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

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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.

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  1. Shevchenko Kiev National University, Kiev, Ukraine

    A. A. Mokhon'ko

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  1. A. A. Mokhon'ko
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 4, pp. 505–513, April, 2005.

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Mokhon'ko, A.A. On the Malmquist Theorem for Solutions of Differential Equations in the Neighborhood of an Isolated Singular Point. Ukr Math J 57, 610–620 (2005). https://doi.org/10.1007/s11253-005-0214-7

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  • DOI: https://doi.org/10.1007/s11253-005-0214-7

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