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Mittag-Leffler series for generating continuum sum?
#2
(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.
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RE: Mittag-Leffler series for generating continuum sum? - by bo198214 - 11/14/2009, 04:54 PM

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