Some Open Problems Related to Creative Telescoping

doi:10.1007/s11424-017-6202-9

CSpace > 系统科学研究所

	Some Open Problems Related to Creative Telescoping
	Shaoshi, Chen1 ; Manuel, Kauers 2
	2017-02-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	30 期号:1 页码:154-172
摘要	Creative telescoping is the method of choice for obtaining information about definite sums or integrals. It has been intensively studied since the early 1990s, and can now be considered as a classical technique in computer algebra. At the same time, it is still a subject of ongoing research. This paper presents a selection of open problems in this context. The authors would be curious to hear about any substantial progress on any of these problems.
关键词	Computer algebra creative telescoping differential algebra linear operators ore algebras symbolic integration symbolic summation.
DOI	10.1007/s11424-017-6202-9
语种	英语
资助项目	National Natural Science Foundation of China[11501552] ; President Fund of the Academy of Mathematics and Systems Science, CAS ; Ministry of Education of China ; Austrian FWF[F5004] ; Austrian FWF[Y464-N18] ; Austrian FWF[W1214]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000397236700012
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25087
专题	系统科学研究所
通讯作者	Shaoshi, Chen
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mech, Beijing 100190, Peoples R China 2.Johannes Kepler Univ Linz, Inst Algebra, Linz, Austria
推荐引用方式 GB/T 7714	Shaoshi, Chen,Manuel, Kauers. Some Open Problems Related to Creative Telescoping[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2017,30(1):154-172.
APA	Shaoshi, Chen,&Manuel, Kauers.(2017).Some Open Problems Related to Creative Telescoping.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,30(1),154-172.
MLA	Shaoshi, Chen,et al."Some Open Problems Related to Creative Telescoping".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 30.1(2017):154-172.