#ComplexAnalysis

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#ComplexAnalysis || #Cauchy ResidueTheorem #education #trending #share ||M Sc Mathematics, Sem 1|| Unit IV || Value For Time || Kamal Kumar
Cauchy Residue Theorem :
Let 𝒇(𝒛) be one-valued and analytic inside and on a simple closed contour 𝑪, except for a finite number of poles within 𝑪. Then
∫_𝑪  𝒇(𝒛)𝒅𝒛 = 𝟐𝝅𝐢 [Sum of residues of 𝐟(𝐳) at its poles within 𝐂].
Some Basic Examples
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