On the summability of bivariate rational functions

DOI10.1016/j.jalgebra.2014.03.023zbMath1301.33003arXiv1210.6366OpenAlexW2111962563WikidataQ57441943 ScholiaQ57441943MaRDI QIDQ403066

Michael F. Singer, Shaoshi Chen

Publication date: 29 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6366

zbMATH Keywords

summabilityshift operatorsdouble zeta valuesGosper algorithmhypergeometric summabilityhypergeometric terms

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Gamma, beta and polygamma functions (33B15) Multiple sequences and series (40B05) Real rational functions (26C15)

Related Items (6)

Constructing minimal telescopers for rational functions in three discrete variables ⋮ Some open problems related to creative telescoping ⋮ An algorithmic approach to the \(q\)-summability problem of bivariate rational functions ⋮ How to Generate All Possible Rational Wilf-Zeilberger Pairs? ⋮ On the existence of telescopers for rational functions in three variables ⋮ An algorithm for deciding the summability of bivariate rational functions

Uses Software

• Maple

Cites Work

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