Exploring general Apéry limits via the Zudilin–Straub t-transform

DOI10.1080/10236198.2022.2159817OpenAlexW4313269121MaRDI QIDQ5883874

Robert Dougherty-Bliss, Doron Zeilberger

Publication date: 17 March 2023

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

Full work available at URL: https://arxiv.org/abs/2205.13601

zbMATH Keywords

convergence accelerationDiophantine approximationpolynomial coefficientslinear difference equationsApéry limits

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Recurrences (11B37) Linear difference equations (39A06)

Uses Software

• MultiZeilberger
• PADE
• AperyWZ
• AperyRecurrence
• AperyAcc
• AperyAppx

Cites Work

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• Automatic discovery of irrationality proofs and irrationality measures
• Apéry Limits: Experiments and Proofs
• Advanced applications of the holonomic systems approach