科研之友
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摘要
We prove that, for any positive q, the q-Eulerian polynomial of type D has only real zeros. This settles an open problem of Brenti in 1994. For q = 1, our result reduces to the real-rootedness of the Eulerian polynomials of type D, which was originally conjectured by Brenti and recently proved by Savage and Visontai.
