• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 closed form for regular superfunction expressed as a periodic function mike3 Long Time Fellow Posts: 368 Threads: 44 Joined: Sep 2009 08/31/2010, 07:34 PM (This post was last modified: 08/31/2010, 07:39 PM by mike3.) For the variable-base case, $a_n (L \log(B))^n = L \frac{B_n(\log(B), \log(B) 2! a_2, ..., \log(B) n! a_n)}{n!}$ thus $a_n L^{n-1} \log(B)^n n! = B_n(\log(B), \log(B) 2! a_2, ..., \log(B) n! a_n)$ $a_n = \frac{B_n(\log(B), \log(B) 2! a_2, ..., \log(B) (n-1)! a_{n-1}, 0)}{(L^{n-1} \log(B)^n - \log(B)) n!}$. « 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 1,937 01/02/2020, 01:38 AM Last Post: arybnikov Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 849 09/09/2019, 10:55 PM Last Post: tommy1729 Is there a function space for tetration? Chenjesu 0 921 06/23/2019, 08:24 PM Last Post: Chenjesu Degamma function Xorter 0 1,368 10/22/2018, 11:29 AM Last Post: Xorter Periodic analytic iterations by Riemann mapping tommy1729 1 2,837 03/05/2016, 10:07 PM Last Post: tommy1729 Should tetration be a multivalued function? marraco 17 21,125 01/14/2016, 04:24 AM Last Post: marraco Introducing new special function : Lambert_t(z,r) tommy1729 2 4,532 01/10/2016, 06:14 PM Last Post: tommy1729 Natural cyclic superfunction tommy1729 3 3,915 12/08/2015, 12:09 AM Last Post: tommy1729 Tommy-Mandelbrot function tommy1729 0 2,405 04/21/2015, 01:02 PM Last Post: tommy1729 Can sexp(z) be periodic ?? tommy1729 2 4,664 01/14/2015, 01:19 PM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)