z4 + 4! = S0 zN 2n=0 z2 Use the power series e² = 1 + z + z3 + 2! En-o m to 3! compute the Laurent Series for f(z) Exp and then the residue at z = 0, Res(f;0).

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
z2
Use the power series e? = 1+ z +
z4
+
4!
z3
zn
Σn=0 to
3.
...=
2!
3!
п!
compute the Laurent Series for f (z) = Exp
and then the residue at
z = 0, Res(f; 0).
Transcribed Image Text:z2 Use the power series e? = 1+ z + z4 + 4! z3 zn Σn=0 to 3. ...= 2! 3! п! compute the Laurent Series for f (z) = Exp and then the residue at z = 0, Res(f; 0).
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