Abstract
The main goal of this paper is to describe certain convergence properties of the exponential general basic sets of polynomials of several complex variables {E-P(m)(z)} = {exp(P-m(z))}; z = (z(1), z(2), ..., z(k)). It is pointed out that under certain conditions on the matrix of coefficients of the original basic set {P-m(z)}, we prove that the associated basic set {E-P(m)(z)} has similar convergence properties to those of {P-m(z)}. The growth order of the exponential general set of polynomials of z is clarified also.