This article is cited in 4 papers

On differential irreducibility of a class of differential equations

V. Kh. Salikhov


Abstract: In this paper a method is developed for proving algebraic independence of the solutions of linear differential equations. The result is applied to prove algebraic independence of the values at an algebraic point of a class of $E$-functions.
Bibliography: 9 titles.

UDC: 511.8

MSC: Primary 34A30, 10F35; Secondary 30B40

Received: 21.02.1979

 English version: Mathematics of the USSR-Izvestiya, 1981, 16:1, 165–189

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