Let f(2) = 2 and let A = {z € C : 2 < |z + 1| < 3}. z² –3z+2 (a) Find Laurent series of f(z) valid in the annulus region A. (b) Classify the singularity for series in (a) in the annulus region A.
Let f(2) = 2 and let A = {z € C : 2 < |z + 1| < 3}. z² –3z+2 (a) Find Laurent series of f(z) valid in the annulus region A. (b) Classify the singularity for series in (a) in the annulus region A.
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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Question
4.2
Transcribed Image Text:4.2 Let f(z) =-3z+2
and let A = {z € C : 2 < |z+ 1| < 3}.
(a) Find Laurent series of f(z) valid in the annulus region A.
(b) Classify the singularity for series in (a) in the annulus region A.
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