how would i write $\displaystyle f(z)=\frac {(z^2 -1)^ {1 \over 2}}{z^2 + 1} $ as a series expansion?

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- Nov 30th 2009, 04:22 AMbigdoggyseries expansion
how would i write $\displaystyle f(z)=\frac {(z^2 -1)^ {1 \over 2}}{z^2 + 1} $ as a series expansion?

- Nov 30th 2009, 10:29 PMredsoxfan325
- Dec 1st 2009, 01:34 AMbigdoggy
thanks. i'm trying to find the value of the integral of that function around a circle of large radius. The function is complex and has a branch cut in the section [-1,1] of the real axis.

So I need to figure out how to express that function as a series expansion to begin with...