Let f(z) =1(z+4) (z − 2)³*(6.1) Calculate the Laurent expansion of f about the point z = 2 in the region 0 < |z − 2| < 6.Provide four non-zero terms.(6.2) Calculate the Laurent expansion of f about the point z = 2 in the region 6 < |z − 2| < ∞.Provide four non-zero terms.

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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(2)= (z+4)(z − 2)³* (6.1) Calculate the Laurent expansion of f about the point z = 2 in the region 0 < |z − 2| < 6. Provide four non-zero terms. (6.2) Calculate the Laurent expansion of f about the point z = 2 in the region 6 < |z − 2| < ∞. Provide four non-zero terms.