\(k\)-free recurrences of double hypergeometric terms

DOI10.1016/S0196-8858(03)00056-3zbMath1057.33018MaRDI QIDQ1883403

Qing-Hu Hou

Publication date: 12 October 2004

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

holonomic functionhypergeometric term\(k\)-free recurrence relationDouble hypergeometric termProper hypergeometric term

Mathematics Subject Classification ID

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

Related Items

Applicability of the \(q\)-analogue of Zeilberger's algorithm ⋮ Proof of the Wilf-Zeilberger conjecture for mixed hypergeometric terms ⋮ A telescoping method for double summations

Cites Work

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• An algorithmic proof theory for hypergeometric (ordinary and ``\(q\)) multisum/integral identities
• A holonomic systems approach to special functions identities
• An extension of Zeilberger's fast algorithm to general holonomic functions
• Theory of prehomogeneous vector spaces (algebraic part)—the English translation of Sato’s lecture from Shintani’s note
• Decision procedure for indefinite hypergeometric summation

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