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- Feb 21st 2010, 06:51 PMamberxinyabranch cut problem
- Feb 21st 2010, 07:25 PMdavismj
What do you have so far?

- Feb 21st 2010, 08:19 PMamberxinyare
for (i)(ii)(iii)(iv) respectively.

how about the behaviour - Feb 22nd 2010, 06:52 AMshawsend
I'll try (i) for :

You can let and then then . Now consider (i) at various points around the circle . At 1/2, and so . Now start going around that circle and show how the term changes smoothly between the values of and except when you cross the line segment between zero and one and therefore the function has a single-valued analytic component over this circle except for the line segment (branch-cut) between zero and one.