Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables

Document Type: Research Paper

Authors

1 Department of Mathematics, Visva-Bharati, Santiniketan- 731235, India

2 Ballavpur R.G.S.Vidyapith, Ballavpur-713323, Raniganj, India

Abstract

In this paper, we introduce the idea of relative order and type of entire functions represented by Banach valued Dirichlet series of two complex variables to generalize some earlier results. Proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by Dirichlet series is the same as that of its partial derivative.

Keywords