Some Open Problems Related to Creative Telescoping  

作　　者：CHEN Shaoshi KAUERS Manuel 

机构地区：[1]Key Laboratory of Mathematics Mechanization,Academy of Mathematics and Systems Science,Chinese Academy of Sciences [2]Institute for Algebra,J. Kepler University Linz

出　　处：《Journal of Systems Science & Complexity》2017年第1期154-172,共19页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.11501552;the President Fund of the Academy of Mathematics and Systems Science,CAS(2014-cjrwlzx-chshsh);a Starting Grant from the Ministry of Education of China;supported by the Austrian FWF under Grant Nos.F5004,Y464-N18,and W1214

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. 

分 类 号：O15[理学—数学]