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Recurrences for Eulerian Polynomials of Type B and Type D

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Abstract

We introduce new recurrences for the type B and type D Eulerian polynomials, and interpret them combinatorially. These recurrences are analogous to a well-known recurrence for the type A Eulerian polynomials. We also discuss their relationship to polynomials introduced by Savage and Visontai in connection to the real-rootedness of the corresponding Eulerian polynomials.

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  1. Department of Mathematics, Lehigh University, Bethlehem, PA, 18015, USA

    Matthew Hyatt

  2. Mathematics Department, Pace University, Pleasantville, NY, 10570, USA

    Matthew Hyatt

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  1. Matthew Hyatt
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Hyatt, M. Recurrences for Eulerian Polynomials of Type B and Type D. Ann. Comb. 20, 869–881 (2016). https://doi.org/10.1007/s00026-016-0327-8

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  • DOI: https://doi.org/10.1007/s00026-016-0327-8

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