An algorithm to compute Liouvillian solutions of prime order linear difference�differential equations

• Autores: Ruyong Feng, Michael F. Singer, Min Wu
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 45, Nº 3, 2010, págs. 306-323
• Idioma: inglés
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• Resumen

  • A normal form is given for integrable linear difference�differential equations {?(Y)=AY,?(Y)=BY}, which is irreducible over View the MathML source and solvable in terms of Liouvillian solutions. We refine this normal form and devise an algorithm to compute all Liouvillian solutions of such kinds of systems of prime order.