Reduction-Based Creative Telescoping for Fuchsian D-finite Functions

@article{Chen2018ReductionBasedCT,
  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},
  year={2018},
  volume={abs/1611.07421}
}
  • Shaoshi Chen, Mark van Hoeij, +1 author Christoph Koutschan
  • Published 2018
  • Computer Science, Mathematics
  • ArXiv
  • 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 whose singularities have real exponents. We 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. 

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