Asymptotics of the logarithmic derivative of an entire function of zero order

• Date: 1999
• Main Authors: Zabolotskii, N. V., Заболоцький, М. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1999
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4580
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We find asymptotic formulas for the logarithmic derivative of a zero-order entire functionf whose zeros have an angular density with respect to the comparison function $v(r) = r^{\lambda(r)}$, where $λ(r)$ is the zero proximate order of the counting function $n(r)$ of zeros of $f$.