1. Find the Laurent =1. Find the Laurent series expansions of f(z) :centered at zo = 0 in the region (a) |z| < |a|-1(b − 2)(a − z)(b) b

The Laurent series is given as f(z)=1b-za-z 0<a<b centered at z∘=0

Answered: 1. Find the Laurent series expansions…

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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1. Find the Laurent series expansions of f(z) = centered at 20 = (b − 2)(a − z) 0 in the region (a) |z|< |a| (b) |b|≤|z| (0 < a < b) (c) |a| < |z| < |b|