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Mizugadro, pentation, Book
#26
Im fascinated by the (subset) Taylor(x,ln(x)) (or transseries if you want) used for the parabolic fixpoint.

Its ring structure makes solving the zoom equation ( F(f(x)) = f(ax) ) natural.

( polynomials of Taylor(x,ln(x)) are of same type and also Taylor(ax,ln(ax)) is of same type ! )

This needs more attention imho.

Are all parabolic fixpoint expansions (for iterating analytic functions) like this ??

what about terms ln(x)^7 x^3 then ?

regards

tommy1729
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Messages In This Thread
Mizugadro, pentation, Book - by Kouznetsov - 01/11/2015, 06:05 AM
RE: Mizugadro, pentation, Book - by MphLee - 01/11/2015, 02:32 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/11/2015, 05:01 PM
RE: Mizugadro, pentation, Book - by tommy1729 - 01/12/2015, 12:06 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/12/2015, 05:11 AM
RE: Mizugadro, pentation, Book - by sheldonison - 01/13/2015, 02:56 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/13/2015, 06:52 PM
RE: Mizugadro, pentation, Book - by sheldonison - 01/13/2015, 09:02 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/14/2015, 01:12 AM
RE: Mizugadro, pentation, Book - by sheldonison - 01/12/2015, 03:43 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 01/14/2015, 01:21 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/14/2015, 04:08 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 01/15/2015, 01:12 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 01/15/2015, 03:09 PM
RE: Mizugadro, pentation, Book - by tommy1729 - 01/16/2015, 12:31 AM
RE: Mizugadro, pentation, Book - by MphLee - 02/09/2015, 08:19 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/10/2015, 12:07 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/10/2015, 12:18 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/09/2015, 10:35 PM
RE: Mizugadro, pentation, Book - by MphLee - 02/10/2015, 12:48 PM
RE: Mizugadro, pentation, Book - by MphLee - 02/10/2015, 12:12 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/10/2015, 02:40 PM
RE: Mizugadro, pentation, Book - by Gottfried - 02/11/2015, 09:04 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/12/2015, 12:27 AM
RE: Mizugadro, pentation, Book - by Gottfried - 02/12/2015, 04:10 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/13/2015, 02:04 AM
RE: Mizugadro, pentation, Book - by Gottfried - 02/13/2015, 10:09 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/13/2015, 12:23 PM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/13/2015, 12:45 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/13/2015, 02:25 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/13/2015, 01:21 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/14/2015, 01:22 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/15/2015, 05:23 PM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/16/2015, 12:03 AM
RE: Mizugadro, pentation, Book - by mike3 - 02/16/2015, 12:16 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/16/2015, 01:05 AM
RE: Mizugadro, pentation, Book - by Kouznetsov - 02/16/2015, 01:47 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/16/2015, 01:56 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/16/2015, 02:23 AM
RE: Mizugadro, pentation, Book - by tommy1729 - 02/17/2015, 01:34 PM
RE: Mizugadro, pentation, Book - by MphLee - 02/17/2015, 03:36 PM
RE: Mizugadro, pentation, Book - by sheldonison - 03/02/2015, 08:13 PM

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