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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، فروردین 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 | ||
| تاریخ دریافت: 20 آبان 1393، تاریخ بازنگری: 04 تیر 1394، تاریخ پذیرش: 11 تیر 1394 | ||
| 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 | ||
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