On algebraic independence of some subclasses of hypergeometric functions

DOI10.1007/BF02110769zbMath0831.11038OpenAlexW2025085242MaRDI QIDQ1897222

Mikhail A. Cherepnev

Publication date: 24 September 1995

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02110769

zbMATH Keywords

algebraic independencevalues at algebraic pointshypergeometric \(E\)-functionsSiegel-Shidlovskij method

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91)

Related Items

On the algebraic properties of solutions of inhomogeneous hypergeometric equations ⋮ Algebraic independence of values of hypergeometric \(E\)-functions

Cites Work

• Siegel normality
• Неприводимость гипергеометрических уравнений и алгебраическая независимость значений E-функций
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