Solving difference equations in finite terms

被引：64
|
作者：
Hendriks, PA
Singer, MF
机构：
[1] Univ Groningen, Dept Math, NL-9700 AV Groningen, Netherlands
[2] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 1999年 / 27卷 / 03期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1006/jsco.1998.0251
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We define the notion of a Liouvillian sequence and show that the solution space of a difference equation with rational function coefficients has a basis of Liouvillian sequences iff the Galois group of the equation is solvable. Using this we give a procedure to determine the Liouvillian solutions of such a difference equation. (C) 1999 Academic Press.
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页码：239 / 259
页数：21
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