Desingularization of Ore operators

doi:10.1016/j.jsc.2015.11.001

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	Desingularization of Ore operators
	Chen, Shaoshi1 ; Kauers, Manuel 2; Singer, Michael F.3
刊名	JOURNAL OF SYMBOLIC COMPUTATION
	2016-05-01
卷号	74 页码:617-626
关键词	D-finite functions Apparent singularities Computer algebra Ore operators
ISSN号	0747-7171
DOI	10.1016/j.jsc.2015.11.001
英文摘要	We show that Ore operators can be desingularized by calculating a least common left multiple with a random operator of appropriate order, thereby turning a heuristic used for many years in several computer algebra systems into an algorithm. Our result can be viewed as a generalization of a classical result about apparent singularities of linear differential equations. (C) 2015 Elsevier Ltd. All rights reserved.
资助项目	NSFC[11501552] ; 973 project[2011CB302401] ; Academy of Mathematics and Systems Science, CAS[2014-cjrwlzx-chshsh] ; FWF[Y464-N18] ; FWF[F5004] ; National Science Foundation[CCF-1017217]
WOS研究方向	Computer Science ; Mathematics
语种	英语
出版者	ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
WOS记录号	WOS:000366794100031
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/21620]
专题	系统科学研究所
通讯作者	Chen, Shaoshi
作者单位	1.Chinese Acad Sci, KLMM, AMSS, Beijing 100190, Peoples R China 2.Johannes Kepler Univ Linz, Inst Algebra, A-4040 Linz, Austria 3.N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
推荐引用方式 GB/T 7714	Chen, Shaoshi,Kauers, Manuel,Singer, Michael F.. Desingularization of Ore operators[J]. JOURNAL OF SYMBOLIC COMPUTATION,2016,74:617-626.
APA	Chen, Shaoshi,Kauers, Manuel,&Singer, Michael F..(2016).Desingularization of Ore operators.JOURNAL OF SYMBOLIC COMPUTATION,74,617-626.
MLA	Chen, Shaoshi,et al."Desingularization of Ore operators".JOURNAL OF SYMBOLIC COMPUTATION 74(2016):617-626.