A Recursive Method for Determining the One-Dimensional Submodules of Laurent-Ore Modules

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We present a method for determining the one-dimensional submodules of a Laurent-Ore module. The method is based on a correspondence between hyperexponential solutions of associated systems and one-dimensional submodules. The hyperexponential solutions are computed recursively by solving a sequence of first-order ordinary matrix equations. As the recursion proceeds, the matrix equations will have constant coefficients with respect to the operators that have been considered.
To appear in the Proceedings of ISSAC 2006

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Symbolic Computation, Classical Analysis and ODEs

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http://salesiana.dossiersoluciones.com/handle/123456789/111051

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cs/0604084
 http://arxiv.org/abs/cs/0604084

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arXiv