Let z be a complex mumber and fe be any fusction. If C isa closed contour and 4 r)dz =0 dhen %3D

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.4: Zeros Of A Polynomial
Problem 31E
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Let z be a complex mumber and f(2) be any function. IfC is a closed contour and
$ 1)dz = 0 then
f is an analytic function throughout C but
not necessary on C
fis an analytic function throughout and on
None of these
it is not necessary that f is an analytic
function throughout C
Transcribed Image Text:Let z be a complex mumber and f(2) be any function. IfC is a closed contour and $ 1)dz = 0 then f is an analytic function throughout C but not necessary on C fis an analytic function throughout and on None of these it is not necessary that f is an analytic function throughout C
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