2012/01/10 by Shaoshi Chen, Manuel Kauers, Chen, Shaoshi +1 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Computer and information sciences #Mathematical functions and polynomials #Polynomial and algebraic computation #Symbolic Computation (cs.SC) #cs.SC
paper · pdf · doi:10.48550/arxiv.1201.1982
arxiv created 2012/01/10 · openalex publication_date 2012/01/10 · arxiv updated 2012/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Creative telescoping applied to a bivariate proper hypergeometric term produces linear recurrence operators with polynomial coefficients, called telescopers. We provide bounds for the degrees of the polynomials appearing in these operators. Our bounds are expressed as curves in the (r,d)-plane which assign to every order r a bound on the degree d of the telescopers. These curves are hyperbolas, which reflect the phenomenon that higher order telescopers tend to have lower degree, and vice versa.