Nen, For z E C\ {0} let 197 – cos(z) 7367 f(z) = -2z² e Then, 3z3 p1759 1759 19735: O f(z) has a double pole in z=D0 Res;(0) = -1/2 O f(z) has a triple pole in z = 0 O Resf(0) = 1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For z E C\ {0}let
e
f(z)%3=
2z2
- cos(z)
750 197367 041
S197367
3z3
0736
Then,
57.041516
759
O f(z) has a double pole in z = 0
O Resf(0) = -1/2
O f(z) has a triple pole in z = 0
Res(0) = 1
%3D
Transcribed Image Text:For z E C\ {0}let e f(z)%3= 2z2 - cos(z) 750 197367 041 S197367 3z3 0736 Then, 57.041516 759 O f(z) has a double pole in z = 0 O Resf(0) = -1/2 O f(z) has a triple pole in z = 0 Res(0) = 1 %3D
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