The Semi-Difference Entire Sequence Space 𝑐𝑠∩𝑑1
Let Γ denote the space of all entire sequences. Let Λ denote the space of all analytic sequences. In this paper, we introduce a new class of sequence space, namely, the semi-difference entire sequence space 𝑐𝑠∩𝑑1. It is shown that the intersection of all semi-difference entire sequence spaces 𝑐𝑠∩𝑑1...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/143974 |
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| author | N. Subramanian K. Chandrasekhara Rao K. Balasubramanian |
| author_facet | N. Subramanian K. Chandrasekhara Rao K. Balasubramanian |
| author_sort | N. Subramanian |
| collection | DOAJ |
| description | Let Γ denote the space of all entire sequences. Let Λ denote the space of
all analytic sequences. In this paper, we introduce a new class of sequence space, namely,
the semi-difference entire sequence space 𝑐𝑠∩𝑑1. It is shown that the intersection of all semi-difference entire sequence spaces 𝑐𝑠∩𝑑1 is 𝐼⊂𝑐𝑠∩𝑑1 and Γ(Δ)⊂𝐼. |
| format | Article |
| id | doaj-art-90dd8146b0a84da9bfbada8ed7aa7c39 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-90dd8146b0a84da9bfbada8ed7aa7c392025-08-20T02:10:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/143974143974The Semi-Difference Entire Sequence Space 𝑐𝑠∩𝑑1N. Subramanian0K. Chandrasekhara Rao1K. Balasubramanian2Department of Mathematics, SASTRA University, Thanjavur 613 401, IndiaSrinivasa Ramanujan Centre, SASTRA University, Kumbakonam 612 001, IndiaDepartment of Mathematics, SASTRA University, Thanjavur 613 401, IndiaLet Γ denote the space of all entire sequences. Let Λ denote the space of all analytic sequences. In this paper, we introduce a new class of sequence space, namely, the semi-difference entire sequence space 𝑐𝑠∩𝑑1. It is shown that the intersection of all semi-difference entire sequence spaces 𝑐𝑠∩𝑑1 is 𝐼⊂𝑐𝑠∩𝑑1 and Γ(Δ)⊂𝐼.http://dx.doi.org/10.1155/2011/143974 |
| spellingShingle | N. Subramanian K. Chandrasekhara Rao K. Balasubramanian The Semi-Difference Entire Sequence Space 𝑐𝑠∩𝑑1 International Journal of Mathematics and Mathematical Sciences |
| title | The Semi-Difference Entire Sequence Space 𝑐𝑠∩𝑑1 |
| title_full | The Semi-Difference Entire Sequence Space 𝑐𝑠∩𝑑1 |
| title_fullStr | The Semi-Difference Entire Sequence Space 𝑐𝑠∩𝑑1 |
| title_full_unstemmed | The Semi-Difference Entire Sequence Space 𝑐𝑠∩𝑑1 |
| title_short | The Semi-Difference Entire Sequence Space 𝑐𝑠∩𝑑1 |
| title_sort | semi difference entire sequence space 𝑐𝑠∩𝑑1 |
| url | http://dx.doi.org/10.1155/2011/143974 |
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