On the order of growth of solutions of algebraic differential equations

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...