Problem 5 Let f (z) = Part (a) Find the Taylor series expansion centered at z = 0 in the domain |2| < 3. What's the coefficient of z3? Write –100 if there is no Taylor series expansion. Part (b) Find the Laurent series expansion centered at z = 0 in the domain |z| <1. What's the coefficient of z-1? Write –100 if 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 5
ez
Let f (2) :
Part (a)
Find the Taylor series expansion centered at z = 0 in the domain |z| < 3. What's the coefficient of z3? Write -100 if there is no Taylor series expansion.
Part (b)
Find the Laurent series expansion centered at z = 0 in the domain |2| < 1. What's the coefficient of z1? Write –100 if there is no Laurent series
expansion.
Transcribed Image Text:Problem 5 ez Let f (2) : Part (a) Find the Taylor series expansion centered at z = 0 in the domain |z| < 3. What's the coefficient of z3? Write -100 if there is no Taylor series expansion. Part (b) Find the Laurent series expansion centered at z = 0 in the domain |2| < 1. What's the coefficient of z1? Write –100 if there is no Laurent series expansion.
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