Derangement Polynomials and Excedances of Type B

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dc.creatorChen, William Y. C.
dc.creatorTang, Robert L.
dc.creatorZhao, Alina F. Y.
dc.date2008-09-04
dc.date.accessioned2026-07-07T10:00:38Z
dc.date.available2026-07-07T10:00:38Z
dc.descriptionAdopting the definition of excedances of type B due to Brenti, we give a type B analogue of the q-derangement polynomials. The connection between q-derangement polynomials and Eulerian polynomials naturally extends to the type B case. Based on this relation, we derive some basic properties of the q-derangement polynomials of type B, including the generating function formula, the Sturm sequence property, and the asymptotic normal distribution. We also show that the q-derangement polynomials are almost symmetric in the sense that the coefficients possess the spiral property.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0809.0741
dc.identifierhttp://arxiv.org/abs/0809.0741
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168373
dc.subjectCombinatorics
dc.titleDerangement Polynomials and Excedances of Type B
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