Cover Image

Chebyshev polynomials, their remarkable properties and connection with Catalan numbers

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ryabichev, Andrey, Shcherbakov, Konstantin
Format:	Preprint
Published:	2024
Subjects:	Combinatorics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Roots of polynomials and tangents of circles
by: Ryabichev, Andrey, et al.
Published: (2024)

On vertex-minimal simplicial maps to the sphere
by: Ryabichev, Andrey
Published: (2025)

A remark on the Ramsey number of the hypercube
by: Tikhomirov, Konstantin
Published: (2022)

On one property of Catalan numbers
by: Kochetkov, Yury
Published: (2025)

Some remarks about Hankel determinants which are related to Catalan-like numbers
by: Cigler, Johann
Published: (2024)

Formulas and asymptotics of hypergraph Catalan numbers
by: Hainzl, Eva-Maria
Published: (2025)

Parity statistics on restricted permutations and the Catalan--Schett polynomials
by: Lin, Zhicong, et al.
Published: (2024)

A conjectured formula for the rational $q,t$-Catalan polynomial
by: Hawkes, Graham
Published: (2022)

An involution for a Catalan-tangent number identity
by: Kim, Dongsu, et al.
Published: (2025)

On an upper bound for central binomial coefficients and Catalan numbers
by: Pain, Jean-Christophe
Published: (2024)

An integral representation of Catalan numbers using the Féaux formula
by: Pain, Jean-Christophe
Published: (2024)

An identity relating Catalan numbers to tangent numbers with arithmetic applications
by: Zhao, Tongyuan, et al.
Published: (2025)

Symmetry of the refined $q,t$-Catalan polynomials for $\vec{k}$-Dyck paths
by: Qu, Menghao, et al.
Published: (2025)

Tree-indexed sums of Catalan numbers
by: Bostan, Alin, et al.
Published: (2025)

A PTR polynomial for the Hughes planes and a new class of permutation polynomials involving Catalan numbers
by: Brittain, Stephen, et al.
Published: (2025)

An integral representation of Catalan numbers using Malmstén's formula
by: Pain, Jean-Christophe
Published: (2024)

Identities and Generating Functions of Products of Generalized Fibonacci numbers, Catalan and Harmonic Numbers
by: Kruchinin, Vladimir V., et al.
Published: (2024)

Gamma vectors as inverted Chebyshev expansions, type A to B transformations, and connections to algebraic structures
by: Park, Soohyun
Published: (2024)

Integral representations of Catalan numbers using Touchard-like identities
by: Pain, Jean-Christophe
Published: (2024)

On the connected coalition number
by: Guan, Xiaxia, et al.
Published: (2024)

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers
by: Marques, Sophie, et al.
Published: (2025)

A remark on the independence number of sparse random Cayley sum graphs
by: Nenadov, Rajko
Published: (2025)

The Catalan's triangle system, the Catalan's trapezoids and (q,2)--Fock space
by: Lu, Yungang
Published: (2024)

Manhattan and Chebyshev flows
by: Gáborik, Lukáš, et al.
Published: (2025)

Short proof of the Kneser-Edmonds theorem on the degree of a map between closed surfaces
by: Ryabichev, Andrey
Published: (2023)

Maximal degree of a map of surfaces
by: Ryabichev, Andrey
Published: (2023)

Catalan numbers, parking functions, permutahedra and noncommutative Hilbert schemes
by: Lunts, Valery, et al.
Published: (2022)

The number of dissociation sets in connected graphs
by: Yuan, Bo-Jun, et al.
Published: (2024)

Congruences for sums of Delannoy numbers and polynomials
by: Wang, Rong-Hua, et al.
Published: (2025)

Major Index on Catalan Combinatorics
by: Shigechi, Keiichi
Published: (2024)

Coxeter-biCatalan combinatorics
by: Barnard, Emily, et al.
Published: (2016)

Valuative Invariants of Catalan Matroids
by: Chen, Yiming, et al.
Published: (2025)

The number of cut-edges and conflict-free connection number in planar graphs
by: Ha, Pham Hoang, et al.
Published: (2026)

Polyhedral geometry of refined $q,t$-Catalan numbers
by: Beck, Matthias, et al.
Published: (2024)

$B$-Stirling numbers associated to potential polynomials
by: Adell, José A., et al.
Published: (2024)

Black Cell Capacity in Catalan polyominoes
by: Baril, Jean-Luc, et al.
Published: (2026)

Promotion and rowmotion in rational Catalan combinatorics
by: Shigechi, Keiichi
Published: (2026)

Intersecting families with covering number $3$
by: Kupavskii, Andrey
Published: (2024)

Prefixes of Stanley's Catalan paths with odd returns to the $x$-axis -- standard version and skew Catalan-Stanley paths
by: Prodinger, Helmut
Published: (2024)

Linear dependencies, polynomial factors in the Duke--Erd\H os forbidden sunflower problem
by: Kupavskii, Andrey, et al.
Published: (2024)