Boundedness of $l$-index and completely regular growth of entire functions

• Date: 2020
• Main Authors: Bandura, A. I., Skaskiv, O. B., Бандура, А. І., Скасків, О. Б., Скаскив, Олег
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1048
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.547.22  We study relations between the class of entire functions of order $\rho$ and of completely regular growth and the class of entire functions of bounded $l$-index, where $l(z)=|z|^{\rho-1}+1$ for $|z|\ge 1.$ Possible applications of these functions in the anal...