Wiman-type inequality in multiple-circular domains: Lévy’s phenomenon and exceptional sets

• Datum: 2022
• Hauptverfasser: Kuryliak, A. O., Skaskiv , O. B., Куриляк , А. О., Скасків , О. Б.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2022
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/7137
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

УДК 517.555 For the classical Wiman inequality $M_f(r)\leq\mu_f(r)(\ln\mu_f(r))^{1/2+\varepsilon},$ $\varepsilon>0,$ with entire functions $f(z)=\displaystyle \sum\nolimits _{n=0}^{+\infty}a_nz^n,$ $z\in {\mathbb C},$ which holds outside a set of finite logarithmic measure, P. L${\rm\acut...