Let f be holomorphic in a domains containing the closed unit disk D(0, 1). Let S = S (0, 1). Show that 1 f(0) + f'(0) = 2ni f(w)e" dw. w2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let f be holomorphic in a domains containing the closed unit disk D(0, 1). Let S =
S (0, 1). Show that
1
f(0) + f'(0) =
2ni
f(w)e"
dw.
w2
Transcribed Image Text:Let f be holomorphic in a domains containing the closed unit disk D(0, 1). Let S = S (0, 1). Show that 1 f(0) + f'(0) = 2ni f(w)e" dw. w2
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