Arithmetic properties of generalized hypergeometric \(F\)-series

DOI10.1134/S106456241807013XzbMath1432.11083OpenAlexW2917440391MaRDI QIDQ5915970

Vladimir G. Chirskii

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1134/s106456241807013x

zbMATH Keywords

elements generated by generalized hypergeometric seriesinfinite algebraic independence

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91)

Related Items (5)

Arithmetic properties of values at polyadic Liouville points of Euler-type series with polyadic Liouville parameter ⋮ Infinite linear independence with constraints on a subset of prime numbers for values of Euler-type series with polyadic Liouville parameter ⋮ Infinite algebraic independence of some almost polyadic numbers ⋮ Arithmetic properties of generalized hypergeometric \(F\)-series ⋮ Product formula, global relations, and polyadic numbers

Cites Work

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• On the arithmetic properties of generalized hypergeometric series with irrational parameters
• Arithmetic properties of polyadic series with periodic coefficients

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