2017
Том 69
№ 7

All Issues

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

Mostova M. R., Zabolotskii N. V.


Abstract

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 $F$.

Citation Example: Mostova M. R., Zabolotskii N. V. Sufficient conditions for the existence of the $\upsilon$ -density for zeros of entire function of order zero // Ukr. Mat. Zh. - 2016. - 68, № 4. - pp. 506-516.