Positivity of Narayana polynomials and Eulerian polynomials
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Publication:6138054
DOI10.1016/j.aam.2023.102656arXiv2202.08984OpenAlexW4390364039MaRDI QIDQ6138054
Shi-Mei Ma, Hao Qi, Yeong-Nan Yeh, Jean Yeh
Publication date: 16 January 2024
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.08984
Eulerian polynomialsNarayana polynomialsHurwitz stabilitygamma-positivityalternating gamma-positivity
Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Combinatorial aspects of simplicial complexes (05E45)
Cites Work
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- Counting permutations by runs
- Unimodality via alternating gamma vectors
- Identities derived from noncrossing partitions of type \(B\)
- Derivative polynomials and enumeration of permutations by number of interior and left peaks
- Enriched \(P\)-partitions and peak algebras
- Symmetric unimodal expansions of excedances in colored permutations
- On certain combinatorial expansions of the Eulerian polynomials
- Faces of generalized permutohedra
- Identities from weighted Motzkin paths
- \(q\)-Eulerian polynomials arising from Coxeter groups
- Non-crossing partitions for classical reflection groups
- Enumerating a class of lattice paths
- \(Y\)-systems and generalized associahedra
- Hadamard products of stable polynomials are stable
- Gamma-positivity in combinatorics and geometry
- Lucas atoms
- Alternating Eulerian polynomials and left peak polynomials
- Eulerian pairs and Eulerian recurrence systems
- Positivity and divisibility of enumerators of alternating descents
- The \((s,s+d,\ldots,s+pd)\)-core partitions and rational Motzkin paths
- A context-free grammar for the \(e\)-positivity of the trivariate second-order Eulerian polynomials
- Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers
- An asymptotic distribution theory for Eulerian recurrences with applications
- \(\gamma\)-positivity and partial \(\gamma\)-positivity of descent-type polynomials
- A unified approach to polynomial sequences with only real zeros
- Pólya-Schur master theorems for circular domains and their boundaries
- Actions on permutations and unimodality of descent polynomials
- The Eulerian distribution on involutions is indeed unimodal
- Théorie géométrique des polynômes eulériens
- Real root conjecture fails for five- and higher-dimensional spheres
- Fractalized cyclotomic polynomials
- Eulerian Numbers
- On linear transformations preserving the Pólya frequency property
- Enriched 𝑃-Partitions
- Stirling permutation codes
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