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arxiv: 1404.3110 · v3 · pith:PTJLJEGVnew · submitted 2014-04-11 · 🧮 math.CO

Recurrences for Eulerian polynomials of type B and type D

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keywords polynomialstypeeulerianrecurrencesanalogouscombinatoriallyconnectioncorresponding
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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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