Relative Gol’dberg Order and Type of Multiple Entire Dirichlet Series in Terms of Coefficients and Exponents

Abstract

This paper aims to define and characterize the relative Gol'dberg order and type of a multiple entire Dirichlet series with respect to another multiple entire Dirichlet series in terms of their coefficients and exponents. By using the definition, we study the growth properties of the Hadamard product between two such series.