Criteria for the regularity of growth of the logarithm of modulus and the argument of an entire function

• Date: 2010
• Main Authors: Bodnar, O. V., Zabolotskii, N. V., Боднар, О. В.., Заболоцький, М. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2922
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For entire functions whose zero counting functions are slowly increasing, we establish criteria for the regular growth of their logarithms of moduli and arguments in the metric of $L^p [0, 2π]$.