mit crcle tquipped with clocknise chdec give an txample of a f on the morphic function %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
COMPLEX VARIABLES I
y Let y be the unit circle equipped with clocknise
orientatiom. For euch dEC
n on - Constant holomorphic function fon the
ann ulus {Z EC:1/2<12)<23 Such that
give am thumple of a
%3D
Transcribed Image Text:y Let y be the unit circle equipped with clocknise orientatiom. For euch dEC n on - Constant holomorphic function fon the ann ulus {Z EC:1/2<12)<23 Such that give am thumple of a %3D
Expert Solution
Step 1

let γ be the unit circle equipped with clockwise orientation

for each λC

consider a function 

fz=λz1+z

where simple pole of the function is

1+z=0z=-1

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