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::The issue is whether the Taylors series can be validated by a peer reviewed article in a published journal. Am I unhappy with the Carleson and Gamelin 1993 text? Actually I contacted one of the authors and he said he no longer worked with complex dynamics. My concern is that while the Classification of Fixed Points documents the Schroeder and Abel equations, it does it in a round about way and provides no explanation of why they are necessary. The power series expansion around a fixed point has interesting combinatorial properties besides providing a natural explanation for both the Schroeder and Abel equations. [[User:Daniel Geisler|Daniel Geisler]] ([[User talk:Daniel Geisler|talk]]) 06:54, 14 May 2014 (UTC)
:::You are evidently proposing rewrites of the [[Carleman matrix]] algorithm, which most of the references cited here hew to. An ambitious project. The Scroeder equation solves the project for somebody more advanced than the novice coming to this specific article here, as discussed above. Further technicalities would only obscure the picture here---but you could test-drive your proposals on [[superfunction]] which needs your, and anyone's really!, help. Are you ''sure'' you contacted the author [[User:Drschawrz]] of these sections? [[User:Cuzkatzimhut|Cuzkatzimhut]] ([[User talk:Cuzkatzimhut|talk]]) 10:44, 14 May 2014 (UTC)
It's been a week and nobody has provided any reason to think that the section on fractional iteration can be validated through being published. Ironically I don't disagree with the results, I just think they should be published first. [[User:Daniel Geisler|Daniel Geisler]] ([[User talk:Daniel Geisler|talk]]) 11:22, 21 May 2014 (UTC)
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