elementary superfunctions
#32
(04/25/2010, 11:35 AM)Kouznetsov Wrote: How about transformation of line 5, \( b=2 \)?

I think this approach is going to fail.
Because then the superfunction is of the form \( \eta(e^{b^x}) \) which means that it is a regular superfunction at some fixed point with \( f'(z_0)=b \).
The only exception would be that we have a complex fixed point (of a real polynomial) with a real derivative \( b \), is that possible?

Quote:Henryk, it is not so easy... Sorry... but.. Wait... May I use complex \( a \) or the basefunction is supposed to be real? Do you mean "real polynomial"?

Yes real base and super function.
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Messages In This Thread
elementary superfunctions - by bo198214 - 04/23/2009, 01:25 PM
RE: elementary superfunctions - by bo198214 - 04/23/2009, 02:23 PM
RE: elementary superfunctions - by bo198214 - 04/23/2009, 03:46 PM
RE: elementary superfunctions - by tommy1729 - 04/27/2009, 11:16 PM
RE: elementary superfunctions - by bo198214 - 04/28/2009, 08:33 AM
RE: elementary superfunctions - by bo198214 - 03/27/2010, 10:27 PM
RE: elementary superfunctions - by bo198214 - 04/18/2010, 01:17 PM
RE: elementary superfunctions - by tommy1729 - 04/18/2010, 11:10 PM
RE: elementary superfunctions - by bo198214 - 04/25/2010, 08:22 AM
RE: elementary superfunctions - by Kouznetsov - 04/25/2010, 09:11 AM
RE: elementary superfunctions - by bo198214 - 04/25/2010, 09:23 AM
RE: elementary superfunctions - by bo198214 - 04/25/2010, 10:48 AM
RE: elementary superfunctions - by Kouznetsov - 04/25/2010, 11:35 AM
RE: elementary superfunctions - by bo198214 - 04/25/2010, 12:12 PM
RE: elementary superfunctions - by Kouznetsov - 04/25/2010, 12:42 PM
RE: elementary superfunctions - by bo198214 - 04/25/2010, 01:10 PM
RE: elementary superfunctions - by Kouznetsov - 04/25/2010, 01:52 PM
RE: elementary superfunctions - by Catullus - 06/15/2022, 11:30 PM
RE: elementary superfunctions - by tommy1729 - 06/15/2022, 11:48 PM
Super-functions - by Kouznetsov - 05/11/2009, 02:02 PM
[split] open problems survey - by tommy1729 - 04/25/2010, 02:34 PM
RE: [split] open problems survey - by bo198214 - 04/25/2010, 05:15 PM

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