TY - JOUR
T1 - Constructing reductions for creative telescoping
T2 - The general differentially finite case
AU - van der Hoeven, Joris
N1 - Publisher Copyright:
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2021/11/1
Y1 - 2021/11/1
N2 - The class of reduction-based algorithms was introduced recently as a new approach towards creative telescoping. Starting with Hermite reduction of rational functions, various reductions have been introduced for increasingly large classes of holonomic functions. In this paper we show how to construct reductions for general holonomic functions, in the purely differential setting.
AB - The class of reduction-based algorithms was introduced recently as a new approach towards creative telescoping. Starting with Hermite reduction of rational functions, various reductions have been introduced for increasingly large classes of holonomic functions. In this paper we show how to construct reductions for general holonomic functions, in the purely differential setting.
KW - Creative telescoping
KW - Hermite reduction
KW - Holonomic function
KW - Residues
U2 - 10.1007/s00200-020-00413-3
DO - 10.1007/s00200-020-00413-3
M3 - Article
AN - SCOPUS:85078248126
SN - 0938-1279
VL - 32
SP - 575
EP - 602
JO - Applicable Algebra in Engineering, Communication and Computing
JF - Applicable Algebra in Engineering, Communication and Computing
IS - 5
ER -