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z-1-f-z-z-a-dz-




Question Number 145274 by ArielVyny last updated on 03/Jul/21
∫_(∣z∣=1) ((f^− (z))/(z−a))dz
z∣=1f(z)zadz
Answered by Olaf_Thorendsen last updated on 03/Jul/21
f(a) = (1/(2πi))∮_γ ((f(z))/(z−a)) dz  Ω = ∫_(∣z∣=1) ((f^_ (z))/(z−a)) dz  Ω = 2πif^_ (a)
f(a)=12πiγf(z)zadzΩ=z∣=1f_(z)zadzΩ=2πif_(a)

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