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2*sinh(3^h*asinh(x/2)) is the superfunction of (...) ?
#1
I was studying the function

finding that for odd a this gives (finite) polynomials in x with integer coeffcients - thus for integer x and odd a this is integer and for rational x this is also rational. (For even a replace sinh by cosh). So this is somehow interesting.



Formally this looks like the Schroeder-function of some unknown function (with some parameter a), where also the iteration-height h is introduced:


Is this function something common in our usual, daily toolbox?
Gottfried Helms, Kassel
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Messages In This Thread
2*sinh(3^h*asinh(x/2)) is the superfunction of (...) ? - by Gottfried - 09/10/2013, 12:23 PM

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