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Questions Tagged with "complex integration"

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Find $f(t)$ such that $ int_0^{2 pi} f(t + theta) ln(2 sin frac{t}{2}) dt = frac{e^{i theta}}{e^{-i theta} - a e^{i phi}} $

1 answer

Mathematics Asked 2 years ago by Jay Lemmon

Proving $frac1{2pi} int_0^{2pi} frac{R^2-r^2}{R^2-2Rrcostheta+r^2} dtheta =1$ by integrating $frac{R+z}{z(R-z)}$ without residue theorem.

4 answer

Mathematics Asked 2 years ago by Juan Esaul González Rangel

Evaluating $I=oint frac{cos(z)}{z(e^{z}-1)}dz$ along the unit circle

1 answer

Mathematics Asked 2 years ago by random name

Evaluating the integral $int^{infty}_{-infty} frac{dx}{x^4-2cos(2theta)x^2 +1}$

2 answer

Mathematics Asked 2 years ago by user793781

Find the Laurent Series expansion for $displaystyle{f(z) = ze^{1/(z-1)}}$ valid for $left|z-1right|> 0$

1 answer

Mathematics Asked 3 years ago by Ariana Tibor

Computing $int_{alpha}frac{1}{(z-a)^n(z-b)^m}dz$ using Cauchy integral formula

2 answer

Mathematics Asked 3 years ago by Vic Ryan

Using Argument principle to find roots of complex polynomial. Studying for qualifying exam

0 answer

Mathematics Asked 3 years ago by Machine Learner

Solving the Fractional Fourier Integral Transform of $e^{j omega_{0} t}$

0 answer

Mathematics Asked 3 years ago by The Dude

Show that the function $f(z)=frac{1-cos z}{z^n}$ has no anti-derivative on $mathbb Csetminus{0}$ if $n$ is an odd integer.

1 answer

Mathematics Asked 3 years ago by RIYASUDHEEN T. K

Mongo exception: connect failed on reboot

2 answer

Database Administrators Asked 3 years ago by jack jack

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