On the Growth of Meromorphic Solutions of an Algebraic Differential Equation in a Neighborhood of a Logarithmic Singular Point |
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Authors: | Mokhon'ko A Z Mokhon'ko V D |
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Institution: | (1) L'vivs'ka Politekhnika National University, Lviv |
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Abstract: | We prove that if an analytic function f with an isolated singular point at is a solution of the differential equation P(zlnz, f, f ) = 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. |
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