Ukrainian Mathematical Journal

, Volume 56, Issue 4, pp 577–585 | Cite as

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

  • A. A. Mokhon’ko


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.


Differential Equation Singular Point Logarithmic Singularity Meromorphic Solution Malmquist Theorem 
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Copyright information

© Springer Science+Business Media, Inc. 2004

Authors and Affiliations

  • A. A. Mokhon’ko
    • 1
  1. 1.Shevchenko Kiev National UniversityKiev

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