I haven't looked at this issue, but perhaps the algorithm of Dingle and
Fateman ("Branch Cuts in Computer Algebra") may be helpful for detecting
removable branch cuts.

Thanks,

Jiahao Chen
Staff Research Scientist
MIT Computer Science and Artificial Intelligence Laboratory

On Thu, Feb 12, 2015 at 10:05 PM, Sheehan Olver <[email protected]>
wrote:

>
> For z < -1 the branch cuts cancel and the function should be equivalent to
> -sqrt(z^2-1)  (the only non-removeable branch cut is along [-1,1]), but in
> Julia it is not defined.  I'm wondering if there is a special function in
> Julia that can take care of this, or is the only solution to write my own
> (with special handlers for Arrays, etc.)?
>
>
>
>

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