On Relative Order and Relative Type of an Entire Function Represented by Dirichlet Series

In this paper we have introduced relative type Tg(f) of an entire function f represented by Dirichlet Series relative to another entire function grepresented by Dirichlet series. We obtained formulas for Tg(f) in terms of maximum modulus function as well as in terms of coefficients and exponents of the series. We have also found out a property of the relative type of sum and difference of two functions. We obtained a relation between Tg(f), T(f) and T(g) where T(f) and T(g) are classical type of f and g respectively. We have established a relation connecting Tg(f), ρg(f), ρ(f), ρ(g) where ρg(f) is the relative order of f relative to g and ρ(f), ρ(g) are classical orders of f and g respectively.