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 is I ⊂ cs∩d1 and Γ(Δ) ⊂ I.