8 Jan
2015
8 Jan
'15
6:15 p.m.
Can't these be used to sum real, complex and negative powers (except -1) of sequences of integers, as with Faulhaber's formula? For "sequence lengths" that are real, negative or complex, too? All the variations of Faulhaber's formula seem to break down when the power is -1, but in just that case there's a generalization of the harmonic numbers H(n) for complex n. --Steve From: Daniel Asimov <asimov@msri.org> Thanks, Mike. That's a very nice paper! --Dan
On Jan 6, 2015, at 12:04 PM, Mike Stay<metaweta@gmail.com> wrote:
http://arxiv.org/abs/physics/9705021
On Tue, Jan 6, 2015 at 11:16 AM, Daniel Asimov<dasimov@earthlink.net> wrote:
Are there extensions of Bernoulli numbers to real (or complex) index?