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This article is cited in 6 scientific papers (total in 6 papers)
On the transcendence and algebraic independence of the values of certain entire functions
V. A. Oleinikov
Abstract:
In this paper we establish a criterion for the differential irreducibility of a general algebraic differential equation. We apply the results that are obtained to prove the transcendence and algebraic independence of the values at algebraic points of a collection of $E$-functions satisfying linear differential equations with polynomial coefficients.
Received: 23.07.1966
Citation:
V. A. Oleinikov, “On the transcendence and algebraic independence of the values of certain entire functions”, Izv. Akad. Nauk SSSR Ser. Mat., 32:1 (1968), 63–92; Math. USSR-Izv., 2:1 (1968), 61–87
Linking options:
https://www.mathnet.ru/eng/im2693https://doi.org/10.1070/IM1968v002n01ABEH000631 https://www.mathnet.ru/eng/im/v32/i1/p63
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Abstract page: | 253 | Russian version PDF: | 88 | English version PDF: | 5 | References: | 36 | First page: | 1 |
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