# Tagged Questions

**-5**

votes

**1**answer

75 views

### computing integral of dz/(z+1) on unit circle [on hold]

I guess it must be a simple matter in complex analysis, but I would like to compute the the following integral:
$$
\oint_C\frac{dz}{z+1}
$$
and
$$
\int_C\frac{dz}{z+1}
$$
where $C=\{z\in \mathbb{C}: ...

**1**

vote

**0**answers

150 views

### complex contour integral calculation after Möbius transformation

Good day to everyone.
In my scientific research I've got stuck with a contour integration problem.
I would like to evaluate the following integral:
$$I=\int_0^{\infty } \frac{e^{\frac{\alpha -\mathrm ...

**0**

votes

**0**answers

272 views

### Help with an irregular integral

I am looking for help with doing the following integral :
$$\frac{1}{2\pi i}\int_{1}^{\infty}\ln\left(\frac{1-e^{-2\pi i x}}{1-e^{2\pi i x}} \right )\frac{dx}{x\left(\ln x+z\right)}\;\;\;\;z\in ...

**1**

vote

**0**answers

273 views

### Residue Cancellation

I am trying to understand how to apply the residue theorem to solve
$\frac{1}{2\pi j}\int^{\gamma+j\infty}_{\gamma-j\infty}\Gamma(n-s)\Gamma(s)\Gamma(1-s) {}_1F_1(s;b;c) ...