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only need to consider those series that are centered at the origin.) 1 f(z) = z²(1+z)² (b) What is the residue of the function at z = 0 and at z = ∞?

only need to consider those series that are centered at the origin.) 1 f(z) = z²(1+z)² (b) What is the residue of the function at z = 0 and at z = ∞?

Advanced Engineering Mathematics
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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(a) Determine the Laurent series for the f(z) function about the origin. (You need to get one series for each annular ring between singular points, but you only need to consider those series that are centered at the origin.) 1 f(z) = z²(1+z)² (b) What is the residue of the function at z = 0 and at z = ∞?
Transcribed Image Text:(a) Determine the Laurent series for the f(z) function about the origin. (You need to get one series for each annular ring between singular points, but you only need to consider those series that are centered at the origin.) 1 f(z) = z²(1+z)² (b) What is the residue of the function at z = 0 and at z = ∞?
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