I come across a problem of contour integration with 4 branch point. The problem came down to be equivalent to integrate $\sqrt{(x^2-1)^n(x^2-2)^m}$ over the imaginary axis. So, there are two branch points on each side of the imaginary axis and I can't find any countor which doesn't include branching problem inside and is easy to compute. I wonder whether there is any technique which can help me.
2026-03-25 05:11:20.1774415480
integration with 4 branch point
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