Power Series Solutions of Non-Linear q-Difference Equations and the Newton-Puiseux Polygon
Algebraic Geometry
2022-10-04 v2
Abstract
Adapting the Newton-Puiseux Polygon process to nonlinear q-difference equations of any order and degree, we compute their power series solutions, study the properties of the set of exponents of the solutions and give a bound for their Gevrey order in terms of the order of the original equation.
Keywords
Cite
@article{arxiv.1209.0295,
title = {Power Series Solutions of Non-Linear q-Difference Equations and the Newton-Puiseux Polygon},
author = {José Cano and Pedro Fortuny Ayuso},
journal= {arXiv preprint arXiv:1209.0295},
year = {2022}
}