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Mathematics > Functional Analysis
Title: Periodic oscillations of coefficients of power series that satisfy functional equations, a practical revision
(Submitted on 24 Feb 2023 (v1), last revised 18 May 2023 (this version, v2))
Abstract: For the solutions $\Phi(z)$ of functional equations $\Phi(z)=P(z)+\Phi(Q(z))$, we derive a complete asymptotic of power series coefficients. As an application, we improve significantly an asymptotic of the number of $2,3$-trees with $n$ leaves given in Adv. Math. 44:180-205, 1982 by Andrew M. Odlyzko. The methods we consider can be applied to more general functional equations too.
Submission history
From: Anton Kutsenko A [view email][v1] Fri, 24 Feb 2023 14:13:38 GMT (337kb,D)
[v2] Thu, 18 May 2023 15:19:56 GMT (337kb,D)
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