Sufficient conditions for the existence of the $\upsilon$ -density for zeros of entire function of order zero

• Date: 2016
• Main Authors: Zabolotskii, N. V., Mostova, M. R., Заболоцький, М. В., Мостова, М. Р.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1856
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We select the subclasses of zero-order entire functions $f$ for which we present sufficient conditions for the existence of $\upsilon$ -density for zeros of $f$ in terms of the asymptotic behavior of the logarithmic derivative F and regular growth of the Fourier coefficients of $F$.