Geodesic
Arithmetic properties of values of analytic functions connected by algebraic equations over fields of rational functions
Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 83-94.

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In this paper theorems are proved about the arithmetic character of the values at algebraic points of a collection of $G$-functions which constitute a solution of a system of linear differential equations with coefficients from $C(z)$ connected by algebraic equations over $C(z)$. In addition, the theorems on E-functions proved by A. B. Shidlovskii in 1962 are supplemented. 
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     author = {V. G. Chirskii},
     title = {Arithmetic properties of values of analytic functions connected by algebraic equations over fields of rational functions},
     journal = {Matemati\v{c}eskie zametki},
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}
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V. G. Chirskii. Arithmetic properties of values of analytic functions connected by algebraic equations over fields of rational functions. Matematičeskie zametki, Tome 14 (1973) no. 1, pp. 83-94. http://geodesic.mathdoc.fr/item/MZM_1973_14_1_a10/