How to solve a? (a) Find the power series expansion of the functionf(z) =(ew – 1)dw,at zo = 0, where y is a smooth curve connecting 0 to z.(b) Without writing down the expansion, find the radius of convergence of the power series expansion of1f(z)%3Dz2 – z – 6at z = i.

Answered: Image /qna-images/answer/64f707a0-99e0-4f2c-af41-b21dea5aef32.jpg

Answered: (a) Find the power series expansion of…

(a) Find the power series expansion of the function S(2) = /. (ew – 1)dw, at zo = 0, where y is a smooth curve connecting 0 to z.

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

How to solve a?

(a) Find the power series expansion of the function
f(z) =
(ew – 1)dw,
at zo = 0, where y is a smooth curve connecting 0 to z.
(b) Without writing down the expansion, find the radius of convergence of the power series expansion of
1
f(z)
%3D
z2 – z – 6
at z = i.

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