International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 143974, 6 pages
http://dx.doi.org/10.1155/2011/143974
Research Article

The Semi-Difference Entire Sequence Space 𝑐 𝑠 ∩ 𝑑 1

N. Subramanian,1 K. Chandrasekhara Rao,2 and K. Balasubramanian1

1Department of Mathematics, SASTRA University, Thanjavur 613 401, India
2Srinivasa Ramanujan Centre, SASTRA University, Kumbakonam 612 001, India

Received 24 November 2010; Accepted 7 February 2011

Academic Editor: Ricardo Estrada

Copyright © 2011 N. Subramanian et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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 𝑐 𝑠 ∩ 𝑑 1 . It is shown that the intersection of all semi-difference entire sequence spaces 𝑐 𝑠 ∩ 𝑑 1 is 𝐼 ⊂ 𝑐 𝑠 ∩ 𝑑 1 and Γ ( Δ ) ⊂ 𝐼 .