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Simultaneous Approximations with Regard to the Specific Character of the Homogeneous Case
Authors:P. L. Ivankov
Affiliation:(1) N. É. Bauman Moscow State Technical University, Russia
Abstract:
In this paper we construct simultaneous approximations of generalized hypergeometric functions with irrational parameters satisfying homogeneous differential equations. This construction is applied to the study of the arithmetical nature of the values of such functions.
Keywords:generalized hypergeometric functions  simultaneous approximations  estimates of linear forms  quadratic fields
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