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.

引用

页码：1 / 14

页数：14

共 21 条

[11] AN ALGORITHM FOR COMPUTING A COMPANION BLOCK DIAGONAL FORM FOR A SYSTEM OF LINEAR-DIFFERENTIAL EQUATIONS [J].