On Galochkin's characterization of hypergeometric \(G\)-functions

DOI10.2140/moscow.2022.11.11zbMath1505.33005OpenAlexW4221035073MaRDI QIDQ2121974

Tanguy Rivoal

Publication date: 5 April 2022

Published in: Moscow Journal of Combinatorics and Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/moscow.2022.11.11

zbMATH Keywords

\(G\)-functiongeneralized hypergeometric seriesFuchsian differential equations

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Generalized hypergeometric series, ({}_pF_q) (33C20) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (1)

Linear Forms in Polylogarithms

Cites Work

• On a criterion for Siegel's hypergeometric functions to belong. to the class of E-functions
• Gevrey series of arithmetic type. I: Purity and duality theorems
• Gevrey series of arithmetic type. II: Transcendence without transcendence
• Linear independence of values of \(G\)-functions
• An Introduction to "G"-Functions. (AM-133)
• Unnamed Item

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