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Find all poles and its multiplicities for the given rational function f(z) = z²(z² – 2iz – 1) - a) z = 0 (with multiplicity 1), z = -i – iv2 (with multiplicity 1), z = -i + iv2 (with multiplicity 1), b) z = 0 (with multiplicity 1), z = i – iv2 (with multiplicity 1), z i+ iv2 (with multiplicity 1), c) z = 0 (with multiplicity 2), z = -i (with multiplicity 2), d) z = 0 (with multiplicity 2), z = i (with multiplicity 2),

Find all poles and its multiplicities for the given rational function f(z) = z²(z² – 2iz – 1) - a) z = 0 (with multiplicity 1), z = -i – iv2 (with multiplicity 1), z = -i + iv2 (with multiplicity 1), b) z = 0 (with multiplicity 1), z = i – iv2 (with multiplicity 1), z i+ iv2 (with multiplicity 1), c) z = 0 (with multiplicity 2), z = -i (with multiplicity 2), d) z = 0 (with multiplicity 2), z = i (with multiplicity 2),

Advanced Engineering Mathematics
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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Find all poles and its multiplicities for the given rational function f(z) = z²(z² – 2iz – 1) - a) z = 0 (with multiplicity 1), z = -i – iv2 (with multiplicity 1), z = -i + iv2 (with multiplicity 1), b) z = 0 (with multiplicity 1), z = i – iv2 (with multiplicity 1), z i + iv2 (with multiplicity 1), c) z = 0 (with multiplicity 2), z = -i (with multiplicity 2), d) z = 0 (with multiplicity 2), z = i (with multiplicity 2),
Transcribed Image Text:Find all poles and its multiplicities for the given rational function f(z) = z²(z² – 2iz – 1) - a) z = 0 (with multiplicity 1), z = -i – iv2 (with multiplicity 1), z = -i + iv2 (with multiplicity 1), b) z = 0 (with multiplicity 1), z = i – iv2 (with multiplicity 1), z i + iv2 (with multiplicity 1), c) z = 0 (with multiplicity 2), z = -i (with multiplicity 2), d) z = 0 (with multiplicity 2), z = i (with multiplicity 2),
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