Abstract
In the present paper, the coefficients characterizations of generalized type
of entire transcendental functions
of several complex variables
(
for slow growth have been obtained in terms of the sequence of best polynomial approximations of
in the Hardy Banach spaces
and in the Banach spaces
.
The presented work is the extension and refinement of the corresponding assertions made by Vakarchuk and Zhir [
,
,
,
,
,
], Gol’dberg [
] and Sheremeta [
,
] to the multidimensional case.