On the Regular Variation of Main Characteristics of an Entire Function

• Date: 2003
• Main Authors: Filevych, P. V., Sheremeta, M. M., Філевич, П. В., Шеремета, М. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3958
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish a necessary and sufficient condition for the coefficients a n of an entire function \(f(z) = \sum {_{n = 0}^\infty } {\text{ }}a_n z^n \) under which its central index and the logarithms of the maximum of the modulus and the maximum term are regularly varying functions. We construct...