FORMAL SOLUTIONS AND FACTORIZATION OF DIFFERENTIAL-OPERATORS WITH POWER-SERIES COEFFICIENTS

Authors
VANHOEIJ M
Citation
M. Vanhoeij, FORMAL SOLUTIONS AND FACTORIZATION OF DIFFERENTIAL-OPERATORS WITH POWER-SERIES COEFFICIENTS, Journal of symbolic computation, 24(1), 1997, pp. 1-30
Citations number
20
Categorie Soggetti
Mathematics,"Computer Sciences, Special Topics",Mathematics,"Computer Science Theory & Methods
Journal title
Journal of symbolic computation → ACNP
ISSN journal
07477171
Volume
24
Issue
1
Year of publication
1997
Pages
1 - 30
Database
ISI
SICI code
0747-7171(1997)24:1<1:FSAFOD>2.0.ZU;2-L
Abstract
The topic of this paper is formal solutions of linear differential equ ations with formal power series coefficients. The method proposed for computing these solutions is based on factorization of differential op erators. The notion of exponential parts is introduced to give a descr iption of factorization properties and to characterize the formal solu tions. The algorithms will be described and their implementation is av ailable. (C) 1997 Academic Press Limited.