Arithmetic properties of generalized hypergeometric \(F\)-series
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Publication:5918851
DOI10.1134/S106192082002003XzbMath1453.11097OpenAlexW3030522496MaRDI QIDQ5918851
Publication date: 2 June 2020
Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s106192082002003x
Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91)
Related Items (7)
Polyadic Liouville numbers ⋮ 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 ⋮ On polyadic Liouville numbers ⋮ Unnamed Item ⋮ Arithmetic properties of an Euler-type series with polyadic Liouville parameter ⋮ Arithmetic properties of Euler-type series with a Liouvillian polyadic parameter
Cites Work
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- Irrationality measures of the values of hypergeometric functions
- Неприводимость гипергеометрических уравнений и алгебраическая независимость значений E-функций
- G-fonctions et transcendance.
- On the arithmetic properties of generalized hypergeometric series with irrational parameters
- Арифметические свойства полиадических рядов с периодическими коэффициентами
- THE IRRATIONALITY OF THE VALUES OF CERTAIN TRANSCENDENTAL FUNCTIONS
- Arithmetic properties of generalized hypergeometric \(F\)-series
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