Carlson's theorem and tetration
#7
(08/20/2010, 08:35 PM)mike3 Wrote:
Quote:I guess it can be generalized to arbitrary regular superfunctions as they are always of the form \( \eta(\pm e^{\kappa z}) \) for some function \( \eta \) analytic at 0.

Yes, provided the fixed point is attracting and positive real.

i believe we need oo to be repelling and f^^n(z) converging for lim n-> oo and any z too.
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Messages In This Thread
Carlson's theorem and tetration - by mike3 - 08/19/2010, 08:43 AM
RE: Carlson's theorem and tetration - by bo198214 - 08/20/2010, 12:21 PM
RE: Carlson's theorem and tetration - by mike3 - 08/20/2010, 08:35 PM
RE: Carlson's theorem and tetration - by tommy1729 - 08/21/2010, 08:36 AM
RE: Carlson's theorem and tetration - by mike3 - 08/21/2010, 08:08 PM
RE: Carlson's theorem and tetration - by bo198214 - 08/22/2010, 05:12 AM
RE: Carlson's theorem and tetration - by mike3 - 08/20/2010, 08:26 PM

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