Abstract
We obtain coefficients characterizations of generalized lower order lambda(m)(f, alpha, beta) of entire transcendental functions f of m several complex variables m >= 2 for generalized growth in terms of the sequence of best polynomial approximations of f in the Hardy Banach spaces H-q(U-m) and in the Banach spaces B-m(p, q, eta). The presented results are extensions of investigations made by Vakarchuk and Zhir [17-21] and by Goldberg and Shah [4,13] to the multidimensional case.