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.
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Translated from Matematicheskie Zametki, Vol. 13, No. 1, pp. 29–40, January, 1973.
In conclusion the author wishes to express his sincere gratitude to A. B. Shidlovskii for formulating the problem and for constant attention to the paper.
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Salikhov, V.K. The algebraic independence of the values of E-functions satisfying linear first-order differential equations. Mathematical Notes of the Academy of Sciences of the USSR 13, 19–25 (1973). https://doi.org/10.1007/BF01093623
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DOI: https://doi.org/10.1007/BF01093623