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On the existence of telescopers for rational functions in three variables 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 104, 页码: 494-522
作者:  Chen, Shaoshi;  Du, Lixin;  Wang, Rong-Hua;  Zhu, Chaochao
收藏  |  浏览/下载:142/0  |  提交时间:2021/04/26
Creative telescoping  Existence criterion  Reduction  Telescoper  
Apparent singularities of D-finite systems 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2019, 卷号: 95, 页码: 217-237
作者:  Chen, Shaoshi;  Kauers, Manuel;  Li, Ziming;  Zhang, Yi
收藏  |  浏览/下载:163/0  |  提交时间:2020/01/10
D-finite system  Grobner basis  Ordinary point  Formal power series  Apparent singularity  Desingularization  
Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2019, 卷号: 93, 页码: 133-147
作者:  Chen, Shaoshi;  Koutschan, Christoph
收藏  |  浏览/下载:207/0  |  提交时间:2019/03/11
Wilf-Zeilberger conjecture  Hypergeometric term  Properness  Holonomic function  D-finite function  Ore-Sato theorem  
Reduction-based creative telescoping for fuchsian D-finite functions 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2018, 卷号: 85, 页码: 108-127
作者:  Chen, Shaoshi;  van Hoeij, Mark;  Kauers, Manuel;  Koutschan, Christoph
收藏  |  浏览/下载:141/0  |  提交时间:2018/07/30
D-finite function  Integral basis  Trager's reduction  Telescoper  
Desingularization of Ore operators 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2016, 卷号: 74, 页码: 617-626
作者:  Chen, Shaoshi;  Kauers, Manuel;  Singer, Michael F.
收藏  |  浏览/下载:136/0  |  提交时间:2018/07/30
D-finite functions  Apparent singularities  Computer algebra  Ore operators