A Study of the Growth Results for the Hadamard Product of Several Dirichlet Series with Different Growth Indices

In this paper, our first purpose is to describe a class of phenomena involving the growth in Hadamard–Kong product several Dirichlet series with different indices. We prove that (i) order determined by smaller indices if these have indices; (ii) q1-type equal zero p are qj-regular growth, and q1<q2<⋯<qp, qj∈N+, j=1,2,…,p. The second reveal properties two series—when one finite order, other logarithmic order—and obtain relationships between Dirchlet concerning type, etc. Finally, some examples given show results best possible.