16.13. Suppose that f is of the form n S(e) = + g(2), j31 where is analytic inside and on the simple, closed, positively oriented contour y containing 0 in its interior. Show that f(2)dz = 2niA1.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
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16.13. Suppose that f is of the form
f(e) = +9(2),
j=1
where
is analytic inside and on the simple, closed, positively oriented
contour y containing 0 in its interior. Show that
| f(2)dz = 2miA1.
Y16 14 Fatohlinh
Transcribed Image Text:16.13. Suppose that f is of the form f(e) = +9(2), j=1 where is analytic inside and on the simple, closed, positively oriented contour y containing 0 in its interior. Show that | f(2)dz = 2miA1. Y16 14 Fatohlinh
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