Particular Solutions of Linear Differential and (q-) Difference Systems with Hypergeometric Right-hand Sides


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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.

Sobre autores

A. Ryabenko

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control” of Russian Academy of Sciences

Autor responsável pela correspondência
Email: anna.ryabenko@gmail.com
Rússia, ul. Vavilova 40, Moscow, 119333

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