Higher-order Stirling cycle and subset triangles: Total positivity, continued fractions and real-rootedness
Fuente:
arXiv
Saved in:
| Main Authors: | Deb, Bishal, Sokal, Alan D. |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A remark on continued fractions for permutations and D-permutations with a weight $-1$ per cycle
by: Deb, Bishal, et al.
Published: (2023)
by: Deb, Bishal, et al.
Published: (2023)
Continued fractions for cycle-alternating permutations
by: Deb, Bishal, et al.
Published: (2023)
by: Deb, Bishal, et al.
Published: (2023)
Thron-type continued fractions (T-fractions) for some classes of increasing trees
by: Bitonti, Veronica, et al.
Published: (2024)
by: Bitonti, Veronica, et al.
Published: (2024)
Continued fractions using a Laguerre digraph interpretation of the Foata--Zeilberger bijection and its variants
by: Deb, Bishal
Published: (2023)
by: Deb, Bishal
Published: (2023)
Cyclic sieving phenomena via combinatorics of continued fractions
by: Deb, Bishal
Published: (2025)
by: Deb, Bishal
Published: (2025)
Total positivity of some polynomial matrices that enumerate labeled trees and forests. II. Rooted labeled trees and partial functional digraphs
by: Chen, Xi, et al.
Published: (2023)
by: Chen, Xi, et al.
Published: (2023)
Analytic aspects of $q,r$-analogue of poly-Stirling numbers of both kinds
by: Komatsu, Takao, et al.
Published: (2022)
by: Komatsu, Takao, et al.
Published: (2022)
Multiple orthogonal polynomials, $d$-orthogonal polynomials, production matrices, and branched continued fractions
by: Sokal, Alan D.
Published: (2022)
by: Sokal, Alan D.
Published: (2022)
Explicit formulae for generalized Stirling and Eulerian numbers
by: Küstner, Josef
Published: (2024)
by: Küstner, Josef
Published: (2024)
Log-concavity and strong $q$-log-convexity for some generalized triangular arrays
by: Boualam, Rezig, et al.
Published: (2024)
by: Boualam, Rezig, et al.
Published: (2024)
Over-Mahonian numbers: Basic properties and unimodality
by: Kessouri, Ali, et al.
Published: (2024)
by: Kessouri, Ali, et al.
Published: (2024)
On Bell numbers of type $D$
by: Arslan, Hasan, et al.
Published: (2025)
by: Arslan, Hasan, et al.
Published: (2025)
Real-rootedness of the type A minuscule polynomials
by: Ding, Ming-Jian, et al.
Published: (2023)
by: Ding, Ming-Jian, et al.
Published: (2023)
Total Positivity of Quasi-Riordan Arrays
by: He, Tian-Xiao, et al.
Published: (2024)
by: He, Tian-Xiao, et al.
Published: (2024)
Total Positivity of Almost-Riordan Arrays
by: He, Tian-Xiao, et al.
Published: (2024)
by: He, Tian-Xiao, et al.
Published: (2024)
Hadamard Products of dual Jacobi-Trudi matrices
by: Angarone, Robert, et al.
Published: (2025)
by: Angarone, Robert, et al.
Published: (2025)
More minor summation formulae
by: Chern, Shane, et al.
Published: (2026)
by: Chern, Shane, et al.
Published: (2026)
The Telephone Exchange Problem Revisited: A Combinatorial Approach
by: Nkonkobe, Sithembele
Published: (2025)
by: Nkonkobe, Sithembele
Published: (2025)
Alternating sign matrices with reflective symmetry and plane partitions: $n+3$ pairs of equivalent statistics and a Cauchy-type identity
by: Fischer, Ilse, et al.
Published: (2022)
by: Fischer, Ilse, et al.
Published: (2022)
Hook immanantal inequalities for totally nonnegative matrices
by: Skandera, Mark
Published: (2025)
by: Skandera, Mark
Published: (2025)
Hafnian of two-parameter matrices
by: Efimov, Dmitry
Published: (2021)
by: Efimov, Dmitry
Published: (2021)
Subspace Profiles over Finite Fields and $q$-Whittaker Expansions of Symmetric Functions
by: Ram, Samrith
Published: (2023)
by: Ram, Samrith
Published: (2023)
Pseudo-involutions in the Riordan group and Chebyshev polynomials
by: Burstein, Alexander, et al.
Published: (2025)
by: Burstein, Alexander, et al.
Published: (2025)
Diagonal operators, $q$-Whittaker functions and rook theory
by: Ram, Samrith, et al.
Published: (2023)
by: Ram, Samrith, et al.
Published: (2023)
Interpreting the Ehrhart coefficients of cross-polytopes
by: Menon, Krishna, et al.
Published: (2025)
by: Menon, Krishna, et al.
Published: (2025)
Straight polyomino tilings of rectangles and special rim-hook tableaux
by: Aggarwal, Mudit, et al.
Published: (2026)
by: Aggarwal, Mudit, et al.
Published: (2026)
Patterns in rectangulations. Part I: $\top$-like patterns, inversion sequence classes $I(010, 101, 120, 201)$ and $I(011, 201)$, and rushed Dyck paths
by: Asinowski, Andrei, et al.
Published: (2025)
by: Asinowski, Andrei, et al.
Published: (2025)
Enumeration of pattern-avoiding $(0,1)$-matrices and their symmetry classes
by: Eu, Sen-Peng, et al.
Published: (2025)
by: Eu, Sen-Peng, et al.
Published: (2025)
A short proof of Mathar's 2020 recurrence conjecture for the generalized-Stirling sequence A001711
by: Niu, Tong
Published: (2026)
by: Niu, Tong
Published: (2026)
Ascending Convex Polyominoes
by: Beaton, Nicholas, et al.
Published: (2026)
by: Beaton, Nicholas, et al.
Published: (2026)
Alternating patterns in commutator monomials
by: Lakos, Gyula
Published: (2023)
by: Lakos, Gyula
Published: (2023)
Combinations without specified separations
by: Allen, Michael A.
Published: (2022)
by: Allen, Michael A.
Published: (2022)
Connections Between Combinations Without Specified Separations and Strongly Restricted Permutations, Compositions, and Bit Strings
by: Allen, Michael A.
Published: (2024)
by: Allen, Michael A.
Published: (2024)
Permanent identities, combinatorial sequences, and permutation statistics
by: Fu, Shishuo, et al.
Published: (2021)
by: Fu, Shishuo, et al.
Published: (2021)
Continued-fraction characterization of Stieltjes moment sequences with support in $[ξ, \infty)$
by: Sokal, Alan D., et al.
Published: (2024)
by: Sokal, Alan D., et al.
Published: (2024)
On an alternating sum of factorials and Stirling numbers of the first kind: trees, lattices, and games
by: Wang, Victor
Published: (2025)
by: Wang, Victor
Published: (2025)
On the Lucky and Displacement Statistics of Stirling Permutations
by: Colmenarejo, Laura, et al.
Published: (2024)
by: Colmenarejo, Laura, et al.
Published: (2024)
(-1)-Enumerations of arrowed Gelfand-Tsetlin patterns
by: Fischer, Ilse, et al.
Published: (2023)
by: Fischer, Ilse, et al.
Published: (2023)
Generalized snake posets, order polytopes, and lattice-point enumeration
by: Lee, Eon, et al.
Published: (2024)
by: Lee, Eon, et al.
Published: (2024)
A bi-Stirling-Euler-Mahonian polynomial
by: Xu, Chao, et al.
Published: (2025)
by: Xu, Chao, et al.
Published: (2025)
Similar Items
-
A remark on continued fractions for permutations and D-permutations with a weight $-1$ per cycle
by: Deb, Bishal, et al.
Published: (2023) -
Continued fractions for cycle-alternating permutations
by: Deb, Bishal, et al.
Published: (2023) -
Thron-type continued fractions (T-fractions) for some classes of increasing trees
by: Bitonti, Veronica, et al.
Published: (2024) -
Continued fractions using a Laguerre digraph interpretation of the Foata--Zeilberger bijection and its variants
by: Deb, Bishal
Published: (2023) -
Cyclic sieving phenomena via combinatorics of continued fractions
by: Deb, Bishal
Published: (2025)