Geodesic
On~the irrationality of the values of hypergeometric functions
Sbornik. Mathematics, Tome 55 (1986) no. 1, pp. 243-257

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This paper investigates the arithmetic properties of the values of certain hypergeometric functions at points in an imaginary quadratic field $\mathbf I $. Under certain conditions it is proved that these values are linearly independent over $\mathbf I $. An effective lower bound is given for a linear form, which contains the maximum modulus of its coefficients. An estimate is also given which depends on the bounds within which each of the coefficients varies. Bibliography: 11 titles. 
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     author = {V. N. Sorokin},
     title = {On~the irrationality of the values of hypergeometric functions},
     journal = {Sbornik. Mathematics},
     pages = {243--257},
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     volume = {55},
     number = {1},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1986_55_1_a14/}
}
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V. N. Sorokin. On~the irrationality of the values of hypergeometric functions. Sbornik. Mathematics, Tome 55 (1986) no. 1, pp. 243-257. http://geodesic.mathdoc.fr/item/SM_1986_55_1_a14/