Factorial-type recurrence relations and $p$-adic incomplete gamma functions

DOI10.4064/aa221031-19-9arXiv2206.12726OpenAlexW4389633073MaRDI QIDQ6122152

Paul R. Buckingham

Publication date: 28 February 2024

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.12726

zbMATH Keywords

\(p\)-adic integral transform\(p\)-adic incomplete gamma functions

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Cites Work

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• \(p\)-adic incomplete gamma functions and Artin-Hasse-type series
• Diophantine approximation of the exponential function and Sondow's conjecture
• Sondow's conjecture, convergents to \(e\), and \(p\)-adic analytic functions
• Which Partial Sums of the Taylor Series for $e$ are Convergents to $e$? (and a Link to the Primes 2, 5, 13, 37, 463), II
• Interpolation $p$-adique
• Derangements and the 𝑝-adic incomplete gamma function

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