On combinatorial and hypergeometric approaches toward second-order difference equations

DOI10.1016/j.disc.2024.114316MaRDI QIDQ6646431

John Maxwell Campbell

Publication date: 2 December 2024

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

recurrencecontinued fractiondifference equationRamanujan machine

Mathematics Subject Classification ID

Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70) Continued fraction calculations (number-theoretic aspects) (11Y65) Linear difference equations (39A06)

Cites Work

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• Closed-form solutions of general second order linear recurrences and applications
• Symbolic summation assists combinatorics
• Polynomial continued fractions
• D-Finite Functions
• Automatic conjecturing and proving of exact values of some infinite families of infinite continued fractions
• A note on the remarkable expression of the number \(8/\pi^2\) that the Ramanujan machine discovered
• A unified approach to derive explicit solutions of generalized second-order linear recurrences and applications

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