Use Rouche's theorem to prove that the equation z exp(a-z) = 1 where a 1 has one root exactly in the unit disk, then verify that this root is positive.
Use Rouche's theorem to prove that the equation z exp(a-z) = 1 where a 1 has one root exactly in the unit disk, then verify that this root is positive.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 29E
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