarithm formula given by
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