A generalization of the Lindelöf theorem

• Datum: 1998
• Hauptverfasser: Zabolotskii, N. V., Sheremeta, M. M., Заболоцький, М. В., Шеремета, М. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4834
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We present a generalization of the Lindelöf theorem on conditions that should be imposed on the coefficients of the Taylor series of an entire transcendental function ƒ in order that the relation \(ln M_f (r) - \tau r^\rho , r \to \infty , M_f (r) = \max \left\{ {\left| {f(r)} \right|:|z| = r} \ri...