English

Reduction-Based Creative Telescoping for Fuchsian D-finite Functions

Symbolic Computation 2016-11-23 v1

Abstract

Continuing a series of articles in the past few years on creative telescoping using reductions, we adapt Trager's Hermite reduction for algebraic functions to fuchsian D-finite functions and develop a reduction-based creative telescoping algorithm for this class of functions, thereby generalizing our recent reduction-based algorithm for algebraic functions, presented at ISSAC 2016.

Cite

@article{arxiv.1611.07421,
  title  = {Reduction-Based Creative Telescoping for Fuchsian D-finite Functions},
  author = {Shaoshi Chen and Mark van Hoeij and Manuel Kauers and Christoph Koutschan},
  journal= {arXiv preprint arXiv:1611.07421},
  year   = {2016}
}

Comments

arXiv admin note: text overlap with arXiv:1602.00424

R2 v1 2026-06-22T17:01:08.907Z