pts) Consider the function f(z) = 1 (z − 1)² (z-2)* Find the Laurent series of f (z) for 0 < |z1|< 1. Find all poles and their orders. Find Residues of f (z) at all poles. Evaluate ff (2) dz, C is the circle |z| = 3. с =

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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pts) Consider the function
1
f(z) =
(z − 1)² (z − 2)
-
-
Find the Laurent series of f (z) for 0 < |z1| < 1.
Find all poles and their orders.
Find Residues of f (z) at all poles.
Evaluate ff (2) dz, C is the circle |z| = 3.
с
=
Transcribed Image Text:pts) Consider the function 1 f(z) = (z − 1)² (z − 2) - - Find the Laurent series of f (z) for 0 < |z1| < 1. Find all poles and their orders. Find Residues of f (z) at all poles. Evaluate ff (2) dz, C is the circle |z| = 3. с =
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