English

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

Symbolic Computation 2018-01-04 v1 Mathematical Physics Combinatorics math.MP

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.

Cite

@article{arxiv.1801.01039,
  title  = {Computing the Inverse Mellin Transform of Holonomic Sequences using Kovacic's Algorithm},
  author = {Jakob Ablinger},
  journal= {arXiv preprint arXiv:1801.01039},
  year   = {2018}
}

Comments

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

R2 v1 2026-06-22T23:35:32.406Z