Geodesic
Algebraic independence of values of a certain class of hypergeometric functions
Matematičeskie zametki, Tome 59 (1996) no. 3, pp. 402-414 
V. A. Kulagin. Algebraic independence of values of a certain class of hypergeometric functions. Matematičeskie zametki, Tome 59 (1996) no. 3, pp. 402-414. http://geodesic.mathdoc.fr/item/MZM_1996_59_3_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We prove a general theorem on the algebraic independence of values of hypergeometric $E$-functions and their successive derivatives at algebraic points for the “degenerate” case in which substantial cancellations occur in numerators and denominators of coefficients of the series in powers of $z$ of the functions considered.

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