Desingularization of Ore operators

Shaoshi Chen, Manuel Kauers, Michael F. Singer
2016 Journal of symbolic computation  
We show that Ore operators can be desingularized by calculating a least common left multiple with a random operator of appropriate order. Our result generalizes a classical result about apparent singularities of linear differential equations, and it gives rise to a surprisingly simple desingularization algorithm. 1991 Mathematics Subject Classification. 68W30, 33F10.
doi:10.1016/j.jsc.2015.11.001 fatcat:bthf6nsno5erjngiqqa2qsde6y