• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Structure of the graph of the tetration function mike3 Long Time Fellow Posts: 368 Threads: 44 Joined: Sep 2009 09/18/2009, 08:31 PM I saw the graph of an extension of the tetrational function (to the base e) on the complex numbers here: http://upload.wikimedia.org/wikipedia/co...pFig1d.jpg But what is going on there near the real axis? It seems to be getting very convoluted in quite intriguing ways, and the computer appears to have been unable to plot it all there given the missing areas of graph, presumably due to huge values popping up somewhere in the computation, too big for it to handle. No "special functions" I'm aware of have this interesting behavior, so if tetration was eventually made into one it would make quite an interesting addition. « Next Oldest | Next Newest »

 Possibly Related Threads... Thread Author Replies Views Last Post Is there a function space for tetration? Chenjesu 0 189 06/23/2019, 08:24 PM Last Post: Chenjesu Degamma function Xorter 0 668 10/22/2018, 11:29 AM Last Post: Xorter Should tetration be a multivalued function? marraco 17 14,910 01/14/2016, 04:24 AM Last Post: marraco Introducing new special function : Lambert_t(z,r) tommy1729 2 3,233 01/10/2016, 06:14 PM Last Post: tommy1729 Tommy-Mandelbrot function tommy1729 0 1,773 04/21/2015, 01:02 PM Last Post: tommy1729 The inverse gamma function. tommy1729 3 7,118 05/13/2014, 02:18 PM Last Post: JmsNxn entire function close to sexp ?? tommy1729 8 8,672 04/30/2014, 03:49 PM Last Post: JmsNxn Problem with infinite product of a function: exp(x) = x * f(x)*f(f(x))*... Gottfried 5 6,355 07/17/2013, 09:46 AM Last Post: Gottfried Proof Ackermann function extended to reals cannot be commutative/associative JmsNxn 1 2,831 06/15/2013, 08:02 PM Last Post: MphLee Hyperzeta function Balarka Sen 7 7,402 05/08/2013, 01:36 PM Last Post: Balarka Sen

Users browsing this thread: 1 Guest(s)