3.1 Find and classify singularities of 3.2 Find and classify zeros of 2*(e* – 1).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3.1 Find and classify singularities of sin(32) – 3.
3.2 Find and classify zeros of 23(e – 1).
3.3 Let f(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(2) = (1 – 2") sin(1/2).
Transcribed Image Text:3.1 Find and classify singularities of sin(32) – 3. 3.2 Find and classify zeros of 23(e – 1). 3.3 Let f(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(2) = (1 – 2") sin(1/2).
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