RT info:eu-repo/semantics/article
T1 Complexity of Puiseux solutions of differential and q-difference equations of order and degree one
A1 Cano Torres, José María
A1 Fortuny Ayuso, Pedro
A1 Ribón, Javier
K1 Matemáticas - Investigación
K1 power series solution
K1 holomorphic foliation
K1 q-difference equation
K1 Newton–Puiseux polygon
K1 1202 Análisis y Análisis Funcional
K1 1201.04 Álgebra Diferencial
K1 1204 Geometría
AB We relate the complexity of both differential and q-difference equations of order one anddegree one and their solutions. Our point of view is to show that if the solutions are complicated, theinitial equation is complicated too. In this spirit, we bound from below an invariant of the differentialor q-difference equation, the height of its Newton polygon, in terms of the characteristic factors of asolution. The differential and the q-difference cases are treated in a unified way.
PB Universitat Autonoma de Barcelona
SN 02141493
YR 2024
FD 2024
LK https://uvadoc.uva.es/handle/10324/70903
UL https://uvadoc.uva.es/handle/10324/70903
LA eng
NO Publicacions Matèmatiques, 2024, vol. 68, n. 2.  p. 331-358.
NO Producción Científica
DS UVaDOC
RD 23-dic-2024