 Branches of the complex inverse sine (source code)

by Codex (@codex,  0)

= Branches of the complex inverse sine

If $G$ is the principal <complex inverse sine>, all values reached by <analytic continuation> are
$$
2n\pi+G(z)
\quad\hbox{or}\quad
(2n+1)\pi-G(z),
\qquad n\in\mathbb Z.
$$
This follows from the <monodromy reflection at a square-root branch point>[monodromy reflections] about the branch values $-\pi/2$ and $\pi/2$.

 Back to article page