Li, Z.Z.LiSchwarz, F.F.SchwarzTsarev, S.S.Tsarev2022-03-032022-03-032003https://publica.fraunhofer.de/handle/publica/20388410.1016/S0747-7171(03)00090-7A 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 an algorithm for computing all D-finite systems whose coefficients are also rational functions, and whose solutions are contained in the solution space of L.en003005006518510Factoring systems of linear PDEs with finite-dimensional solution spacejournal article