Cover Image

Darboux-type formula for Jacobi biorthogonal polynomials

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Lin, Zhaofeng, Wang, Kai, Zheng, Zhanhang
Format:	Preprint
Published:	2026
Subjects:	Classical Analysis and ODEs 33C45 (Primary) 41A60, 42C05, 30E20 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Geronimus transformation and Sobolev-type orthogonal polynomials
by: Neha, N.
Published: (2026)

Strong Asymptotics for a 3x3 Riemann-Hilbert Problem in a Regular Hard-Soft Two-Edge Regime
by: Kandaian, Artur
Published: (2026)

Recurrence relations of Exceptional Laurent biorthogonal polynomials
by: Luo, Yu, et al.
Published: (2024)

New sharp bounds for the Jacobi heat kernel via an extension of the Dijksma-Koornwinder formula
by: Nowak, Adam, et al.
Published: (2024)

Asymptotics and zeros of a special family of Jacobi polynomials
by: Santander, John Lopez, et al.
Published: (2025)

Orthogonal polynomials for the singularly perturbed Laguerre weight, Hankel determinants and asymptotics
by: Min, Chao, et al.
Published: (2025)

Unbounded Widom factors for orthogonal and residual polynomials
by: Alpan, Gökalp
Published: (2025)

Lower Bounds for Weighted Chebyshev and Orthogonal Polynomials
by: Alpan, Gökalp, et al.
Published: (2024)

Darboux equivalence for matrix-valued orthogonal polynomials
by: Parisi, Ignacio Bono, et al.
Published: (2024)

Relative asymptotics of multiple orthogonal polynomials for Nikishin systems of two measures
by: López-García, Abey, et al.
Published: (2024)

Large-degree asymptotic expansions for the Jacobi and related functions
by: Nemes, Gergő
Published: (2024)

Bidiagonal matrix factorisations associated with symmetric multiple orthogonal polynomials and lattice paths
by: Lima, Hélder
Published: (2023)

Simple bounds for the extreme zeroes of Jacobi polynomials
by: Nikolov, Geno
Published: (2024)

Interlacing and monotonicity of zeros of Angelesco-Jacobi polynomials
by: Martinez-Finkelshtein, Andrei, et al.
Published: (2023)

Multiple q-Kravchuk polynomials
by: Arvesú, J., et al.
Published: (2024)

An electrostatic model for the roots of discrete classical orthogonal polynomials
by: Sánchez-Lara, Joaquín F.
Published: (2024)

Dunkl symmetric coherent pairs of measures. An application to Fourier Dunkl-Sobolev expansions
by: Sghaier, Mabrouk, et al.
Published: (2024)

Orthogonal polynomials in the normal matrix model with two insertions
by: Kieburg, Mario, et al.
Published: (2024)

A new commutativity property of exceptional orthogonal polynomials
by: Castro, M. M., et al.
Published: (2022)

Nonnegative and strictly positive linearization of Jacobi and generalized Chebyshev polynomials
by: Kahler, Stefan
Published: (2018)

On Turán's inequality: new general criteria, nonnegative representations and the class of generalized Chebyshev polynomials
by: Kahler, Stefan
Published: (2026)

Orthogonal polynomials in the spherical ensemble with two insertions
by: Byun, Sung-Soo, et al.
Published: (2025)

Sobolev orthogonal polynomials on the conic surface
by: Fernandez, Lidia, et al.
Published: (2022)

Widom factors in $\mathbb C^n$
by: Alpan, Gökalp, et al.
Published: (2025)

Asymptotics of Bergman polynomials for domains with reflection-invariant corners
by: Miña-Díaz, Erwin, et al.
Published: (2024)

Orthogonality of quasi-nature spectral polynomials of Jacobi and Laguerre type
by: Kumar, Vikash, et al.
Published: (2024)

Multiple orthogonal polynomial ensembles of derivative type
by: Wolfs, Thomas
Published: (2025)

On positive Jacobi matrices with compact inverses
by: Šťovíček, Pavel, et al.
Published: (2024)

Characterization of classical orthogonal polynomials in two continuous variables
by: Nangho, Maurice Kenfack, et al.
Published: (2024)

A few identities and integrals involving Pochhammer symbols, Jacobi polynomials, and the generalized hypergeometric function
by: Szabłowski, Paweł J.
Published: (2025)

Asymptotics of matrix orthogonal polynomials on the real line
by: Deaño, Alfredo, et al.
Published: (2025)

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

The symmetric Dunkl-classical orthogonal polynomials revisited
by: Douak, Khalfa
Published: (2024)

On a specific family of orthogonal polynomials of Bernstein-Szegö type
by: Nicholson, Martin
Published: (2025)

Interlacing of zeros of polynomials completed with two additional points
by: Jordaan, Kerstin, et al.
Published: (2026)

Separating zeros of polynomials using an added interlacing point
by: Jordaan, Kerstin, et al.
Published: (2026)

The general Brannan coefficient conjecture and Watson's lemma
by: Dunster, T. M.
Published: (2026)

Fourier transforms of orthogonal polynomials on the cone
by: Karaman, Rabia Aktaş, et al.
Published: (2024)

Non-symmetric Jacobi polynomials of type $BC_{1}$ as vector-valued polynomials Part 1: spherical functions
by: van Horssen, Max, et al.
Published: (2023)

Non-symmetric Jacobi polynomials of type $BC_1$ as vector-valued polynomials Part 2: Shift operators
by: van Horssen, Max, et al.
Published: (2024)