Relative Gol'dberg Order and Type of Multiple Entire Dirichlet Series in Terms of Coeffcients and Exponents

Abstract

This paper aims to dene 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 coecients and exponents. By using the denition, we study the growth properties of the Hadamard product between two such series.