Let n >1 be an integer and f(z) = D, z€ C\{0,1}. (a) Express f(2) as a Laurent series about z = 0. In what region does this series converge? (b) Express f(2) as a Laurent series about z = 1. In what region does this series converge? %3D z" (z-1)' %3D

Let n >1 be an integer and f(z) = D, z€ C\{0,1}. (a) Express f(2) as a Laurent series about z = 0. In what region does this series converge? (b) Express f(2) as a Laurent series about z = 1. In what region does this series converge? %3D z" (z-1)' %3D

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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Question

Let n >1 be an integer and f(z) = D; z€ C\{0,1}.
(a) Express f(2) as a Laurent series about z = 0. In what region does this series converge?
(b) Express f(2) as a Laurent series about z = 1. In what region does this series converge?
%3D
z" (z-1):
%3D

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