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

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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.

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Authors and Affiliations

  1. Shevchenko Kiev National University, Kiev

    A. A. Mokhon’ko

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  1. A. A. Mokhon’ko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 4, pp. 476–483, April, 2004.

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Mokhon’ko, A.A. Malmquist theorem for solutions of differential equations in a neighborhood of a logarithmic singular point. Ukr Math J 56, 577–585 (2004). https://doi.org/10.1007/s11253-005-0004-2

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  • DOI: https://doi.org/10.1007/s11253-005-0004-2

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