scientific article; zbMATH DE number 7310038

zbMath1455.11108MaRDI QIDQ5150376

P. L. Ivankov

Publication date: 15 February 2021

Full work available at URL: http://mathnet.ru/eng/cheb867

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

hypergeometric functionslinear independenceestimates of linear formsdifferentiation with respect to parameter

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Generalized hypergeometric series, ({}_pF_q) (33C20) Irrationality; linear independence over a field (11J72)

Cites Work

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• On the algebraic properties of solutions of inhomogeneous hypergeometric equations
• On the algebraic independence of values of generalized hypergeometric functions
• Criterion for the algebraic independence of values of hypergeometric \(E\)-functions (even case)
• Arithmetic properties of the values of hypergeometric functions with different parameters
• Algebraic independence of values of hypergeometric \(E\)-functions
• On the algebraic independence of the values of some E-functions
• Неприводимость гипергеометрических уравнений и алгебраическая независимость значений E-функций
• Applications of a theorem by A. B. Shidlovski

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