Geodesic
On~the algebraic irreducibility of the set of linear differential equations
Izvestiya. Mathematics , Tome 26 (1986) no. 1, pp. 185-200.

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The set of linear differential equations of prime order with coefficients in $\mathbf C(z)$ is shown to be algebraically irreducible. This result is used to prove that the values of hypergeometric $E$-functions at the set of algebraic points are algebraically independent. Bibliography: 15 titles. 
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V. Kh. Salikhov. On~the algebraic irreducibility of the set of linear differential equations. Izvestiya. Mathematics , Tome 26 (1986) no. 1, pp. 185-200. http://geodesic.mathdoc.fr/item/IM2_1986_26_1_a6/

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