On the Growth of the Maximum of the Modulus of an Entire Function on a Sequence

• Datum: 2002
• Hauptverfasser: Filevych, P. V., Філевич, П. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4154
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Let M f(r) and μf(r) be, respectively, the maximum of the modulus and the maximum term of an entire function f and let Φ be a continuously differentiable function convex on (−∞, +∞) and such that x = o(Φ(x)) as x → +∞. We establish that, in order that the equality \(\lim \inf \limits_{r \to + \inf...