On the Malmquist Theorem for Solutions of Differential Equations in the Neighborhood of an Isolated Singular Point

• Date: 2005
• Main Authors: Mokhonko, A. A., Мохонько, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3617
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The statement of the Malmquist theorem (1913) about the growth of meromorphic solutions of the differential equation \(f' = \frac{{P(z,f)}}{{Q(z,f)}}\), where P(z, f) and Q(z, f) are polynomials in all variables, is proved in the case of solutions with isolated singular point at infinity.