Geodesic
Algebraic independence of values of E-functions, satisfying arbitrary algebraic equations over $\mathbb C(z)$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 751-755.

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An effective analog of Shidlovskii's third theorem about algebraic independence of values of E-functions, satisfying system of linear differential equations has been obtained. 
@article{FPM_1998_4_2_a19,
     author = {V. A. Gorelov},
     title = {Algebraic independence of values of {E-functions,} satisfying arbitrary algebraic equations over $\mathbb C(z)$},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {751--755},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a19/}
}
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V. A. Gorelov. Algebraic independence of values of E-functions, satisfying arbitrary algebraic equations over $\mathbb C(z)$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 751-755. http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a19/