Geodesic
Two \(q\)-analogues of poly-Stirling numbers
Journal of integer sequences, Tome 14 (2011) no. 9
We develop two $q$-analogues of the previously defined poly-Stirling numbers of the first and second kinds. We also develop the corresponding $q$-rook theory models to give combinatorial interpretations to these numbers.
Classification : 05A15, 05E05
Keywords: rook theory, rook placement, file placement, Stirling numbers, poly-Stirling numbers, inverses, q-analogues 
@article{JIS_2011__14_9_a1,
     author = {Miceli,  Brian K.},
     title = {Two \(q\)-analogues of {poly-Stirling} numbers},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {9},
     zbl = {1234.05029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_9_a1/}
}
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Miceli,  Brian K. Two \(q\)-analogues of poly-Stirling numbers. Journal of integer sequences, Tome 14 (2011) no. 9. http://geodesic.mathdoc.fr/item/JIS_2011__14_9_a1/