Eulerian pairs and Eulerian recurrence systems
From MaRDI portal
Publication:2065895
DOI10.1016/j.disc.2021.112716zbMath1504.11043arXiv2010.09513OpenAlexW3216422716MaRDI QIDQ2065895
Jean Yeh, Shi-Mei Ma, Yeong-Nan Yeh, Jun Ma
Publication date: 13 January 2022
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.09513
Eulerian polynomialsEulerian pairsEulerian recurrence systemsHermite-Biehler decompositionsHermite-Biehler pairs
Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68)
Related Items (3)
Stirling permutation codes ⋮ Positivity of Narayana polynomials and Eulerian polynomials ⋮ Excedance-type polynomials, gamma-positivity and alternatingly increasing property
Cites Work
- Unimodality questions for integrally closed lattice polytopes
- Enumeration of permutations by number of alternating runs
- Tree-like tableaux
- Stable multivariate Eulerian polynomials and generalized Stirling permutations
- Recurrences for Eulerian polynomials of type B and type D
- Derivative polynomials and enumeration of permutations by number of interior and left peaks
- The Lee--Yang and Pólya--Schur programs. I: Linear operators preserving stability
- Longest alternating subsequences of permutations
- On certain combinatorial expansions of the Eulerian polynomials
- Stirling polynomials
- \(q\)-Eulerian polynomials arising from Coxeter groups
- Polytopes, permutation shapes and bin packing
- Hadamard products of stable polynomials are stable
- Gamma-positivity in combinatorics and geometry
- An asymptotic distribution theory for Eulerian recurrences with applications
- A generalized Eulerian triangle from staircase tableaux and tree-like tableaux
- David-Barton type identities and alternating run polynomials
- The \(1 / k\)-Eulerian polynomials and \(k\)-Stirling permutations
- Eulerian polynomials and descent statistics
- A unified approach to polynomial sequences with only real zeros
- Pólya-Schur master theorems for circular domains and their boundaries
- Eulerian polynomials, Stirling permutations of the second kind and perfect matchings
- Counting signed permutations by their alternating runs
- Bivariate generating functions for a class of linear recurrences: general structure
- Real root conjecture fails for five- and higher-dimensional spheres
- The Real-rootedness of Eulerian Polynomials via the Hermite--Biehler Theorem
- Symmetric Decompositions and Real-Rootedness
- The Lee‐Yang and Pólya‐Schur programs. II. Theory of stable polynomials and applications
- $h^\ast $-polynomials of zonotopes
- Simplices for numeral systems
- Real Zeros and Normal Distribution for Statistics on Stirling Permutations Defined by Gessel and Stanley
- On the descent polynomial of signed multipermutations
- The 𝐬-Eulerian polynomials have only real roots
- Descent numbers and major indices for the hyperoctahedral group
This page was built for publication: Eulerian pairs and Eulerian recurrence systems