Summations of linear recurrent sequences

DOI10.1080/10236198.2018.1443446zbMath1396.05012arXiv1710.11074OpenAlexW2964195307WikidataQ130195764 ScholiaQ130195764MaRDI QIDQ4580059

Andrew Lohr

Publication date: 13 August 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.11074

zbMATH Keywords

combinatoricslinear recurrencesexperimental mathematicssummation identitieshypergeometric summations

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Classical hypergeometric functions, ({}_2F_1) (33C05)

Uses Software

• OEIS
• MultiZeilberger
• Cfinite

Cites Work

• Unnamed Item
• Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharpening of Wilf-Zeilberger theory
• Resurrecting the asymptotics of linear recurrences
• Sister Celine's technique and its generalizations
• Binomial transforms of the \(k\)-Fibonacci sequence
• The \(C\)-finite ansatz
• Combinatorial sums and finite differences
• A Note on Pure Recurrence Relations

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