A direct algorithm to compute rational solutions of first order linear q-difference systems

被引：6
|
作者：
Abramov, SA [1 ]
机构：
[1] Russian Acad Sci, Ctr Comp, Moscow 117967, Russia
来源：
DISCRETE MATHEMATICS | 2002年 / 246卷 / 1-3期
基金：
俄罗斯基础研究基金会;
关键词：
direct algorithms; linear q-difference equations and systems; polynomial and rational solutions; universal denominator;
D O I：
10.1016/S0012-365X(01)00248-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present an algorithm to compute rational function solutions to a first order system of linear q-difference equations with rational coefficients. We make use of the fact that q-difference equations bear similarity to differential equations at the point 0 and to difference equations at other points. This allows the combining of known algorithms for the differential and the difference cases. This algorithm does not require preliminary uncoupling of the given system. (C) 2002 Elsevier Science B.V. All rights reserved.
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页码：3 / 12
页数：10
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