Title | **An algorithm to compute Liouvillian solutions of prime order linear difference–differential equations** |

Author(s) | Ruyong Feng, Michael F. Singer, Min Wu |

Type | Article in Journal |

Abstract | A normal form is given for integrable linear difference–differential equations σ ( Y ) = A Y , δ ( Y ) = B Y , which is irreducible over C ( x , t ) 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. |

Keywords | Linear difference–differential equations, Normal form, Algorithm, Liouvillian solutions |

ISSN | 0747-7171 |

URL |
http://www.sciencedirect.com/science/article/pii/S0747717109001461 |

Language | English |

Journal | Journal of Symbolic Computation |

Volume | 45 |

Number | 3 |

Pages | 306 - 323 |

Year | 2010 |

Edition | 0 |

Translation |
No |

Refereed |
No |