Periodic oscillations of coefficients of power series that satisfy functional equations, a practical revision

Autor:	Kutsenko, Anton A
Rok vydání:	2023
Předmět:	Mathematics - Functional Analysis Mathematics - Classical Analysis and ODEs Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 40th anniversary of one outstanding work - I have now made a small contribution to those wonderful results
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.12646 Zobrazit plný text záznamu View this record from Arxiv