5 2 3 10 1. Let f (z) : + g(z), where g(z) is an entire function. z4 z3 z2 (a) Classify the singularity at z = 0 as a removable singularity, a pole or an essential singularity and if it is a pole, give its order. (b) What is the residue at z = 0, Res(f;0)?

5 2 3 10 1. Let f (z) : + g(z), where g(z) is an entire function. z4 z3 z2 (a) Classify the singularity at z = 0 as a removable singularity, a pole or an essential singularity and if it is a pole, give its order. (b) What is the residue at z = 0, Res(f;0)?

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

5
2
3
10
1. Let f (z) :
+ g(z), where g(z) is an entire function.
z4
z3
z2
(a) Classify the singularity at z = 0 as a removable singularity, a pole or an
essential singularity and if it is a pole, give its order.
(b) What is the residue at z = 0, Res(f;0)?

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