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The semi-difference entire sequence space \(cs\cap d_{1}\) - MaRDI portal

The semi-difference entire sequence space \(cs\cap d_{1}\) (Q539341)

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scientific article; zbMATH DE number 5900708
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The semi-difference entire sequence space \(cs\cap d_{1}\)
scientific article; zbMATH DE number 5900708

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    The semi-difference entire sequence space \(cs\cap d_{1}\) (English)
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    27 May 2011
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    Summary: Let \(\Gamma\) denote the space of all entire sequences. Let \(\Lambda\) 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 \(cs\cap d_1\). It is shown that the intersection of all semi-difference entire sequence spaces \(cs\cap d_1\) is \(I\subset cs\cap d_1\) and \(\Gamma(\Delta)\subset I\).
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