Geodesic
On the Structure of the Set of $E$-Functions Satisfying Linear Differential Equations of Second Order
Matematičeskie zametki, Tome 78 (2005) no. 3, pp. 331-348.

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We prove a special case of Siegel's conjecture concerning the representability of $E$-functions in the form of polynomials in hypergeometric functions. We prove several assertions (formulated earlier by A. B. Shidlovskii) about the transcendence and linear independence of values of $E$-functions. 
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V. A. Gorelov. On the Structure of the Set of $E$-Functions Satisfying Linear Differential Equations of Second Order. Matematičeskie zametki, Tome 78 (2005) no. 3, pp. 331-348. http://geodesic.mathdoc.fr/item/MZM_2005_78_3_a1/

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