Recent content by kcuf

Maybe I should clarify what's motivating this question: I'm trying to use the Christoffel-Schwarz, and the text I have been using says that the powers are computed with respect to the principal branch, however examples that I have seen online just seem to naively combine squareroots together in...

also, maybe I'm just an idiot, but I how do I get this forum to display tex?

I understand the basic definitions and ideas behind choosing branches of multivalued functions, but I still have some uncertainty when dealing with multivalued functions. As an example, if I'm in the the principal branch, when can I say that $(z-1)^\frac 1 2(z+1)^\frac 1 2= (z^2-1)^\frac 1 2$...

Ya, I just couldn't see how to connect the properties of f to reach the desired result until your hint. Thanks again for the help.

Interesting, it can't be an essential singularity because Picard's Theorem would then yield that f is not injective. Thanks for the help!

Homework Statement Let f:C-> C be an entire bijection with a never zero derivative, then f(z)=az+b for a,b\in CHomework Equations The Attempt at a Solution I'm not sure where to begin with this problem. The only ways I see to attack this are based on somehow showing that f' is bounded and then...