Malmquist Theorem for the Solutions of Differential Equations in the Vicinity of a Branching Point
An analog of the Malmquist theorem on the growth of 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 where the coefficients and solutions of this equation have a branching point in infinity (e.g., a logarithmic singularity).
English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 9, pp 1442-1447.
Citation Example: Mokhon'ko A. Z., Mokhon'ko O. A. Malmquist Theorem for the Solutions of Differential Equations in the Vicinity of a Branching Point // Ukr. Mat. Zh. - 2014. - 66, № 9. - pp. 1286–1290.