Factoring systems of linear PDEs with finite-dimensional solution spaces

✍ Scribed by Ziming Li; Fritz Schwarz; Serguei P. Tsarev

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 526 KB
• Volume: 36
• Category: Article
• ISSN: 0747-7171
• DOI: 10.1016/s0747-7171(03)00090-7

✦ Synopsis

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 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.