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arXiv:1205.6242 [math.CO]AbstractReferencesReviewsResources

Polynomials with only real zeros and the Eulerian polynomials of type D

Shi-Mei Ma

Published 2012-05-29, updated 2012-06-04Version 2

A remarkable identity involving the Eulerian polynomials of type D was obtained by Stembridge (Adv. Math. 106 (1994), p. 280, Lemma 9.1). In this paper we explore an equivalent form of this identity. We prove Brenti's real-rootedness conjecture for the Eulerian polynomials of type $D$.

Comments: 7 pages
Categories: math.CO
Subjects: 05A05, 26C10
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