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 Generalized recursive operators Ivars Long Time Fellow Posts: 366 Threads: 26 Joined: Oct 2007 02/03/2008, 08:48 PM Is it possible to have analytic values y = b[s]x for x -> -oo, [s] odd integer in any of the bases? Put other way, do there ( does there) exist a base ( an algorithm to construct a base) which would lead to analytic values for all odd [s] as x-> - oo? I have a gut feeling this relates to Euler's old problem of finding sum of alternating sign terms of : 1/1^n -1/2^n+1/3^n-1/4^n+1/5^n-1/6^n+1/7^n - where n- odd integer. Well , Euler new only one hyperoperation-tetration, so he could not go above n=3 in his search. Or, may be this sum is already found? Ivars « Next Oldest | Next Newest »

 Messages In This Thread Generalized recursive operators - by Whiteknox - 11/23/2007, 06:42 AM RE: Generalized recursive operators - by bo198214 - 11/23/2007, 08:41 AM RE: Generalized recursive operators - by Whiteknox - 11/23/2007, 03:57 PM RE: Generalized recursive operators - by andydude - 11/25/2007, 01:02 AM RE: Generalized recursive operators - by andydude - 11/29/2007, 04:45 AM RE: Generalized recursive operators - by andydude - 11/29/2007, 05:55 AM RE: Generalized recursive operators - by andydude - 11/29/2007, 06:20 AM RE: Generalized recursive operators - by Gottfried - 11/29/2007, 08:14 AM RE: Generalized recursive operators - by andydude - 11/30/2007, 06:12 PM RE: Generalized recursive operators - by andydude - 11/30/2007, 09:18 PM RE: Generalized recursive operators - by bo198214 - 03/07/2008, 06:58 PM RE: Generalized recursive operators - by Ivars - 02/02/2008, 10:11 PM RE: Generalized recursive operators - by Whiteknox - 12/01/2007, 04:59 AM RE: Generalized recursive operators - by Ivars - 02/03/2008, 10:41 AM RE: Generalized recursive operators - by andydude - 02/11/2008, 09:47 PM RE: Generalized recursive operators - by Ivars - 02/14/2008, 06:05 PM RE: Generalized recursive operators - by GFR - 02/03/2008, 04:12 PM RE: Generalized recursive operators - by Ivars - 02/03/2008, 08:48 PM RE: Generalized recursive operators - by GFR - 02/06/2008, 02:44 PM RE: Generalized recursive operators - by Ivars - 02/06/2008, 02:56 PM RE: Generalized recursive operators - by Ivars - 02/06/2008, 03:43 PM RE: Generalized recursive operators - by GFR - 03/10/2008, 09:53 PM RE: Generalized recursive operators - by GFR - 03/11/2008, 10:24 AM RE: Generalized recursive operators - by bo198214 - 03/11/2008, 10:53 AM RE: Generalized recursive operators - by GFR - 03/12/2008, 12:13 AM RE: Generalized recursive operators - by GFR - 03/13/2008, 06:41 PM RE: Generalized recursive operators - by Stan - 04/04/2011, 11:52 PM

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