A generalization of the Lindelöf theorem

• Date: 1998
• Main Authors: Zabolotskii, N. V., Sheremeta, M. M., Заболоцький, М. В., Шеремета, М. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4834
• Journal Title: 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...