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On the Growth of Meromorphic Solutions of an Algebraic Differential Equation in a Neighborhood of a Logarithmic Singular Point
Authors:Mokhon'ko  A Z  Mokhon'ko  V D
Institution:(1) ldquoL'vivs'ka Politekhnikardquo National University, Lviv
Abstract:We prove that if an analytic function f with an isolated singular point at infin is a solution of the differential equation P(zlnz, f, fprime) = 0, where P is a polynomial in all variables, then f has finite order. We study the asymptotic properties of a meromorphic solution with logarithmic singularity.
Keywords:
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