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3.3 Let f(2) = 2 -2. (a) Find Laurent series valid in the region A = {z € C :1< |z[ < 2}.

3.3 Let f(2) = 2 -2. (a) Find Laurent series valid in the region A = {z € C :1< |z[ < 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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Please assist with a solution for 3.3 (a)

3.2 Find and classify zeros of z (e 1). 3.3 Let f(z) = 2. 2ー2-2" (a) Find Laurent series valid in the region A = {z € C:1<|z| < 2}. (b) Give the principal part and the analytic part of the series in (a). (c) Classify the singularity z – 0 in A above. 3.4 Find the residue of f(z) = (1 – 2*) sin(1/2).
Transcribed Image Text:3.2 Find and classify zeros of z (e 1). 3.3 Let f(z) = 2. 2ー2-2" (a) Find Laurent series valid in the region A = {z € C:1<|z| < 2}. (b) Give the principal part and the analytic part of the series in (a). (c) Classify the singularity z – 0 in A above. 3.4 Find the residue of f(z) = (1 – 2*) sin(1/2).
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