On the order of growth of solutions of algebraic differential equations

Assume that $f$ is an integer transcendental solution of the differential equation $P_n(z,f,f′)=P_{n−1}(z,f,f′,...,f(p))),$ $P_n, P_{n−1}$ are polynomials in all the variables, the order of $P_n$ with respect to $f$ and $f′$ is equal to $n$, and the order of $P_{n−1}$ with respect to $f, f′, ... f(p...

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Bibliographic Details
Date:1999
Main Authors: Mokhonko, A. Z., Mokhonko, V. D., Мохонько, А. З., Мохонько, В. Д.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1999
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4584
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal