On the Growth of Meromorphic Solutions of an Algebraic Differential Equation in a Neighborhood of a Logarithmic Singular Point

被引：0
|
作者：
A. Z. Mokhon'ko
V. D. Mokhon'ko
机构：
[1] “L'vivs'ka Politekhnika” National University,
来源：
Ukrainian Mathematical Journal | 2003年 / 55卷 / 11期
关键词：
Differential Equation; Analytic Function; Singular Point; Asymptotic Property; Finite Order;
D O I：
10.1023/B:UKMA.0000027043.58126.2e
中图分类号：
学科分类号：
摘要：
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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页码：1793 / 1809
页数：16
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