Search for polynomial solutions of linear functional systems by means of induced recurrences

被引：12

作者：

Khmelnov, DE ^{[1
]}

机构：

[1] Russian Acad Sci, Ctr Comp, Moscow 119991, Russia

来源：

PROGRAMMING AND COMPUTER SOFTWARE | 2004年 / 30卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1023/B:PACS.0000021262.53665.1f

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The problem of searching for polynomial solutions of linear functional (differential, difference, and q-difference) equations is considered. The problem is solved by means of the construction of an induced recurrent system in the coefficients of the expansion of the desired solution in a certain basis. In the paper, practical aspects of the construction of such induced recurrences are discussed, and a new algorithm for the construction of polynomial solutions based on them is suggested.

引用

页码：61 / 67

页数：7

共 12 条

[1]

Abramov S., 2002, RR4420 INRIA

[2]

Abramov S. A., 1995, Proceedings of the 1995 International Symposium on Symbolic and Algebraic Computation, ISSAC '95, P290, DOI 10.1145/220346.220384

[3]

Abramov S. A., 2001, ISSAC 2001. Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, P1, DOI 10.1145/384101.384102

[4] EG-eliminations [J].