GROWTH PROPERTIES OF A CLASS OF ENTIRE DOUBLE DIRCHLET SEQUENCES

In this paper, we have defined the growth (order and type) of complex double sequences analogous to the respective definitions in the theory of integral functions represented by double Dirichlet series with fixed sequences {λ_m} and {μ_n} of exponents. We have considered a class P of entire double Dirchlet sequences (EDDS) and have examined their growth properties. Distribution of elements of P over the universal set U of all EDDS has been investigated and has been depicted by Venn diagram.