On the structure of the set of \(E\)-functions satisfying linear differential equations of second order

DOI10.1007/s11006-005-0130-zzbMath1112.33013OpenAlexW2005202051MaRDI QIDQ2508692

V. A. Gorelov

Publication date: 20 October 2006

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

Full work available at URL: https://doi.org/10.1007/s11006-005-0130-z

zbMATH Keywords

hypergeometric functionlinear differential equationtranscendental numberentire analytic functionalgebraic number\(E\)-function

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) (q)-gamma functions, (q)-beta functions and integrals (33D05) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (4)

On Siegel's problem for \(E\)-functions ⋮ On the weakened Siegel's conjecture ⋮ A non-hypergeometric \(E\)-function ⋮ Siegel's problem for \(E\)-functions of order 2

Cites Work

• Gevrey series of arithmetic type. I: Purity and duality theorems
• Algebraic independence of the values of \(E\)-functions at singular points and Siegel's conjecture
• Unnamed Item

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