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Name: vale murthy
Status: N/A
Age: N/A
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Date: Around 1995

I also noticed that you could get a closed form for a = 2. Do you have any ideas what a would permit a similar thing to occur if instead of square roots we take nth roots?

Hey, that is a whole other can of worms! With nth roots you would have to solve a n'th order polynomial equation to find the fixed point and it looks like it gets an awful lot more complicated. My only idea is it is unlikely there is a closed form for any n not equal to 2.


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