Extensions of Spivey's Bell number formula (Q426863)
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scientific article; zbMATH DE number 6045699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extensions of Spivey's Bell number formula |
scientific article; zbMATH DE number 6045699 |
Statements
Extensions of Spivey's Bell number formula (English)
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12 June 2012
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Summary: We establish an extension of \textit{M. Z. Spivey}'s Bell number formula [J. Integer Seq. 11, No. 2, Article ID 08.2.5, 3 p. (2008; Zbl 1231.11026)] and its associated Bell polynomial extension by using Hsu-Shiue's generalized Stirling numbers. By means of the extension of Spivey's Bell number formula we also extend \textit{H. W. Gould}'s and \textit{J. Quaintance}'s new Bell number formulas [J. Integer Seq. 11, No. 3, Article ID 08.3.7, 6 p. (2008; Zbl 1204.11054)].
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Stirling number
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generating function
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Bell number
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