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Non-minimality of minimal telescopers explained by residues

Published 6 Feb 2025 in cs.SC | (2502.03757v3)

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.

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