Generalized Bell Numbers and Peirce Matrix via Pascal Matrix

Eunmi Choi

International Journal of Mathematics and Mathematical Sciences, 2018, vol. 2018, 1-8

Abstract:

With the Stirling matrix and the Pascal matrix , we show that ( ) satisfies a type of generalized Stirling recurrence. Then, by expressing the sum of components of each row of as -Bell number, we investigate properties of -Bell numbers as well as -Peirce matrix.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9096761

DOI: 10.1155/2018/9096761

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