1 2. Expand f(2) = in a Laurent series in the region 1< |z - i| < v5. z2 + 2z

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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Do q 2 in detail with explaination

2. Expand f(z) =
1
in a Laurent series in the region 1 < |z – i| < v5.
z² + 2z
3. Find the Laurent series of f(z) = Log |
for |2| > 1.
4. Find the isolates singularities of the following fun ctions, and determine whether they are
removable, poles or essential.
Transcribed Image Text:2. Expand f(z) = 1 in a Laurent series in the region 1 < |z – i| < v5. z² + 2z 3. Find the Laurent series of f(z) = Log | for |2| > 1. 4. Find the isolates singularities of the following fun ctions, and determine whether they are removable, poles or essential.
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