Desingularization of Ore operators

DOI10.1016/j.jsc.2015.11.001zbMath1348.68300arXiv1408.5512OpenAlexW2148061837WikidataQ57432277 ScholiaQ57432277MaRDI QIDQ898287

Michael F. Singer, Shaoshi Chen, Manuel Kauers

Publication date: 8 December 2015

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5512

zbMATH Keywords

computer algebraapparent singularitiesD-finite functionsOre operators

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Related Items (9)

Sequence positivity through numeric analytic continuation: uniqueness of the Canham model for biomembranes ⋮ D-finite numbers ⋮ On some combinatorial sequences associated to invariant theory ⋮ Some open problems related to creative telescoping ⋮ Removing apparent singularities of linear difference systems ⋮ Telescopers for differential forms with one parameter ⋮ Minimization of differential equations and algebraic values of 𝐸-functions ⋮ Desingularization in the \(q\)-Weyl algebra ⋮ Apparent singularities of D-finite systems

Uses Software

• SageMath
• ore_algebra

Cites Work

• Trading order for degree in creative telescoping
• An introduction to pseudo-linear algebra
• Theory of non-commutative polynomials
• Apparent singularities of linear difference equations with polynomial coefficients
• Ore polynomial rings in one variable in computer algebra.
• Ore Polynomials in Sage
• Desingularization explains order-degree curves for ore operators
• Fast computation of common left multiples of linear ordinary differential operators
• Order-degree curves for hypergeometric creative telescoping
• Unnamed Item

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