Detecting Nonexistence of Rational Solutions of Linear Difference Equations in Early Stages of Computation

DOI10.1145/2733693.2733697zbMath1322.68282OpenAlexW2029252621MaRDI QIDQ5178928

A. Gheffar

Publication date: 18 March 2015

Published in: ACM Communications in Computer Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/2733693.2733697

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Difference algebra (12H10) Linear difference equations (39A06)

Related Items (2)

Search of rational solutions to differential and difference systems by means of formal series ⋮ When the Search for Solutions Can Be Terminated

Uses Software

• RatDiff

Cites Work

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• The method of creative telescoping
• Rational solutions of linear difference and \(q\)-differential equations with polynomial coefficients
• Factorization of Polynomials and GCD Computations for Finding Universal Denominators
• Decision procedure for indefinite hypergeometric summation
• Integration of solutions of linear functional equations
• Linear differential, difference and q -difference homogeneous equations having no rational solutions

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