Let f(z) = ((z – 3i)² + 9)ez-3i The Laurent series representation of f (z) in the domain 0 < |z – 3i| < ∞. a) (z – 3i)² + (z – 3i) + En=o \(n+2)! n!) (z-3i)" 1 b) 2(z – 3i) + En=o] n! (z-3i)n +) (2 – 31)" 1 9. c) 9 + 9(z – 3i) + En=2 (п-2)! n!,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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8:02 PM Sun May 23
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Let f(z) = ((z – 3i)² + 9)ez-3i
The Laurent series representation of f(z) in the domain 0 < |z – 3i| < ∞.
9.
a) (z – 3i)² + (z – 3i) + En=o
00
\(n+2)!
n!) (z-3i)n
1
1
b) 2(z – 3i) + En=o;
100
n! (z-3i)n
c) 9 + 9(z – 3i) + En=2
) (z – 3i)"
\(n-2)!
n!
а.
O b.
С.
Transcribed Image Text:8:02 PM Sun May 23 * e 79% A docs.google.com Let f(z) = ((z – 3i)² + 9)ez-3i The Laurent series representation of f(z) in the domain 0 < |z – 3i| < ∞. 9. a) (z – 3i)² + (z – 3i) + En=o 00 \(n+2)! n!) (z-3i)n 1 1 b) 2(z – 3i) + En=o; 100 n! (z-3i)n c) 9 + 9(z – 3i) + En=2 ) (z – 3i)" \(n-2)! n! а. O b. С.
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