Representing \((q-)\)hypergeometric products and mixed versions in difference rings

DOI10.1007/978-3-319-73232-9_8zbMath1405.33029arXiv1705.01368OpenAlexW2610427301MaRDI QIDQ1716153

Evans Doe Ocansey, Carsten Schneider

Publication date: 29 January 2019

Full work available at URL: https://arxiv.org/abs/1705.01368

zbMATH Keywords

algebraic independencesymbolic summationdifference ringshypergeometric products

Mathematics Subject Classification ID

Computational aspects of associative rings (general theory) (16Z05) Special functions in characteristic (p) (gamma functions, etc.) (33E50) Difference algebra (12H10)

Related Items (6)

Refined telescoping algorithms in RΠΣ -extensions to reduce the degrees of the denominators✱ ⋮ Representation of hypergeometric products of higher nesting depths in difference rings ⋮ Minimal representations and algebraic relations for single nested products ⋮ On rational and hypergeometric solutions of linear ordinary difference equations in \(\Pi\Sigma^\ast\)-field extensions ⋮ Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals

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