Cover Image

Skew-orthogonal polynomials for a quartic Freud weight: two classes of quasi-orthogonal polynomials

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Benassi, Costanza, Dell'Atti, Marta
Format:	Preprint
Published:	2026
Subjects:	Classical Analysis and ODEs Mathematical Physics Exactly Solvable and Integrable Systems 33D45 (Primary) 42C05, 82B99 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Spaces of initial conditions for quartic Hamiltonian systems of Painlevé and quasi-Painlevé type
by: Dell'Atti, Marta, et al.
Published: (2024)

Toda and Laguerre-Freud equations for multiple discrete orthogonal polynomials with an arbitrary number of weights
by: Fernández-Irisarri, Itsaso, et al.
Published: (2024)

On a class of elliptic orthogonal polynomials and their integrability
by: Desiraju, Harini, et al.
Published: (2023)

Modified Painlevé systems with meromorphic solutions for polynomial Hamiltonians of all degrees
by: Dell'Atti, Marta, et al.
Published: (2026)

Random matrix ensembles and integrable differential identities
by: Benassi, Costanza, et al.
Published: (2025)

Determinantal approach to multiple orthogonal polynomials, and the corresponding integrable equations
by: Doliwa, Adam
Published: (2023)

Discrete orthogonality relations for multi-indexed Laguerre and Jacobi polynomials
by: Ho, Choon-Lin, et al.
Published: (2019)

Iterative polynomial regularisation of PIV-type: Hamiltonian systems and Newton polygons
by: Dell'Atti, Marta, et al.
Published: (2025)

Exceptional Hermite Polynomials and Calogero-Moser Pairs
by: Paluso, Luke, et al.
Published: (2025)

On real and imaginary roots of generalised Okamoto polynomials
by: Roffelsen, Pieter, et al.
Published: (2024)

Integrability of polynomial vector fields and a dual problem
by: Petek, Tatjana, et al.
Published: (2024)

Symmetric Sextic Freud Weight
by: Clarkson, Peter A., et al.
Published: (2025)

Generalized mKdV Equation and Genus Two Jacobi Type Hyperelliptic Differential Equation
by: Hayashi, Masahito, et al.
Published: (2025)

From curvature to Kovacic: a geometric approach to integrability of scalar ODEs
by: Pan-Collantes, A. J., et al.
Published: (2026)

Some properties of the simple nonlinear recursion $y(\ell + 1) = [1-y(\ell)]^p$ with $p$ an arbitrary positive integer
by: Calogero, Francesco
Published: (2025)

On an integrable 2+1-dimensional extended Dym equation: Lax pair, $\bar{\partial}$-dressing scheme and modulation
by: Konopelchenko, Boris, et al.
Published: (2026)

On the behavior of orbits of Vanhaecke system on integral surfaces
by: Shiwei, Wang, et al.
Published: (2025)

Delay Painlevé-I equation, associated polynomials and Masur-Veech volumes
by: Gibbons, John, et al.
Published: (2024)

Quadratic Bureau-Guillot systems with the first and second Painlevé transcendents in the coefficients. Part I: geometric approach and birational equivalence
by: Dell'Atti, Marta, et al.
Published: (2025)

On the discrete Painlevé equivalence problem, non-conjugate translations and nodal curves
by: Dzhamay, Anton, et al.
Published: (2026)

Geometric aspects of non-homogeneous 1+0 operators
by: Dell'Atti, Marta, et al.
Published: (2025)

On existence and properties of roots of third Painlevé' transcendents
by: Tertychniy, S. I.
Published: (2024)

Isochronous waveforms of Liénard equations via commutative factorization
by: Gonzalez, G., et al.
Published: (2024)

From hyperbolic to complex Euler integrals
by: Belousov, N. M., et al.
Published: (2026)

"Diophantine'' and Factorisation Properties of Finite Orthogonal Polynomials in the Askey Scheme
by: Odake, Satoru, et al.
Published: (2022)

Full Asymptotic Expansion of Monodromy Data for the First Painlevé Transcendent: Applications to Connection Problems
by: Long, Wen-Gao, et al.
Published: (2024)

Q-operators for the Ruijsenaars model
by: Rains, Eric, et al.
Published: (2025)

The non-linear steepest descent approach to the singular asymptotics of the sinh-Gordon reduction of the Painlevé III equation
by: Its, Alexander R., et al.
Published: (2024)

Special solutions of a discrete Painlevé equation for quantum minimal surfaces
by: Clarkson, Peter A., et al.
Published: (2025)

Symmetry Approach to Integration of Ordinary Differential Equations with Retarded Argument
by: Dorodnitsyn, Vladimir, et al.
Published: (2025)

Connection formulae for the radial Toda equations I
by: Guest, Martin A., et al.
Published: (2023)

Spectral parameter power series for Zakharov-Shabat direct and inverse scattering problems
by: Kravchenko, Vladislav V.
Published: (2025)

Confluent Darboux transformations and Wronskians for algebraic solutions of the Painlevé III ($D_7$) equation
by: Harrow, J. W. E., et al.
Published: (2025)

Rational Solutions of the Fifth Painlevé Equation. Generalised Laguerre Polynomials
by: Clarkson, Peter A., et al.
Published: (2023)

Fredholm determinant representation of the Painlevé II $τ$-function
by: Desiraju, Harini
Published: (2020)

Spectral quantization of discrete random walks on half-line, and orthogonal polynomials on the unit circle
by: Doliwa, Adam, et al.
Published: (2023)

Cauchy-Jacobi orthogonal polynomials and the discrete CKP equation
by: Li, Shi-Hao, et al.
Published: (2025)

Critical Hermitian matrix model with external source and Boussinesq hierarchy
by: Wang, Dong, et al.
Published: (2025)

Hard to soft edge transition for the Muttalib-Borodin ensembles with integer parameter $θ$
by: Wang, Dong, et al.
Published: (2025)

On classical orthogonal polynomials on bi-lattices
by: Castillo, K., et al.
Published: (2023)