Desingularization of Ore operators. (May 2016)

• Record Type: Journal Article
• Authors: Chen, Shaoshi; Kauers, Manuel; Singer, Michael F.
• Is Part Of: Journal of symbolic computation. Volume 74(2016)
• Page Start: 617
• Page End: 626
• Publication Date: 2016-05
• Subjects: D-finite functions -- Apparent singularities -- Computer algebra -- Ore operators; 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.2015.11.001
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We show that Ore operators can be desingularized by calculating a least common left multiple with a random operator of appropriate order, thereby turning a heuristic used for many years in several computer algebra systems into an algorithm. Our result can be viewed as a generalization of a classical result about apparent singularities of linear differential equations.