Directional logarithmic derivative and the distribution of zeros of an entire function of bounded $L$-index in the direction

• Datum: 2017
• Hauptverfasser: Bandura, A. І., Skaskiv, O. B., Бандура, А. І., Скасків, О. Б.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1706
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish new criteria of boundedness of the $L$-index in the direction for entire functions in $C^n$. These criteria are formulated as estimate of the maximum modulus via the minimum modulus on a circle and describe the distribution of their zeros and the behavior of the directional logarithmic...