Arithmetic properties of the values of hypergeometric functions with different parameters (Q1324926)

Based on his effective construction of a system of linear approximating forms [Mat. Sb. 182, No. 2, 282-302 (1991; Zbl 0724.11036)] the author gives estimates for the lower bound of linear forms of the values of hypergeometric functions with various parameters. The results are too complicated to state here. The results are more accurate than those deduced from the general results obtained by \textit{A. B. Shidlovskij} using the Siegel method \ [J. Aust. Math. Soc., Ser. A 27, 385-407 (1979; Zbl 0405.10024)].