\(q\)-Eulerian polynomials and polynomials with only real zeros
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Publication:1010723
zbMath1180.05009arXivmath/0611826MaRDI QIDQ1010723
Publication date: 7 April 2009
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0611826
Exact enumeration problems, generating functions (05A15) Real polynomials: location of zeros (26C10)
Related Items (13)
The peak statistics on simsun permutations ⋮ \(q\)-log-convexity from linear transformations and polynomials with only real zeros ⋮ On the unimodality of independence polynomials of some graphs ⋮ Enumeration of permutations by number of alternating runs ⋮ Linear transformations preserving the strong \(q\)-log-convexity of polynomials ⋮ Some results related to Hurwitz stability of combinatorial polynomials ⋮ Counting permutations by simsun successions ⋮ Context-free grammars for several polynomials associated with Eulerian polynomials ⋮ Enumeration of permutations by number of alternating descents ⋮ Counting signed permutations by their alternating runs ⋮ On similarities between exponential polynomials and Hermite polynomials ⋮ Enumeration of type \(D\) permutations with alternating runs ⋮ David-Barton type identities and alternating run polynomials
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