Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Real and complex behaviour of the base change function (was: The "cheta" function)
#40
(08/13/2011, 10:32 AM)sheldonison Wrote: Henryk, Do you have a reference for showing that the base change function is infinitely differentiable? Perhaps Walker's paper?

There are two papers I know of:

Viana da Silva, M. (1988). The differentiability of the hairs of exp(Z). Proc. Am. Math. Soc., 103(4), 1179–1184.

Walker, P. L. (1991). Infinitely differentiable generalized logarithmic and exponential functions. Math. Comput., 57(196), 723–733.

I send them via e-mail to you.
Reply


Messages In This Thread
RE: Does the limit converge in the complex plane? - by bo198214 - 08/13/2011, 06:33 PM

Possibly Related Threads...
Thread Author Replies Views Last Post
  New mathematical object - hyperanalytic function arybnikov 4 1,054 01/02/2020, 01:38 AM
Last Post: arybnikov
  Constructing real tetration solutions Daniel 4 995 12/24/2019, 12:10 AM
Last Post: sheldonison
  Complex Tetration, to base exp(1/e) Ember Edison 7 3,027 08/14/2019, 09:15 AM
Last Post: sheldonison
  Is there a function space for tetration? Chenjesu 0 667 06/23/2019, 08:24 PM
Last Post: Chenjesu
  Can we get the holomorphic super-root and super-logarithm function? Ember Edison 10 4,804 06/10/2019, 04:29 AM
Last Post: Ember Edison
  Degamma function Xorter 0 1,123 10/22/2018, 11:29 AM
Last Post: Xorter
  b^b^x with base 0<b<e^-e have three real fixpoints Gottfried 1 2,656 11/07/2017, 11:06 AM
Last Post: sheldonison
  An explicit series for the tetration of a complex height Vladimir Reshetnikov 13 13,616 01/14/2017, 09:09 PM
Last Post: Vladimir Reshetnikov
  Taylor series of cheta Xorter 13 14,400 08/28/2016, 08:52 PM
Last Post: sheldonison
  2 real fixpoints again ....... tommy1729 10 10,243 02/23/2016, 10:17 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)