5. Suppose f(z) is analytic inside and on CR(0) for some R>0. For |z| < R, show that f(S) 21 SCA (0) (5-3)C 2πί dc = { if x = 0, f'(0), f(z)-f(0) if ≈ 0.
5. Suppose f(z) is analytic inside and on CR(0) for some R>0. For |z| < R, show that f(S) 21 SCA (0) (5-3)C 2πί dc = { if x = 0, f'(0), f(z)-f(0) if ≈ 0.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Transcribed Image Text:5. Suppose f(z) is analytic inside and on CR(0) for some R>0. For |z| < R, show that
f(S)
21 SCA (0) (5-3)C
2πί
dc =
{
if x = 0,
f'(0),
f(z)-f(0)
if ≈ 0.
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