1 φ P'(z) 2πi P(z) == dz = numbers of zeroths of P(z) inside C

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Given a complex polynomial P(z) = a0 + a1z + a2z+ ... + anzn having no multiple roots (n roots which are not the same) , prove the complex integral where C is the contour for the integral.

 

1
φ
P'(z)
2πi P(z)
==
dz = numbers of zeroths of P(z) inside C
Transcribed Image Text:1 φ P'(z) 2πi P(z) == dz = numbers of zeroths of P(z) inside C
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