11/14/2009, 04:54 PM
(11/14/2009, 09:14 AM)mike3 Wrote: http://eom.springer.de/s/s087230.htm
Apparently, it seems there is a formula that can extend a Taylor series to a whole cut complex plane, called a Mittag-Leffler star of the function.
Without doubt this is a very interesting theorem.
However I didnt yet understand how you want to apply this to Faulhaber's formula.
I mean the resulting series has 0 convergence radius, but for the Mittag-Leffler star you need a powerseries with non-zero convergence radius, at least at one point, i.e. the center of the star.