Particular Solutions of Linear Differential and (q-) Difference Systems with Hypergeometric Right-hand Sides
- 作者: Ryabenko A.A.1
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隶属关系:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control” of Russian Academy of Sciences
- 期: 卷 45, 编号 5 (2019)
- 页面: 298-302
- 栏目: Article
- URL: https://journals.rcsi.science/0361-7688/article/view/176895
- DOI: https://doi.org/10.1134/S0361768819020099
- ID: 176895
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详细
Nonhomogeneous systems of linear ordinary differential, difference, and q-difference equations are considered. The coefficients of the systems are rational functions of one variable over a field of characteristic 0. Equations in the system may have arbitrary orders. For differential systems with a hyperexponential right-hand side and (q-)difference systems with a hypergeometric right-hand side, an algorithm for searching particular solutions is suggested. The search for a particular solution for such systems reduces to solving several problems of searching particular solutions of nonhomogeneous systems with polynomial coefficients and polynomial right-hand sides. An implementation of the algorithm in Maple 2018 is proposed.
作者简介
A. Ryabenko
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control” of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: anna.ryabenko@gmail.com
俄罗斯联邦, ul. Vavilova 40, Moscow, 119333
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