Rational canonical forms and efficient representations of hypergeometric terms

Authors:
S. A. Abramov;H. Q. Le;M. Petkovšek
Affiliations:
Russian Academy of Science, Moscow, Russia;University of Waterloo, Waterloo, Canada;University of Ljubljana, Ljubljana, Slovenia
Venue:
ISSAC '03 Proceedings of the 2003 international symposium on Symbolic and algebraic computation
Year:
2003

Citing 3
Cited 2

Combinatorial optimization: algorithms and complexity

Combinatorial optimization: algorithms and complexity
Hypergeometric dispersion and the orbit problem

ISSAC '00 Proceedings of the 2000 international symposium on Symbolic and algebraic computation
Rational normal forms and minimal decompositions of hypergeometric terms

Journal of Symbolic Computation - Computer algebra: Selected papers from ISSAC 2001

Computation with hyperexponential functions

ACM SIGSAM Bulletin
Polynomial ring automorphisms, rational (w,σ)-canonical forms, and the assignment problem

Journal of Symbolic Computation

Quantified Score

Hi-index	0.00

Visualization

Abstract

We propose four multiplicative canonical forms that exhibit the shift structure of a given rational function. These forms in particular allow one to represent a hypergeometric term efficiently. Each of these representations is optimal in some sense.