Deficiency Values for the Solutions of Differential Equations with Branching Point

• Date: 2014
• Main Authors: Mokhonko, A. Z., Mokhonko, A. A., Мохонько, А. З., Мохонько, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2190
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the distribution of values of the solutions of an algebraic differential equation P(z, f, f′, . . . , f (s)) = 0 with the property that its coefficients and solutions have a branching point at infinity (e.g., a logarithmic singularity). It is proved that if a ∈ ℂ is a deficiency value of f...