Representation of hypergeometric products in difference rings

DOI10.1145/3055282.3055290zbMath1365.12004OpenAlexW2592058106MaRDI QIDQ5268821

Evans Doe Ocansey, Carsten Schneider

Publication date: 21 June 2017

Published in: ACM Communications in Computer Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/3055282.3055290

Mathematics Subject Classification ID

Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Difference algebra (12H10)

Related Items (2)

Representation of hypergeometric products of higher nesting depths in difference rings ⋮ Summation theory. II: Characterizations of \(R {\Pi}{\Sigma}^{\ast}\)-extensions and algorithmic aspects

Cites Work

• On the existence of telescopers for mixed hypergeometric terms
• A difference ring theory for symbolic summation
• Polynomial ring automorphisms, rational \((w,\sigma )\)-canonical forms, and the assignment problem
• Theory of summation in finite terms
• The method of creative telescoping
• Galois theory of difference equations
• Product representations in \(\Pi\Sigma\)-fields
• Multibasic and mixed hypergeometric Gosper-type algorithms
• Symbolic Summation in Difference Rings and Applications
• Summation in Finite Terms
• A procedure for proving special function inequalities involving a discrete parameter

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