Non-minimality of minimal telescopers explained by residues

Authors:
  • SCShaoshi Chen
    Shaoshi Chen
  • MKManuel Kauers
    Manuel Kauers
  • CKChristoph Koutschan
    Christoph Koutschan
  • XLXiuyun Li
    Xiuyun Li
  • RWRong-Hua Wang
    Rong-Hua Wang
  • YWYisen Wang
    Yisen Wang
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Abstract
Elaborating on an approach recently proposed by Mark van Hoeij, we continue to investigate why creative telescoping occasionally fails to find the minimal-order annihilating operator of a given definite sum or integral. We offer an explanation based on the consideration of residues.