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.
Banerjee, D., Mondal, N. (2016). Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables. International Journal of Nonlinear Analysis and Applications, 7(1), 1-14. doi: 10.22075/ijnaa.2016.288
MLA
Dibyendu Banerjee; Nilkanta Mondal. "Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables". International Journal of Nonlinear Analysis and Applications, 7, 1, 2016, 1-14. doi: 10.22075/ijnaa.2016.288
HARVARD
Banerjee, D., Mondal, N. (2016). 'Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables', International Journal of Nonlinear Analysis and Applications, 7(1), pp. 1-14. doi: 10.22075/ijnaa.2016.288
VANCOUVER
Banerjee, D., Mondal, N. Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables. International Journal of Nonlinear Analysis and Applications, 2016; 7(1): 1-14. doi: 10.22075/ijnaa.2016.288