• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 closed form for regular superfunction expressed as a periodic function bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 09/08/2010, 06:03 AM (This post was last modified: 09/08/2010, 09:47 AM by bo198214.) (09/07/2010, 07:46 PM)tommy1729 Wrote: it only has a formal powerseries that converges at the integers but has radius 0 hence not analytic. Ya but it is analytic outside the fixed point. There is one half-iterate to the right of the fixed point and one to the left, which are different functions, i.e. no analytic continuations of each other. Both iterates have the asymptotic power series expansion at the fixed point that one gets when calculating the *formal* powerseries (which has 0 convergence radius). « Next Oldest | Next Newest »

 Messages In This Thread closed form for regular superfunction expressed as a periodic function - by sheldonison - 08/27/2010, 02:09 PM RE: regular superfunction expressed as a periodic function - by sheldonison - 08/28/2010, 08:44 PM RE: regular superfunction expressed as a periodic function - by tommy1729 - 08/28/2010, 11:21 PM RE: regular superfunction expressed as a periodic function - by sheldonison - 08/30/2010, 03:09 AM RE: regular superfunction expressed as a periodic function - by Gottfried - 08/30/2010, 09:22 AM RE: regular superfunction expressed as a periodic function - by tommy1729 - 08/30/2010, 09:41 AM RE: regular superfunction expressed as a periodic function - by tommy1729 - 08/30/2010, 09:46 AM RE: regular superfunction expressed as a periodic function - by Gottfried - 08/31/2010, 08:34 PM RE: closed form for regular superfunction expressed as a periodic function - by tommy1729 - 09/03/2010, 08:19 PM RE: closed form for regular superfunction expressed as a periodic function - by sheldonison - 09/05/2010, 05:36 AM RE: closed form for regular superfunction expressed as a periodic function - by tommy1729 - 09/05/2010, 04:45 PM RE: closed form for regular superfunction expressed as a periodic function - by sheldonison - 09/07/2010, 03:54 PM RE: closed form for regular superfunction expressed as a periodic function - by tommy1729 - 09/07/2010, 07:46 PM RE: closed form for regular superfunction expressed as a periodic function - by bo198214 - 09/08/2010, 06:03 AM RE: closed form for regular superfunction expressed as a periodic function - by tommy1729 - 09/08/2010, 06:55 PM RE: closed form for regular superfunction expressed as a periodic function - by bo198214 - 09/09/2010, 10:12 AM RE: closed form for regular superfunction expressed as a periodic function - by tommy1729 - 09/09/2010, 10:18 PM

 Possibly Related Threads... Thread Author Replies Views Last Post New mathematical object - hyperanalytic function arybnikov 4 1,042 01/02/2020, 01:38 AM Last Post: arybnikov Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 607 09/09/2019, 10:55 PM Last Post: tommy1729 Is there a function space for tetration? Chenjesu 0 661 06/23/2019, 08:24 PM Last Post: Chenjesu Degamma function Xorter 0 1,123 10/22/2018, 11:29 AM Last Post: Xorter Periodic analytic iterations by Riemann mapping tommy1729 1 2,503 03/05/2016, 10:07 PM Last Post: tommy1729 Should tetration be a multivalued function? marraco 17 18,604 01/14/2016, 04:24 AM Last Post: marraco Introducing new special function : Lambert_t(z,r) tommy1729 2 3,998 01/10/2016, 06:14 PM Last Post: tommy1729 Natural cyclic superfunction tommy1729 3 3,392 12/08/2015, 12:09 AM Last Post: tommy1729 Tommy-Mandelbrot function tommy1729 0 2,176 04/21/2015, 01:02 PM Last Post: tommy1729 Can sexp(z) be periodic ?? tommy1729 2 4,197 01/14/2015, 01:19 PM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)