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arXiv:math/0611826 [math.CO]AbstractReferencesReviewsResources

$q$-Eulerian polynomials and polynomials with only real zeros

S. -M. Ma, Yi Wang

Published 2006-11-27, updated 2007-07-01Version 2

Let $f$ and $F$ be two polynomials satisfying $F(x)=u(x)f(x)+v(x)f'(x)$. We characterize the relation between the location and multiplicity of the real zeros of $f$ and $F$, which generalizes and unifies many known results, including the results of Brenti and Br\"and\'en about the $q$-Eulerian polynomials.

Comments: 8 pages, minor corrections
Journal: The Electronic Journal of Combinatorics 15 (2008) #R17
Categories: math.CO
Subjects: 05A20, 26C10
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