3) Give an example of a function flz) which has the following properties. Justify your answer. with terame b) A simple pole at Zo=1-3 with residure 8li-3), and an essential singularity at Z₁ = i with residue 6. c) A pole of order 4 at zo = 4; -1 with residure 5, and a simple pole at Z₁ = -i with residue. - 3/
3) Give an example of a function flz) which has the following properties. Justify your answer. with terame b) A simple pole at Zo=1-3 with residure 8li-3), and an essential singularity at Z₁ = i with residue 6. c) A pole of order 4 at zo = 4; -1 with residure 5, and a simple pole at Z₁ = -i with residue. - 3/
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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Transcribed Image Text:3) Give an example of a function f(z) which has the
following properties. Justify your answer.
with testame
b) A simple pole at Zo=1-3 with residure 8li-3), and an
essential singularity at Z₁ = i with residue 6.
c) A pole of order 4 at zo = 4; -1 with residue 5, and a simple
pole at Z₁ = ~i with residuet - ²
4
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