8. Show that f(z) has no singularities in the extended plane other than poles if and only if f(z) is a rational function (quotient of two polyno- mials).
8. Show that f(z) has no singularities in the extended plane other than poles if and only if f(z) is a rational function (quotient of two polyno- mials).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Question
8. Show that f(z) has no singularities in the extended plane other than
poles if and only if f(z) is a rational function (quotient of two polyno-
mials).
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