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 Bell formula for iterated exponentiation bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 08/26/2007, 10:28 AM Gottfried Wrote:m=arbitrary, integer>0: $\hspace{24} T^{\tiny(m)}_s(x)= \sum_{ k_m...k_1 =0..\infty \\ k_1+k_2+...+k_m=n } x^{k_m} * \left( k_{m-1}^{k_m} \dots k_2^{k_3} k_1^{k_2} \right) * \begin{pmatrix} n \\ k_2,k_3,...,k_m \end{pmatrix} * \frac{ log(s)^n}{n!}$ (hope I didn't make an index-error). This formula can also be found in E.T.BELL ,"The iterated Exponential Integers", Annals of Mathematics (193 p539-557Are you sure Gottfried? I didnt find it in the mentioned article. « Next Oldest | Next Newest »

 Messages In This Thread Bell formula for iterated exponentiation - by bo198214 - 08/26/2007, 10:28 AM RE: Bell formula for iterated exponentiation - by Gottfried - 08/26/2007, 12:27 PM

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