sin( 4. Classify the singularity of f(z) = at z = 0 as one of {removable singularity, essential singularity, pole of order m}, and compute the residue of f at z = 0.

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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When I solved this problem I got that at z=0 there is a pole of order 4, and the residue is 0.  Just want to see if you get the same.  I computed the Laurent series expansion of f(z) to aid in my decision.

4. Classify the singularity of f(2) = n at z = 0 as one of {removable singularity,
z13
essential singularity, pole of order m}, and compute the residue of f at z = 0.
Transcribed Image Text:4. Classify the singularity of f(2) = n at z = 0 as one of {removable singularity, z13 essential singularity, pole of order m}, and compute the residue of f at z = 0.
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