This article is cited in 7 papers

The algebraic independence of the values of $E$-functions satisfying linear first-order differential equations

V. Kh. Salikhov

M. V. Lomonosov Moscow State University, USSR

Abstract: In this paper we prove a general theorem on the algebraic independence of the values, at algebraic points, of a set of $E$-functions each of which satisfies a first-order linear differential equation with polynomial coefficients.

UDC: 511.8

Received: 04.11.1971

 English version: Mathematical Notes, 1973, 13:1, 19–25

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