- #1
Hill
- 733
- 573
- Homework Statement
- Consider the multifunction ##f(z) = \sqrt {z - 1} \sqrt[3] {z - i}##.
Where are the branch points and what are their orders?
- Relevant Equations
- ##e^{i \frac \theta n} = e^{i \frac {\theta + 2 \pi n} n}##
My answer: one branch point is ##1## of the order 1, another is ##i## of the order 2.
My question is, how can I be sure that these are the only branch points?
My question is, how can I be sure that these are the only branch points?