q-Algebraic Equations, their power series solutions, and the asymptotic behavior of their coefficients

Autor:	Barbe, Ph., Cano, J., Ayuso, P. Fortuny, McCormick, W. P.
Rok vydání:	2020
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Combinatorics 39-02 (Primary) 05.02 05A15 05A16 05A30 39A13 40-02 41A60 44A15 68R05 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We give a systematic study of q-algebraic equations. The questions of existence, uniqueness and regularity of the solutions are solved in the space of grid-based Hahn series. The regularity is understood in terms of asymptotic behavior of coefficients, and is the main focus of this work. The results and algorithms are illustrated by many examples. Comment: 306 pages, 65 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.09527 Zobrazit plný text záznamu View this record from Arxiv