Let f(z) be the function defined by the formula1f(z) =(2-1)(x-2)²(i) Find the Laurent series of f(z) about the point z = 1 that is valid in theregion {z = C: |z − 1| > 1}.(ii) Find the Laurent series of f(2) about the point z =region { € C: 0 < | z − 2| < 1}.2 that is valid in the

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Answered: Let f(z) be the function defined by the…

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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Let f(z) be the function defined by the formula 1 f(z) = (2-1)(x-2)² (i) Find the Laurent series of f(z) about the point z = 1 that is valid in the region {z = C: |z − 1| > 1}. (ii) Find the Laurent series of f(2) about the point z = region { € C: 0 < | z − 2| < 1}. 2 that is valid in the