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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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).
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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