Rational solutions of linear difference equations: universal denominators and denominator bounds
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Publication:763553
DOI10.1134/S0361768811020022zbMath1247.65156MaRDI QIDQ763553
Publication date: 12 March 2012
Published in: Programming and Computer Software (Search for Journal in Brave)
algorithmnumerical examplespolynomial coefficientsrational solutionslinear difference equationscomplexities
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Related Items (11)
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 ⋮ Difference integrability conditions for parameterized linear difference and differential equations ⋮ Solving the Cauchy problem for a three-dimensional difference equation in a parallelepiped ⋮ Evaluating the rational generating function for the solution of the Cauchy problem for a two-dimensional difference equation with constant coefficients ⋮ Laurent, rational, and hypergeometric solutions of linear \(q\)-difference systems of arbitrary order with polynomial coefficients ⋮ Computational problems of multivariate hypergeometric theory ⋮ Particular solutions of linear differential and (\(q\)-) difference systems with hypergeometric right-hand sides ⋮ Denominators of rational solutions of linear difference systems of an arbitrary order ⋮ Linear differential and difference systems: \(\mathrm{EG}_\delta\)- and \(\mathrm{EG}_\sigma\)-eliminations ⋮ Solving the Cauchy problem for a two-dimensional difference equation at a point using computer algebra methods
Uses Software
Cites Work
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- Valuations of rational solutions of linear difference equations at irreducible polynomials
- Factorization of Polynomials and GCD Computations for Finding Universal Denominators
- Linear differential, difference and q -difference homogeneous equations having no rational solutions
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