Geodesic
On the transcendence and algebraic independence of the values of certain entire functions
Izvestiya. Mathematics , Tome 2 (1968) no. 1, pp. 61-87

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In this paper we establish a criterion for the differential irreducibility of a general algebraic differential equation. We apply the results that are obtained to prove the transcendence and algebraic independence of the values at algebraic points of a collection of $E$-functions satisfying linear differential equations with polynomial coefficients. 
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     author = {V. A. Oleinikov},
     title = {On the transcendence and algebraic independence of the values of certain entire functions},
     journal = {Izvestiya. Mathematics },
     pages = {61--87},
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     volume = {2},
     number = {1},
     year = {1968},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1968_2_1_a3/}
}
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V. A. Oleinikov. On the transcendence and algebraic independence of the values of certain entire functions. Izvestiya. Mathematics , Tome 2 (1968) no. 1, pp. 61-87. http://geodesic.mathdoc.fr/item/IM2_1968_2_1_a3/