Miceli, Brian K.

Two $q$-analogues of poly-Stirling numbers

J. Integer Seq. 14(9), Article 11.9.6, 33 p., electronic only (2011)

Summary

Summary: 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.

Mathematics Subject Classification

05A15, 05E05

Keywords/Phrases

rook theory, rook placement, file placement, Stirling numbers, poly-Stirling numbers, inverses, q-analogues

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