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

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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Bibliographic Details
Date:	2003
Main Authors:	Mokhonko, A. Z., Мохонько, А. З.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2003
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4019
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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