Hypergeometric Solutions of First-Order Linear Difference Systems with Rational-Function Coefficients

被引：7
|
作者：
Abramov, S. A. [1 ]
Petkovsek, M. [2 ]
Ryabenko, A. A. [1 ]
机构：
[1] Russian Acad Sci, Ctr Comp, Moscow 119991, Russia
[2] Univ Ljubljana, Fac Math & Phys, SI-1000 Ljubljana, Slovenia
来源：
COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING (CASC 2015) | 2015年 / 9301卷
关键词：
RECURRENCE EQUATIONS; DENOMINATORS; ORDER;
D O I：
10.1007/978-3-319-24021-3_1
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Algorithms for finding hypergeometric solutions of scalar linear difference equations with rational-function coefficients are known in computer algebra. We propose an algorithm for the case of a first-order system of such equations. The algorithm is based on the resolving procedure which is proposed as a suitable auxiliary tool, and on the search for hypergeometric solutions of scalar equations as well as on the search for rational solutions of systems with rational-function coefficients. We report some experiments with our implementation of the algorithm.
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页码：1 / 14
页数：14
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