Denominators of rational solutions of linear difference systems of an arbitrary order

DOI10.1134/S0361768812020028zbMath1261.65134OpenAlexW2108760180MaRDI QIDQ1758700

Xianqiang Yang

Publication date: 16 November 2012

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768812020028

zbMATH Keywords

algorithmrational solutionsystem of linear difference equationsuniversal denominatorcomputer algebra system Maple

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Linear difference equations (39A06) Numerical methods for difference equations (65Q10)

Related Items (9)

Search of rational solutions to differential and difference systems by means of formal series ⋮ Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order ⋮ Laurent, rational, and hypergeometric solutions of linear \(q\)-difference systems of arbitrary order with polynomial coefficients ⋮ Particular solutions of linear differential and (\(q\)-) difference systems with hypergeometric right-hand sides ⋮ An algorithm for deciding the summability of bivariate rational functions ⋮ Linear differential and difference systems: \(\mathrm{EG}_\delta\)- and \(\mathrm{EG}_\sigma\)-eliminations ⋮ Local improvements of lower bounds for valuations of solutions of linear difference systems with meromorphic coefficients ⋮ When the Search for Solutions Can Be Terminated ⋮ Denominator bounds for higher order systems of linear recurrence equations

Uses Software

• Maple
• RatDiff

Cites Work

• Valuations of rational solutions of linear difference equations at irreducible polynomials
• Search for polynomial solutions of linear functional systems by means of induced recurrences
• Rational solutions of linear difference equations: universal denominators and denominator bounds
• Rational solutions of linear difference and \(q\)-differential equations with polynomial coefficients
• On singular points of solutions of linear differential systems with polynomial coefficients
• On solutions of linear functional systems
• Factorization of Polynomials and GCD Computations for Finding Universal Denominators
• EG-eliminations
• Rational solutions of linear differential and difference equations with polynomial coefficients
• Unnamed Item
• Unnamed Item

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