f(z) = (z2-1)1/2.
One of the branches used in the construction of the
Riemann Surface for
(z2-1)1/2. The surface
produced by this branch (shown here) must be joined
with the similar surface produced by the other
branch (which is just the negative of this one)
along the discontinuities on the branch cuts, to
produce the desired Riemann Surface.
Picture obtained using the script RiemannSur in the Athena 18.04 MatLab Toolkit.
Picture obtained using the script RiemannSur in the Athena 18.04 MatLab Toolkit.