• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Should tetration be a multivalued function? andydude Long Time Fellow Posts: 509 Threads: 44 Joined: Aug 2007 01/04/2016, 12:01 AM (01/03/2016, 11:24 PM)marraco Wrote: The problem is that the Z curve is not uniquely defined. It depends on the value choosen for $\vspace{15}{^0a}$. Any value between $\vspace{20}{{y_{\infty}} < ^0a < {y_{-\infty}}}$ is valid, and the only difference this choice make, is the horizontal displacement on the curve. I drew the Z curve matching the origin with his inflection point (roughly). It appears that these 3 branches are not connected in the real line, but I would suspect that they are connected in the complex plane (to make a Riemann surface), and that fixing ${}^0a = 1$ on the main branch might fix the value of the other branches, at least that's what I would think. « Next Oldest | Next Newest »

 Messages In This Thread Should tetration be a multivalued function? - by marraco - 01/03/2016, 11:24 PM RE: Should tetration be a multivalued function? - by marraco - 01/03/2016, 11:32 PM RE: Should tetration be a multivalued function? - by andydude - 01/03/2016, 11:55 PM RE: Should tetration be a multivalued function? - by andydude - 01/04/2016, 12:01 AM RE: Should tetration be a multivalued function? - by marraco - 01/04/2016, 12:08 AM RE: Should tetration be a multivalued function? - by andydude - 01/04/2016, 12:35 AM RE: Should tetration be a multivalued function? - by marraco - 01/04/2016, 03:57 AM RE: Should tetration be a multivalued function? - by marraco - 01/08/2016, 06:26 PM RE: Should tetration be a multivalued function? - by marraco - 01/08/2016, 11:05 PM RE: Should tetration be a multivalued function? - by sheldonison - 01/09/2016, 06:20 AM RE: Should tetration be a multivalued function? - by marraco - 01/09/2016, 05:56 PM RE: Should tetration be a multivalued function? - by marraco - 01/14/2016, 04:24 AM RE: Should tetration be a multivalued function? - by tommy1729 - 01/10/2016, 03:37 AM RE: Should tetration be a multivalued function? - by marraco - 01/11/2016, 09:28 PM RE: Should tetration be a multivalued function? - by andydude - 01/13/2016, 08:24 AM RE: Should tetration be a multivalued function? - by sheldonison - 01/13/2016, 01:37 PM

 Possibly Related Threads... Thread Author Replies Views Last Post New mathematical object - hyperanalytic function arybnikov 4 362 01/02/2020, 01:38 AM Last Post: arybnikov Is there a function space for tetration? Chenjesu 0 500 06/23/2019, 08:24 PM Last Post: Chenjesu Degamma function Xorter 0 949 10/22/2018, 11:29 AM Last Post: Xorter Introducing new special function : Lambert_t(z,r) tommy1729 2 3,729 01/10/2016, 06:14 PM Last Post: tommy1729 Tommy-Mandelbrot function tommy1729 0 2,017 04/21/2015, 01:02 PM Last Post: tommy1729 The inverse gamma function. tommy1729 3 7,746 05/13/2014, 02:18 PM Last Post: JmsNxn entire function close to sexp ?? tommy1729 8 9,726 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 7,050 07/17/2013, 09:46 AM Last Post: Gottfried Proof Ackermann function extended to reals cannot be commutative/associative JmsNxn 1 3,100 06/15/2013, 08:02 PM Last Post: MphLee Hyperzeta function Balarka Sen 7 8,146 05/08/2013, 01:36 PM Last Post: Balarka Sen

Users browsing this thread: 1 Guest(s)