(e) zetiz 2²+ a²
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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Transcribed Image Text:Question:
Determine the nature of the singularities
of each of the following functions
and evaluate the residues (a > 0):
(e)
zetiz
2² + a²
etiz
22-a²
(f)
zetiz
+ a²
-k
0 <k < 1.
"
(h)
2+1
Hint. For the point at infinity, use the transformation w =
1/2 for
|2| → 0. For the residue, transform f(z) dz into g(w) dw and look at
the behavior of g (w).
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