base holomorphic tetration

[mike3]

In this draft integer-iteration is always denoted by \( f^{[n]} \), while power is as usual \( f^{n} \). \( {g^m}_n \) depends only on values \( g_k \), \( k\le n \). You can take the polynomial of g truncated to n, then take the m-th power and then get the coefficient at n.

So then \( {g^m}_n \) is nth coefficient of mth power of g (truncated). I thought I also saw somethign ike \( {f_n}^m \). Note the positions of the super/subscripts are different.. would that mean the same thing or would that mean to raise the nth coefficient of f to the power m?