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 4 213 01/02/2020, 01:38 AM
Last Post: arybnikov
  Constructing real tetration solutions Daniel 4 220 12/24/2019, 12:10 AM
Last Post: sheldonison
  Complex or Real numbers more important? Daniel 0 81 12/22/2019, 10:36 AM
Last Post: Daniel
  Complex Tetration, to base exp(1/e) Ember Edison 7 2,068 08/14/2019, 09:15 AM
Last Post: sheldonison
  Is there a function space for tetration? Chenjesu 0 448 06/23/2019, 08:24 PM
Last Post: Chenjesu
  Can we get the holomorphic super-root and super-logarithm function? Ember Edison 10 3,373 06/10/2019, 04:29 AM
Last Post: Ember Edison
  Degamma function Xorter 0 892 10/22/2018, 11:29 AM
Last Post: Xorter
  b^b^x with base 0<b<e^-e have three real fixpoints Gottfried 1 2,346 11/07/2017, 11:06 AM
Last Post: sheldonison
  An explicit series for the tetration of a complex height Vladimir Reshetnikov 13 12,192 01/14/2017, 09:09 PM
Last Post: Vladimir Reshetnikov
  Taylor series of cheta Xorter 13 12,833 08/28/2016, 08:52 PM
Last Post: sheldonison



Users browsing this thread: 1 Guest(s)