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calculate-e-z-z-1-z-3-2-dz-with-id-the-positif-circle-z-C-z-3-2-




Question Number 28990 by abdo imad last updated on 02/Feb/18
calculate ∫_γ    (e^z /((z−1)(z+3)^2 ))dz with γ id the positif  circle γ={z∈C/ ∣z∣=(3/2)}.
$${calculate}\:\int_{\gamma} \:\:\:\frac{{e}^{{z}} }{\left({z}−\mathrm{1}\right)\left({z}+\mathrm{3}\right)^{\mathrm{2}} }{dz}\:{with}\:\gamma\:{id}\:{the}\:{positif} \\ $$$${circle}\:\gamma=\left\{{z}\in{C}/\:\mid{z}\mid=\frac{\mathrm{3}}{\mathrm{2}}\right\}. \\ $$

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