2017
Том 69
№ 6

All Issues

On the Malmquist Theorem for Solutions of Differential Equations in the Neighborhood of an Isolated Singular Point

Mokhon'ko O. A.

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Abstract

The statement of the Malmquist theorem (1913) about the growth of meromorphic solutions of the differential equation \(f' = \frac{{P(z,f)}}{{Q(z,f)}}\), where P(z, f) and Q(z, f) are polynomials in all variables, is proved in the case of solutions with isolated singular point at infinity.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 4, pp 610-620.

Citation Example: Mokhon'ko O. A. On the Malmquist Theorem for Solutions of Differential Equations in the Neighborhood of an Isolated Singular Point // Ukr. Mat. Zh. - 2005. - 57, № 4. - pp. 505–513.

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