Let f(z) = ((z – 3i)² + 9)ez- The Laurent series representation of f(z) in the domain 0 < |z – 3il < o. a) (z – 3i)? + (z – 3i) + Ln=o (in+2)t * n!) (z-31)" b) 2(z – 3i) + En=0; o 1 1 °n! (z-31)" c) 9 + 9(z – 3i) + Em- 2 + (z – 3i)" n%32 (п-2)!
Let f(z) = ((z – 3i)² + 9)ez- The Laurent series representation of f(z) in the domain 0 < |z – 3il < o. a) (z – 3i)? + (z – 3i) + Ln=o (in+2)t * n!) (z-31)" b) 2(z – 3i) + En=0; o 1 1 °n! (z-31)" c) 9 + 9(z – 3i) + Em- 2 + (z – 3i)" n%32 (п-2)!
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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![Let f(z) = ((z – 3i)² + 9)ez
The Laurent series representation of f(z) in the domain 0 < ]z – 3i| < o.
1
a) (z – 3i)2 + (z – 3i) + E-o
(n+2)!
n!) (z-3i)n
1
b) 2(z – 3i) + Ln=0n! (z-3i)"
1
00
c) 9+ 9(z – 3i) + E-2 +) (z –:
;+)(z - 31)"
100
(п-2)!
а.
O b.
О с.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa45cefd6-512f-48ca-a755-16ed28eb436a%2Fd3187723-010c-4257-bea3-0b14ef309e4c%2Fr4fjab_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f(z) = ((z – 3i)² + 9)ez
The Laurent series representation of f(z) in the domain 0 < ]z – 3i| < o.
1
a) (z – 3i)2 + (z – 3i) + E-o
(n+2)!
n!) (z-3i)n
1
b) 2(z – 3i) + Ln=0n! (z-3i)"
1
00
c) 9+ 9(z – 3i) + E-2 +) (z –:
;+)(z - 31)"
100
(п-2)!
а.
O b.
О с.
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