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Construct a branch f(z) for the function 2/z – 1 function with imag the lower half-plane -T < arg(z) < 0. (You may ignore any values equal to for this problem.) What is the branch cut in this case? Justify this briefly.

Construct a branch f(z) for the function 2/z – 1 function with imag the lower half-plane -T < arg(z) < 0. (You may ignore any values equal to for this problem.) What is the branch cut in this case? Justify this briefly.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Construct a branch f(z) for the function 2/z – 1 function with imag the lower half-plane -T < arg(z) < 0. (You may ignore any values equal to for this problem.) What is the branch cut in this case? Justify this briefly.
Transcribed Image Text:Construct a branch f(z) for the function 2/z – 1 function with imag the lower half-plane -T < arg(z) < 0. (You may ignore any values equal to for this problem.) What is the branch cut in this case? Justify this briefly.
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