Apparent singularities of linear difference equations with polynomial coefficients

被引：0

作者：

S. A. Abramov

M. A. Barkatou

M. van Hoeij

机构：

[1] Dorodnicyn Computing Centre of the Russian Academy of Sciences,LACO

[2] Université de Limoges,Department of mathematics

[3] Florida State University,undefined

来源：

Applicable Algebra in Engineering, Communication and Computing | 2006年 / 17卷

关键词：

Linear Differences Equations; Linear Differential Equations; Apparent Singularities; Desingularization; Computer Algebra;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let L be a linear difference operator with polynomial coefficients. We consider singularities of L that correspond to roots of the trailing (resp. leading) coefficient of L. We prove that one can effectively construct a left multiple with polynomial coefficients [inline-graphic not available: see fulltext] of L such that every singularity of [inline-graphic not available: see fulltext] is a singularity of L that is not apparent. As a consequence, if all singularities of L are apparent, then L has a left multiple whose trailing and leading coefficients equal 1.

引用

页码：117 / 133

页数：16

共 5 条

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