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

	Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables
International Journal of Nonlinear Analysis and Applications
مقاله 1، دوره 7، شماره 1، 2016، صفحه 1-14 اصل مقاله (371.52 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2016.288
نویسندگان
Dibyendu Banerjee^* ¹؛ Nilkanta Mondal²
¹Department of Mathematics, Visva-Bharati, Santiniketan- 731235, India
²Ballavpur R.G.S.Vidyapith, Ballavpur-713323, Raniganj, India
چکیده
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.
کلیدواژه‌ها
Banach valued Dirichlet series؛ relative order؛ relative type؛ Entire function
آمار تعداد مشاهده مقاله: 19,481 تعداد دریافت فایل اصل مقاله: 15,949

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