See this thread:
S.O.S. Mathematics CyberBoard :: View topic - Branches of (z-1)^a (z+1)^b
In that case, I think the branch cut is then .
I am struggling with these question about branch cuts.
The function f(z) is given by:
f(z) = [(z-1)^p][(z+1)^q]
where p and q are real constants.
The branch of this function is chosen such that
0 <= arg(z +- 1) < 2 π
Show that, if and only if p + q = integer, a branch cut is not need on the section (1, ∞) of the real axis.
Deduce where the cut is in this case.
See this thread:
S.O.S. Mathematics CyberBoard :: View topic - Branches of (z-1)^a (z+1)^b
In that case, I think the branch cut is then .