2018
Том 70
№ 9

All Issues

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

Zabolotskii N. V.

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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 $f$.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 1, pp 34-43.

Citation Example: Zabolotskii N. V. Asymptotics of the logarithmic derivative of an entire function of zero order // Ukr. Mat. Zh. - 1999. - 51, № 1. - pp. 32–40.

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