# Questions tagged [branch-cuts]

A branch cut is curve in the complex extending from a branch point of the function.

296 questions
Filter by
Sorted by
Tagged with
29 views

### How would yo make a branch cut to define a single-valued branch of the function log(z - 1 + i)?

The question says it all. I understand the concept of branch cuts, but I have not quite yet figured out how to find branch cuts of functions. If I am not mistaken, the branch cut of logz is πi + 2πz ...
65 views

### How to find the branch cuts of $\sqrt{g(z)}$ and the contour integral $\int_{z_1}^{z_2}d z\sqrt{g(z)}$

I need to evaluate the following integral: \begin{equation} \int_{z_1}^{z_2} d z \sqrt{g(z)}, \end{equation} where the function $g(z)$ is given by \begin{equation} g(z)=-\left(\alpha-\frac{\beta}{...
36 views

### Finding the branch of a function

I am having a really hard time understanding exactly how to determine the Riemann surface of a complex function f(z). I understand the concept: images of these complex functions are periodic, and so ...