Darboux transformations for multivariate orthogonal polynomials (original) (raw)

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Niky Kamran

Journal of Physics A: Mathematical and Theoretical, 2010

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Another Christoffel--Darboux Formula for Multiple Orthogonal Polynomials of Mixed Type

Manuel Manas

2013

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A Jacobi type Christoffel–Darboux formula for multiple orthogonal polynomials of mixed type

Manuel Mañas Baena

Linear Algebra and its Applications Volume 468, 1 March 2015, Pages 154–170 18th ILAS Conference

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On the Christoffel–Darboux formula for generalized matrix orthogonal polynomials

Manuel Mañas Baena

Journal of Mathematical Analysis and Applications Volume 418, Issue 1, 1 October 2014, Pages 238–247

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Computation of connection coefficients and measure modifications for orthogonal polynomials

Akil Narayan, Jan S Hesthaven

BIT Numerical Mathematics, 2012

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Javier Hernández Benítez

Journal of Computational and Applied Mathematics, 2010

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Algebraic and analytic properties associated with spectral transformations of matrix orthogonal polynomials

Edinson Fuentes

2019

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Multivariate orthogonal polynomial and integrable systems

Gerardo Ariznabarreta, Manuel Manas

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Two variable orthogonal polynomials and structured matrices

Plamen Iliev

SIAM Journal on Matrix Analysis and Applications, 2006

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Connection formulae for orthogonal polynomials when the measure is modified by an even factor

Alta Jooste

arXiv (Cornell University), 2023

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Multiple orthogonal polynomials of mixed type: Gauss–Borel factorization and the multi-component 2D Toda hierarchy

Manuel Mañas Baena, Carlos Alvarez, Manuel Manas, Ulises Prieto

Advances in Mathematics, 2010

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A connection between orthogonal polynomials on the unit circle and matrix orthogonal polynomials on the real line

Luis Velázquez

Journal of Computational and Applied Mathematics, 2003

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Tania Perez

Numerical Algorithms, 2010

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ana peña

Numerical Algorithms, 2013

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Christoffel Functions and Universality in the Bulk for Multivariate Orthogonal Polynomials

Doron Lubinsky

Canadian Journal of Mathematics, 2013

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Orthogonal polynomials associated with invariant measures on Julia sets

Michael Barnsley

Bulletin of the American Mathematical Society, 1982

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Orthogonal polynomials and quadrature rules on the unit circle associated with perturbations of symmetric measures

Daniel Veronese

Journal of Computational and Applied Mathematics, 2020

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Multiple orthogonal analogs of classical orthogonal polynomials

Emil Horozov

arXiv (Cornell University), 2016

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A stable stieltjes technique for computing orthogonal polynomials and jacobi matrices associated with a class of singular measures

Giorgio Mantica

Constructive Approximation, 1996

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d-Orthogonal Analogs of Classical Orthogonal Polynomials

Emil Horozov

Symmetry, Integrability and Geometry: Methods and Applications, 2018

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Poncelet–Darboux, Kippenhahn, and Szegő: Interactions between projective geometry, matrices and orthogonal polynomials

Andrei Martinez Finkelshtein

Journal of Mathematical Analysis and Applications, 2022

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Properties of matrix orthogonal polynomials via their Riemann–Hilbert characterization

Alberto Grunbaum, Andrei Martínez-Finkelshtein, f alberto grunbaum

2011

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WHAT IS...A Multiple Orthogonal Polynomial?

Andrei Martinez Finkelshtein

Notices of the American Mathematical Society, 2016

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2. Review of orthogonal polynomials

Anouar Ben Mabrouk

De Gruyter eBooks, 2017

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The Kontorovich-Lebedev Transform as a Map between d -Orthogonal Polynomials

Semyon Yakubovich

Studies in Applied Mathematics, 2013

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On two models of orthogonal polynomials and their applications

J. Arvesú

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Connection relations and characterizations of orthogonal polynomials

Mourad Ismail

Advances in Applied Mathematics, 2012

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Generalizations of the Christoffel-Darboux identity for adjacent families of orthogonal polynomials

Claude Brezinski

Applied Numerical Mathematics, 1991

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Formal orthogonal polynomials revisited. Applications

André DRAUX

Numerical Algorithms, 1996

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Invariant properties for Wronskian type determinants of classical and classical discrete orthogonal polynomials under an involution of sets of positive integers

Guillermo P. Curbera

arXiv: Classical Analysis and ODEs, 2016

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Antonia Delgado

Complex Analysis and Operator Theory, 2011

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Matrix polynomials orthogonal with respect to a non-symmetric matrix of measures

Marcin Zygmunt

Opuscula Mathematica

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Darboux transformations for CMV matrices

Leandro Moral

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