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

2018/01/02 by Jakob Ablinger, Ablinger, Jakob · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Symbolic Computation (cs.SC) #cs.SC #math-ph #math.CO #math.MP

paper · pdf · doi:10.48550/arxiv.1801.01039

8 pages. arXiv admin note: text overlap with arXiv:1606.02845

arxiv created 2018/01/02 · arxiv updated 2018/01/04

Abstract

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.

Citations

• Inverse Mellin Transform of Holonomic Sequences

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