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Sep 4, 2017 at 20:35 comment added Richard Stanley See also Enumerative Combinatorics, vol. 2, Exercise 5.52. However, these formal solutions might have radius of convergence 0, even for nice functions such as $g(x)=e^x-1$.
Apr 13, 2017 at 12:58 history edited CommunityBot
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Feb 15, 2016 at 5:54 comment added Gottfried Helms @DanielGeisler - I've seen that series first time in L. Comtet, Advanced Combinatorics, and in the 5'th edition it was -I think- around pages 140-144 and this was, as I vaguely remember, even visible in google-books.
Mar 31, 2014 at 4:48 comment added user37691 I am unfamiliar with the use of your series for iterated functions. Do you have a reference for it being used with iterated functions? The series makes no mention of fixed points, yet they shape the dynamics in their neighborhood.
Mar 17, 2014 at 5:31 history answered Anixx CC BY-SA 3.0