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An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations - MaRDI portal

An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations (Q846352)

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scientific article; zbMATH DE number 5667919
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An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations
scientific article; zbMATH DE number 5667919

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    An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations (English)
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    9 February 2010
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    In the previous paper [J. Symb. Comput. 45, No. 3, 287--305 (2010; Zbl 1233.12004)], the authors developed a Galois theory for difference-differential equations, defined the notion of Liouvillian solutions for such equations and gave a Galois theoretic criterion for the existence of such solutions. In the present paper, they study algorithms for deciding the existence of such solutions.
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    linear difference-differential equations
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    normal form
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    algorithm
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    Liouvillian solutions
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