Reduction-based creative telescoping for fuchsian D-finite functions

doi:10.1016/j.jsc.2017.07.005

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	Reduction-based creative telescoping for fuchsian D-finite functions
	Chen, Shaoshi1,2 ; van Hoeij, Mark 3; Kauers, Manuel 4; Koutschan, Christoph 5
	2018-03-01
发表期刊	JOURNAL OF SYMBOLIC COMPUTATION
ISSN	0747-7171
卷号	85 页码:108-127
摘要	Continuing a series of articles in the past few years on creative telescoping using reductions, we adapt Trager's Hermite reduction for algebraic functions to fuchsian D-finite functions whose singularities have real exponents. We develop a reduction-based creative telescoping algorithm for this class of functions, thereby generalizing our recent reduction-based algorithm for algebraic functions, presented at ISSAC 2016. (C) 2017 Elsevier Ltd. All rights reserved.
关键词	D-finite function Integral basis Trager's reduction Telescoper
DOI	10.1016/j.jsc.2017.07.005
语种	英语
资助项目	NSFC[11501552] ; NSFC[11688101] ; Academy of Mathematics and Systems Science, CAS[2014-cjrwlzx-chshsh] ; National Science Foundation (NSF)[1618657] ; Austrian Science Fund (FWF)[F50-04] ; Austrian Science Fund (FWF)[Y464-N18] ; Austrian Science Fund (FWF)[W1214]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000413889700006
出版者	ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29119
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.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Florida State Univ, Dept Math, Tallahassee, FL 32306 USA 4.Johannes Kepler Univ Linz, Inst Algebra, Altenberger Str 69, A-4040 Linz, Austria 5.Austrian Acad Sci, RICAM, Altenberger Str 69, A-4040 Linz, Austria
推荐引用方式 GB/T 7714	Chen, Shaoshi,van Hoeij, Mark,Kauers, Manuel,et al. Reduction-based creative telescoping for fuchsian D-finite functions[J]. JOURNAL OF SYMBOLIC COMPUTATION,2018,85:108-127.
APA	Chen, Shaoshi,van Hoeij, Mark,Kauers, Manuel,&Koutschan, Christoph.(2018).Reduction-based creative telescoping for fuchsian D-finite functions.JOURNAL OF SYMBOLIC COMPUTATION,85,108-127.
MLA	Chen, Shaoshi,et al."Reduction-based creative telescoping for fuchsian D-finite functions".JOURNAL OF SYMBOLIC COMPUTATION 85(2018):108-127.