@article{chen2018JSC, title = "Reduction-based creative telescoping for fuchsian D-finite functions", journal = "Journal of Symbolic Computation", volume = "85", pages = "108 - 127", year = "2018", note = "41th International Symposium on Symbolic and Alge-braic Computation (ISSACĄŻ16)", issn = "0747-7171", doi = "https://doi.org/10.1016/j.jsc.2017.07.005", url = "http://www.sciencedirect.com/science/article/pii/S074771711730069X", author = "Shaoshi Chen and Mark van Hoeij and Manuel Kauers and Christoph Koutschan", keywords = "D-finite function, Integral basis, Trager's reduction, Telescoper", 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." }