Hankel Determinants of q-Stirling Numbers
Copyright policy )Hankel Determinants of q-Stirling Numbers
In this paper, we consider the q-analogue of the Hankel determinants of the Bell numbers and give combinatorial proofs of these results. We show that the Hankel determinants of the q-Stirling numbers can be simplified to a determinant that is almost upper-triangular, and then construct sign-reversing involutions on certain sets of RG-words that give rise to the determinants.
- Jiangxi University of Finance and Economics China (People's Republic of)
Hankel determinant, \(q\)-analogues, \(q\)-calculus and related topics, Bell and Stirling numbers, \(q\)-Stirling numbers, restricted growth words, Combinatorial identities, bijective combinatorics
Hankel determinant, \(q\)-analogues, \(q\)-calculus and related topics, Bell and Stirling numbers, \(q\)-Stirling numbers, restricted growth words, Combinatorial identities, bijective combinatorics
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