2011•International Journal of Mathematics and Mathematical SciencesOpen access

The Semi‐Difference Entire Sequence Space cs∩d1

Nagarajan Subramanian, K. Chandrasekhara Rao, K. Balasubramanian

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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 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.

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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.

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Available 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 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.

Key concepts: Mathematics, Sequence (biology), Sequence space, Space (punctuation), Intersection (aeronautics), Class (philosophy), Combinatorics, Discrete mathematics

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