This article is cited in 1 paper

Transcendence of the values of $E$-functions that are solutions of second order linear differential equations

A. B. Shidlovskii

M. V. Lomonosov Moscow State University

Abstract: The solution of the problem of transcendence of the values at algebraic points of $E$-functions that are solutions of second order homogeneous linear differential equations with coefficient in $\mathbb{C}(z)$ is completed in this article.

UDC: 511

MSC: Primary 11J85, 11J81; Secondary 11J91, 11J82

Received: 24.04.1992

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1994, 79:1, 63–71

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