Linear differential equations and Hurwitz series
Volume 94 / 2011
Banach Center Publications 94 (2011), 205-213
MSC: Primary 12H05; Secondary 12H20.
DOI: 10.4064/bc94-0-13
Abstract
In this article, we study solutions of linear differential equations using Hurwitz series. We first obtain explicit recursive expressions for solutions of such equations and study the group of differential automorphisms of the solutions. Moreover, we give explicit formulas that compute the group of differential automorphisms. We require neither that the underlying field be algebraically closed nor that the characteristic of the field be zero.
