Linear differential equations and Hurwitz series

@article{WilliamF2011,
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.},
author = {William F. Keigher, V. Ravi Srinivasan},
journal = {Banach Center Publications},
keywords = {Hurwitz product; differential operator; differential automorphism},
language = {eng},
number = {1},
pages = {205-213},
title = {Linear differential equations and Hurwitz series},
url = {http://eudml.org/doc/282284},
volume = {94},
year = {2011},
}

TY - JOUR
AU - William F. Keigher
AU - V. Ravi Srinivasan
TI - Linear differential equations and Hurwitz series
JO - Banach Center Publications
PY - 2011
VL - 94
IS - 1
SP - 205
EP - 213
AB - 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.
LA - eng
KW - Hurwitz product; differential operator; differential automorphism
UR - http://eudml.org/doc/282284
ER -