@Article{ATA-30-136,
author = {},
title = {A Complement to the Valiron-Titchmarsh Theorem for Subharmonic Functions},
journal = {Analysis in Theory and Applications},
year = {2014},
volume = {30},
number = {1},
pages = {136--140},
abstract = {<p style="text-align: justify;">The Valiron-Titchmarsh theorem on asymptotic behavior of entire functions with negative zeros has been recently generalized onto subharmonic functions with the Riesz measure on a half-line in $\mathbb{R}^n$, $n\geq 3$. Here we extend the Drasin complement to the Valiron-Titchmarsh theorem and show that if $u$ is a subharmonic function of this class and of order $0&lt;\rho&lt;1$, then the existence of the limit $\lim_{r \to \infty} \log u(r)/N(r),$ where $N(r)$ is the integrated counting function of the masses of $u$, implies the regular asymptotic behavior for both $u$ and its associated measure.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2014.v30.n1.10},
url = {http://global-sci.org/intro/article_detail/ata/4479.html}
}