In this paper, there are obtained growth estimates of entire in $\mathbb{C}^n$ function of bounded $\mathbf{L}$-index in joint variables.They describe the behavior of maximum modulus of entire function on a skeleton in a polydisc by behavior of the function $\mathbf{L}(z)=(l_1(z),\ldots,l_n(z)),$ where for every $j\in\{1,\ldots, n\}$ \ $l_j:\mathbb{C}^n\to \mathbb{R}_+$ is a continuous function.We generalized known results of W. K. Hayman, M. M. Sheremeta, A. D. Kuzyk and M. T. Borduyakfor a wider class of functions $\mathbf{L}.$ One of our estimates is sharper even for entire in $\mathbb{C}$ functions of bounded $l$-index than Sheremeta's estimate.
@article{6997,
title = {Asymptotic estimates of entire functions of bounded L-index in joint variables},
journal = {Novi Sad Journal of Mathematics},
volume = {48},
year = {2018},
language = {EN},
url = {http://dml.mathdoc.fr/item/6997}
}
Bandura, Andriy; Skaskiv, Oleh. Asymptotic estimates of entire functions of bounded L-index in joint variables. Novi Sad Journal of Mathematics, Tome 48 (2018) . http://gdmltest.u-ga.fr/item/6997/