V. A. Gorelov, “On the Siegel Conjecture for Second-Order Homogeneous Linear Differential Equations”, Mat. Zametki, 75:4 (2004), 549–565; Math. Notes, 75:4 (2004), 513

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Matematicheskie Zametki, 2004, Volume 75, Issue 4, Pages 549–565
DOI: https://doi.org/10.4213/mzm51 (Mi mzm51)

This article is cited in 7 scientific papers (total in 7 papers)

On the Siegel Conjecture for Second-Order Homogeneous Linear Differential Equations

V. A. Gorelov

Moscow Power Engineering Institute (Technical University)

Full-text PDF (262 kB) Citations (7)

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DOI: https://doi.org/10.4213/mzm51

Abstract: The structure of the set of

E

$E$ -functions satisfying second-order homogeneous linear differential equations with coefficients from

${\mathbb C} (z)$ is described.

Received: 21.06.2002

English version:
Mathematical Notes, 2004, Volume 75, Issue 4, Pages 513–529
DOI: https://doi.org/10.1023/B:MATN.0000023333.36063.12

Bibliographic databases:

UDC: 511.36

Language: Russian

Citation: V. A. Gorelov, “On the Siegel Conjecture for Second-Order Homogeneous Linear Differential Equations”, Mat. Zametki, 75:4 (2004), 549–565; Math. Notes, 75:4 (2004), 513–529

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm51

https://doi.org/10.4213/mzm51

https://www.mathnet.ru/eng/mzm/v75/i4/p549

This publication is cited in the following 7 articles:

V. A. Gorelov, “On Algebraic Properties of Integrals of Products of Some Hypergeometric Functions”, Math. Notes, 115:2 (2024), 173–181
Alin Bostan, Tanguy Rivoal, Bruno Salvy, “Minimization of differential equations and algebraic values of 𝐸-functions”, Math. Comp., 93:347 (2023), 1427
Tanguy RIVOAL, “Factors of $E$ -operators with an $\eta$ -apparent singularity at zero”, J. Math. Soc. Japan, 74:3 (2022)
T. Rivoal, J. Roques, Springer Proceedings in Mathematics & Statistics, 373, Transcendence in Algebra, Combinatorics, Geometry and Number Theory, 2021, 473
Javier Fresán, Peter Jossen, “A non-hypergeometric E-function”, Ann. of Math. (2), 194:3 (2021)
V. A. Gorelov, “On the weakened Siegel's conjecture”, J. Math. Sci., 146:2 (2007), 5649–5654
V. A. Gorelov, “On the Structure of the Set of $E$ -Functions Satisfying Linear Differential Equations of Second Order”, Math. Notes, 78:3 (2005), 304–319

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	398
Full-text PDF :	202
References:	65
First page:	1

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