(09/17/2009, 09:49 AM)Gottfried Wrote: ... here:
\(
\sum_{n=1}^{\infty} \frac{f^{(n-1)}(0)}{n!} {n \choose k} B_{n - k}
\)
there is the f°(n-1)(0) in the inner sum, where n is the running index
--- well, upps, or was possibly the n-1'th derivative meant??
It means derivative. \( f^{(n)}(x) \) is a standard notation for the nth derivative, while \( f^n(x) \) is iteration (except for trig functions with positive (and integer?) superscript, in which case it refers to exponentiation of the function, apparently due to historical reasons.).