Reduction-based creative telescoping for fuchsian D-finite functions. (March 2018)

• Record Type: Journal Article
• Authors: Chen, Shaoshi; van Hoeij, Mark; Kauers, Manuel; Koutschan, Christoph
• Is Part Of: Journal of symbolic computation. Volume 85(2018)
• Page Start: 108
• Page End: 127
• Publication Date: 2018-03
• Subjects: D-finite function -- Integral basis -- Trager's reduction -- Telescoper; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2017.07.005
• Languages: English
• ISSNs: 0747-7171

Abstract

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.