Problem 4 1 Let f (z) = Let C be the circle |2| = īn the counter-clockwise direction. What is 2ri f (z) de Let f (2) = Part (a) Find the Taylor series expansion centered at z = Oin the domain |2| < 3What's the coefficient of z³? Write –100if there is no Taylor series expansion. Part (b) Find the Laurent series expansion centered at z = Oin the domain |z| < 1What's the coefficient of z-1? Write –100if there is no Laurent series expansion.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem 4
1
Let f (2) = Let C be the circle |2| = īn the counter-clockwise direction. What is
2ni Jef (2) đe
Let f (2) =
Part (a)
Find the Taylor series expansion centered at z= Oin the domain |z| < 3What's the coefficient of z°? Write 100if there is no Taylor series expansion.
Part (b)
Find the Laurent series expansion centered at z = Oin the domain |z| < 1What's the coefficient of z-? Write –100if there is no Laurent series
expansion.
Transcribed Image Text:Problem 4 1 Let f (2) = Let C be the circle |2| = īn the counter-clockwise direction. What is 2ni Jef (2) đe Let f (2) = Part (a) Find the Taylor series expansion centered at z= Oin the domain |z| < 3What's the coefficient of z°? Write 100if there is no Taylor series expansion. Part (b) Find the Laurent series expansion centered at z = Oin the domain |z| < 1What's the coefficient of z-? Write –100if there is no Laurent series expansion.
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