On the differential transcendentality of the Morita \(p\)-adic gamma function

DOI10.1007/s40879-023-00602-7OpenAlexW3200361212MaRDI QIDQ2688846

Elżbieta Sowa-Adamus

Publication date: 6 March 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.11448

zbMATH Keywords

\(p\)-adic gamma functionHölder's theoremanalog of gamma functiondifferentially transcendental function

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Differential algebra (12H05)

Cites Work

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• Real and \(p\)-adic Picard-Vessiot fields
• Real Liouvillian extensions of partial differential fields
• Picard-Vessiot Extensions of Real Differential Fields
• Real Liouville Extensions
• Topological Galois Theory
• Algebraic Groups and Algebraic Dependence

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