Factoring systems of linear PDEs with finite-dimensional solution spaces

@article{Li2003FactoringSO,
  title={Factoring systems of linear PDEs with finite-dimensional solution spaces},
  author={Ziming Li and Fritz Schwarz and Serguei P. Tsarev},
  journal={J. Symb. Comput.},
  year={2003},
  volume={36},
  pages={443-471}
}
A D-finite system is a finite set of linear homogeneous partial differential equations in several independent and dependent variables, whose solution space is of finite dimension. Let L be a D-finite system with rational function coefficients. We present an algorithm for computing all hyperexponential solutions of L , and analgorithm for computing all D-finite systems whose coefficients are also rational functions, and whose solutions are contained in the solution space of L . © 2003 Elsevier… CONTINUE READING
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