-ts) Consider the function e f (2) = (z – 2) (z – 2)? for |2 - 2| > 0. Find Laurent series expansion for |z- 2| > 0. Determine if z = 2 is a pole. If so find its order. Find Res(f, 2).
-ts) Consider the function e f (2) = (z – 2) (z – 2)? for |2 - 2| > 0. Find Laurent series expansion for |z- 2| > 0. Determine if z = 2 is a pole. If so find its order. Find Res(f, 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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Question
![ts) Consider the function
e
f (2) =
(z – 2) for |z – 2| > 0.
Find Laurent series expansion for |z - 2| > 0.
Determine if z = 2 is a pole. If so find its order.
Find Res(f, 2).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8cb30a0-4371-44f8-a6ac-7a57d10fb21b%2F8bb7e2cf-c412-4fb2-9829-39a1ea4df962%2Fsizfrg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ts) Consider the function
e
f (2) =
(z – 2) for |z – 2| > 0.
Find Laurent series expansion for |z - 2| > 0.
Determine if z = 2 is a pole. If so find its order.
Find Res(f, 2).
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