2017
Том 69
№ 9

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Malmquist theorem for solutions of differential equations in a neighborhood of a logarithmic singular point

Mokhon'ko O. A.

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Abstract

The Malmquist theorem (1913) on the growth of meromorphic solutions of the differential equation f ′ = P(z,f) / Q(z,f), where P(z,f) and Q(z,f) are polynomials in all variables, is proved for the case of meromorphic solutions with logarithmic singularity at infinity.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 4, pp 577-585.

Citation Example: Mokhon'ko O. A. Malmquist theorem for solutions of differential equations in a neighborhood of a logarithmic singular point // Ukr. Mat. Zh. - 2004. - 56, № 4. - pp. 476–483.

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