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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/

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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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
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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