@techreport{RISC4413,author = {Shaoshi Chen and Manuel Kauers},
title = {{Order-Degree Curves for Hypergeometric Creative Telescoping}},
language = {english},
abstract = { 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.},
number = {1201.1982},
year = {2012},
institution = {ArXiv},
length = {8}
}