09/29/2007, 11:56 PM
I believe I have found a definition for rational hyperexponents which is totally consistent with the notion of the tetraroot.
Details here.
The computation of this function is very demanding (often exceeding the capabilities of Maple) and I am not sure whether it is even continuous, but some crude tests suggest that it is.
I will be leaving for vacations in a few days (but will have net access), and may try to calculate the values of the function \( {^{m/100}}e \) for \( m\in \{1,2,...99\} \) to get a better feel of how this function behaves.
Cheerio.
Details here.
The computation of this function is very demanding (often exceeding the capabilities of Maple) and I am not sure whether it is even continuous, but some crude tests suggest that it is.
I will be leaving for vacations in a few days (but will have net access), and may try to calculate the values of the function \( {^{m/100}}e \) for \( m\in \{1,2,...99\} \) to get a better feel of how this function behaves.
Cheerio.
