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On the Siegel conjecture for second-order homogeneous linear differential equations

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Publication:1889634
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DOI10.1023/B:MATN.0000023333.36063.12zbMath1062.34096OpenAlexW2057076428WikidataQ123150627 ScholiaQ123150627MaRDI QIDQ1889634

V. A. Gorelov

Publication date: 6 December 2004

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

Full work available at URL: https://doi.org/10.1023/b:matn.0000023333.36063.12

zbMATH Keywords

\(E\)-functionsKummer functionssecond-order homogeneous linear differential equationsSiegel method


Mathematics Subject Classification ID

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) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)


Related Items

A note on $G$-operators of order $2$, Factors of \(E\)-operators with an \(\eta\)-apparent singularity at zero, Minimization of differential equations and algebraic values of 𝐸-functions, 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



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