On rational solutions of linear partial differential or difference equations

DOI10.1134/S0361768813020060zbMath1311.35048OpenAlexW2076729796MaRDI QIDQ2017749

S. V. Paramonov

Publication date: 23 March 2015

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

Full work available at URL: https://doi.org/10.1134/s0361768813020060

zbMATH Keywords

polynomial coefficients

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Solutions to PDEs in closed form (35C05)

Related Items (4)

On rational solutions of pseudo-linear systems ⋮ On checking existence of infinitely differentiable solutions of partial differential equations with boundary conditions ⋮ On testing the existence of universal denominators for partial differential and difference equations ⋮ Checking existence of solutions of partial differential equations in the fields of Laurent series

Cites Work

• Power series solutions of algebraic differential equations
• On the structure of multivariate hypergeometric terms.
• On Polynomial Solutions of Linear Partial Differential and (q-)Difference Equations
• Partial denominator bounds for partial linear difference equations
• A refined denominator bounding algorithm for multivariate linear difference equations
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