#3. let fiz) be analytic in a domain D and let f'(zo) #0 for Zo ED. Show that if C is a sufficiently small circle Centered at to, then 2π f'(zo) $ ds f(s)-f(zo)
#3. let fiz) be analytic in a domain D and let f'(zo) #0 for Zo ED. Show that if C is a sufficiently small circle Centered at to, then 2π f'(zo) $ ds f(s)-f(zo)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:#3. let fiz) be analytic in a domain D and let f'(20) = 0
for to ED. Show that if C is a sufficiently small carcle
Centered at to,
then
271
f'(zo)
ds
$c f(s) - fize)
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