The Ore-Sato theorem and shift exponents in the \(q\)-difference case

DOI10.1007/s11424-019-8355-1zbMath1408.33030OpenAlexW2914272397WikidataQ128368326 ScholiaQ128368326MaRDI QIDQ1730313

Ziming Li, Hao Du

Publication date: 6 March 2019

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-019-8355-1

zbMATH Keywords

cocyclecoboundary\(q\)-hypergeometric term\(q\)-factorial term

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (4)

An algorithmic approach to the \(q\)-summability problem of bivariate rational functions ⋮ Foreword to the special issue ⋮ On the existence of telescopers for rational functions in three variables ⋮ Efficient \(q\)-integer linear decomposition of multivariate polynomials

Cites Work

• Unnamed Item
• Applicability of the \(q\)-analogue of Zeilberger's algorithm
• A Modified Abramov-Petkovsek Reduction and Creative Telescoping for Hypergeometric Terms
• New Bounds for Hypergeometric Creative Telescoping
• Theory of prehomogeneous vector spaces (algebraic part)—the English translation of Sato’s lecture from Shintani’s note
• General hypergeometric systems of equations and series of hypergeometric type
• Picard--Vessiot extensions for linear functional systems

This page was built for publication: The Ore-Sato theorem and shift exponents in the \(q\)-difference case