Wagner, Carl G.

Partition statistics and $q$-Bell numbers $(q=-1)$

J. Integer Seq. 7(1), Art. 04.1.1, 12 p., electronic only (2004)

Summary

Summary: We study three partition statistics and the $q$-Stirling and $q$-Bell numbers that serve as their generating functions, evaluating these numbers when $q=-1$. Among the numbers that arise in this way are (1) Fibonacci numbers and (2) numbers occurring in the study of fermionic oscillators.

Mathematics Subject Classification

11B73, 11B39

Keywords/Phrases

partition statistics, q-Stirling numbers, q-Bell numbers, Fibonacci numbers

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