Solving recurrence relations using local invariants

DOI10.1145/1837934.1837992zbMath1321.11124OpenAlexW2006302835MaRDI QIDQ2946556

Mark van Hoeij, Giles Levy, Yongjae Cha

Publication date: 17 September 2015

Published in: Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1837934.1837992

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Number-theoretic algorithms; complexity (11Y16) Recurrences (11B37) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items

Constructing minimal telescopers for rational functions in three discrete variables, Some open problems related to creative telescoping, Closed form solutions of linear difference equations in terms of symmetric products, Solutions of linear recurrence equations

Uses Software

• DIFFALG
• AIDA

Cites Work

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• Differential algebra for derivations with nontrivial commutation rules
• Generating differential invariants
• Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds
• Smooth and algebraic invariants of a group action: Local and global constructions
• Differential invariants of a Lie group action: syzygies on a generating set
• Invariants différentiels d'un pseudogroupe de Lie. I
• Invariants différentiels d'un pseudogroupe de Lie. II
• Higher order contact of submanifolds of homogeneous spaces
• Moving coframes. II: Regularization and theoretical foundations
• Rational invariants of a group action. Construction and rewriting
• Differential invariants of conformal and projective surfaces