Let f(2) = . %3D (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.
Let f(2) = . %3D (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.
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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help 3.3
![3.1 Find and classify singularities of sin3e)
3.2 Find and classify zeros of z*(e² – 1).
3.3 Let f(z) =
%3D
(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 – 26) sin(1/z).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bc36662-e81e-4805-a9ba-e756ced76ed7%2Fae5dd292-cc22-4edc-a1e8-60088e4c0f3c%2Fwkmzfrm_processed.png&w=3840&q=75)
Transcribed Image Text:3.1 Find and classify singularities of sin3e)
3.2 Find and classify zeros of z*(e² – 1).
3.3 Let f(z) =
%3D
(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 – 26) sin(1/z).
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