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How Can I Solve This Contour Integral with a Pole at Zero?
I want to solve this contour integral $$J(\omega)= \frac{1}{2\pi}\frac{\gamma_i\lambda^2}{(\lambda^2+(\omega_i-\Delta-\omega)^2)} $$ $$N(\omega)=\frac{1}{e^{\frac{-\omega t}{T}}-1}$$ $$\int_0^\infty J(\omega)N(\omega)$$ there are three poles I don't know how I get rid of pole on zero (pole in...- Ana2015
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- Contour integral Integral
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- Forum: Calculus and Beyond Homework Help