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arxiv: 1801.01039 · v1 · submitted 2018-01-02 · 💻 cs.SC · math-ph· math.CO· math.MP

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Computing the Inverse Mellin Transform of Holonomic Sequences using Kovacic's Algorithm

Jakob Ablinger
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classification 💻 cs.SC math-phmath.COmath.MP
keywords algorithmholonomicinversekovacicmellinmethodsequencestransform
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We describe how the extension of a solver for linear differential equations by Kovacic's algorithm helps to improve a method to compute the inverse Mellin transform of holonomic sequences. The method is implemented in the computer algebra package HarmonicSums.

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