On derangement polynomials of type B. II |
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Authors: | Chak-On Chow |
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Institution: | PO Box 91100, Tsimshatsui Post Office, Hong Kong |
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Abstract: | We define a type B derangement polynomial by q-counting derangements by the number of excedances in the hyperoctahedral group Bn. Properties of the derangement polynomial, including the recurrence relation, generating function, real-rootedness, reciprocity and a unimodal decomposition arising from a symmetric function identity, are studied. The results presented generalize and unify earlier ones due to Brenti, Stanley, Stembridge and Zhang. |
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Keywords: | Signed permutations Excedances Tableaux Symmetric functions |
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