This article is cited in 14 papers

On arithmetic properties of the values of hypergeometric functions

P. L. Ivankov


Abstract: The author proposes an effective method of constructing a linear approximating form for a hypergeometric function of general type and its derivatives, which has a zero of the maximal possible order at $z=0$. This construction is applied to the study of arithmetic properties of values of these functions at points of an imaginary quadratic field.

UDC: 511.361

MSC: Primary 11J91; Secondary 11J13

Received: 18.12.1987 and 22.10.1990

 English version: Mathematics of the USSR-Sbornik, 1992, 72:1, 267–286

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