Using partial fractions and geometric seriesformula, find the Laurent expansion of thefollowing functions in the indicated annulus:2z – 2a)(z + 1)(z – 3)'1< [z| < 3.1b)(z – 1)(z – 2)'|지 > 2.-1, 1< ]z - i| < 00.()

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Answered: Using partial fractions and geometric…

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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Using partial fractions and geometric series formula, find the Laurent expansion of the following functions in the indicated annulus: 2z – 2 - a) (z + 1)(z – 3)' 1 < |z| < 3.