Each of the following functions has one or more isolated singularity. Identify each singularity and classify it as removable, pole, or essential. If it is a pole, find its order. Also, find the residue at each singularity. a) S(z)==' cos(!) b) g(z)= c) h(z)=- Z (2² +1)(2+1)² 2-1 Z
Each of the following functions has one or more isolated singularity. Identify each singularity and classify it as removable, pole, or essential. If it is a pole, find its order. Also, find the residue at each singularity. a) S(z)==' cos(!) b) g(z)= c) h(z)=- Z (2² +1)(2+1)² 2-1 Z
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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Transcribed Image Text:5. Each of the following functions has one or more isolated singularity. Identify each singularity and classify
it as removable, pole, or essential. If it is a pole, find its order. Also, find the residue at each singularity.
b) g(z)=
c) h(z)=-=-1
COS(+)
a) f(z)=z³ cos
Z
(z²+12+1)²
Z
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