2018
Том 70
№ 7

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

Mokhon'ko O. A.

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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