Rational solutions of linear differential and difference equations with polynomial coefficients-Reference-Cited by-同舟云学术

Rational solutions of linear differential and difference equations with polynomial coefficients

Published:1989-01 Issue:6 Volume:29 Page:7-12
ISSN:0041-5553
Container-title:USSR Computational Mathematics and Mathematical Physics
language:en
Short-container-title:USSR Computational Mathematics and Mathematical Physics

Author:

Abramov S.A.

Publisher

Elsevier BV

Subject

General Engineering

Reference6 articles.

1. Solution of linear finite-difference equations with constant coefficients in the field of rational functions;Abramov;Zh. vychisl. Mat. mat. Fiz.,1974

2. Problems of computer algebra connected with the determination of polynomial solutions of linear differential and difference equations. Vestnik Moskov;Abramov;Gos. Univ., Ser. 15, Vychisl. Mat. i Kibernetika,1989

3. The calculation of multivariate polynomial resultants;Collins;J. ACM,1971

4. An algorithm for solving second-order linear homogeneous differential equations;Kovacic;J. Symbolic Computing,1986

Cited by 64 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Necessary and Sufficient Conditions for the Existence of Rational Solutions to Homogeneous Difference Equations with Constant Coefficients;The Bulletin of Irkutsk State University. Series Mathematics;2024

2. Representation of hypergeometric products of higher nesting depths in difference rings;Journal of Symbolic Computation;2024-01

3. Minimization of differential equations and algebraic values of -functions;Mathematics of Computation;2023-10-23

4. Polynomial reduction for holonomic sequences and applications in π-series and congruences;Advances in Applied Mathematics;2023-09

5. The factorial-basis method for finding definite-sum solutions of linear recurrences with polynomial coefficients;Journal of Symbolic Computation;2023-07