Generalized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series

In this paper, we introduce the idea of generalized Ritt type and generalised Ritt weak type of entire functions represented by a vector valued Dirichlet series. Hence, we study some growth properties of two entire functions represented by a vector valued Dirichlet series on the basis of generalized Ritt type and generalised Ritt weak type.

Keywords:

Vector valued Dirichlet series (VVDS) , Generalized Ritt order , Generalized Ritt lower order , Generalized Ritt-type , Generalized Ritt weak type , Growth