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 Super-root 3 andydude Long Time Fellow Posts: 509 Threads: 44 Joined: Aug 2007 01/03/2016, 07:45 PM I made a complex plot of the third super-root. I can't seem to get it to work for complex number with negative real part, but I think it's working for positive real part, so I've attached the plot below. The branch points are where: superroot_3(0.731531897477381 + 0.293308661285157*I) == (0.657319327367223 + 0.704370182866530*I) this point corresponds to where $\frac{d}{dx}x^{x^x} = 0$, and so it's not a logarithmic singularity, it's not a singularity at all, but it looks like it creates a new branch depending on which way you travel around the branch point. These branch points are shown as black dots in the plot. « Next Oldest | Next Newest »

 Messages In This Thread Super-root 3 - by andydude - 01/03/2016, 07:45 PM RE: Super-root 3 - by andydude - 01/10/2016, 08:14 AM RE: Super-root 3 - by andydude - 01/10/2016, 05:41 PM RE: Super-root 3 - by sheldonison - 01/10/2016, 06:46 PM RE: Super-root 3 - by andydude - 01/12/2016, 05:07 AM RE: Super-root 3 - by andydude - 01/12/2016, 08:52 AM RE: Super-root 3 - by andydude - 01/12/2016, 09:10 AM RE: Super-root 3 - by andydude - 01/17/2016, 08:26 PM RE: Super-root 3 - by sheldonison - 01/18/2016, 02:40 AM RE: Super-root 3 - by andydude - 01/18/2016, 05:28 AM RE: Super-root 3 - by andydude - 01/19/2016, 03:14 AM

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