Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
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.
Reply


Messages In This Thread
RE: Mittag-Leffler series for generating continuum sum? - by bo198214 - 11/14/2009, 04:54 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
Question Taylor series of i[x] Xorter 12 10,084 02/20/2018, 09:55 PM
Last Post: Xorter
  Recursive formula generating bounded hyper-operators JmsNxn 0 1,302 01/17/2017, 05:10 AM
Last Post: JmsNxn
  Taylor series of cheta Xorter 13 10,761 08/28/2016, 08:52 PM
Last Post: sheldonison
  2015 Continuum sum conjecture tommy1729 3 3,029 05/26/2015, 12:24 PM
Last Post: tommy1729
  Another way to continuum sum! JmsNxn 6 5,960 06/06/2014, 05:09 PM
Last Post: MphLee
  [integral] How to integrate a fourier series ? tommy1729 1 2,273 05/04/2014, 03:19 PM
Last Post: tommy1729
  Continuum sum = Continuum product tommy1729 1 2,393 08/22/2013, 04:01 PM
Last Post: JmsNxn
  applying continuum sum to interpolate any sequence. JmsNxn 1 2,623 08/18/2013, 08:55 PM
Last Post: tommy1729
  Powerful way to perform continuum sum JmsNxn 7 7,313 08/12/2013, 07:17 PM
Last Post: JmsNxn
  Iteration series: Series of powertowers - "T- geometric series" Gottfried 10 15,573 02/04/2012, 05:02 AM
Last Post: Kouznetsov



Users browsing this thread: 1 Guest(s)