A counterexample to the Arakelyan Conjecture
Alexandre Erëmenko
Abstract
A ``self--similar'' example is constructed that shows that a conjecture of N. U. Arakelyan on the order of decrease of deficiencies of an entire function of finite order is not true.
Create a lesson
Related papers
A property of boundary extensions of atomic singular inner functions
Iason Efraimidis, Adrian Llinares, Sullivan MacDonald et al.
Entire solutions of a special binomial differential equation
Dong-hai Zhao, Jie Zhang, Liang-wen Liao
Holomorphic flexibility properties of strongly commuting varieties
Stefano Giannini
A convolution inequality and the Krzyż conjecture
Sullivan Francis MacDonald
Quasiconformal distortion of the lower dimension and applications
Efstathios Konstantinos Chrontsios Garitsis, Jeremy T. Tyson
Regularity of geodesics in the spaces of convex and plurisubharmonic functions III
Soufian Abja, Slawomir Dinew