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

  • N. V. Zabolotskii

Abstract

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 $f$.
Published
25.01.1999
How to Cite
ZabolotskiiN. V. “Asymptotics of the Logarithmic Derivative of an Entire Function of Zero Order”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 1, Jan. 1999, pp. 32–40, https://umj.imath.kiev.ua/index.php/umj/article/view/4580.
Section
Research articles