Generalizations of the Christoffel-Darboux identity for adjacent families of orthogonal polynomials (original) (raw)

A direct proof of the Christoffel-Darboux identity and its equivalence to the recurrence relationship

Claude Brezinski

Journal of Computational and Applied Mathematics, 1990

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

Manuel Manas

2013

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Old and New Geronimus Type Identities for Real Orthogonal Polynomials

Doron Lubinsky

2010

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New integral identities for orthogonal polynomials on the real line

Doron Lubinsky

Proceedings of the American Mathematical Society, 2011

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Quadrature identities for interlacing and orthogonal polynomials

Doron Lubinsky

Proceedings of the American Mathematical Society, 2016

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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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Extensions of some results of P. Humbert on Bezout's identity for classical orthogonal polynomials

Eduardo Godoy

Journal of Computational and Applied Mathematics, 2006

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Applications of new Geronimus type identities for real orthogonal polynomials

Doron Lubinsky

Proceedings of the American Mathematical Society, 2010

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Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions

Mourad Ismail

Symmetry, Integrability and Geometry: Methods and Applications, 2018

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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 associated orthogonal polynomials

Saïd Esteban Belmehdi

Journal of Computational and Applied Mathematics, 1990

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Orthogonal polynomials with a constant recursion formula and an application to harmonic analysis

Joel Cohen

Journal of Functional Analysis, 1984

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Connection relations and bilinear formulas for the classical orthogonal polynomials

Mourad Ismail

Journal of Mathematical Analysis and Applications, 1977

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On linearly related orthogonal polynomials and their functionals

ana peña

Journal of Mathematical Analysis and Applications, 2003

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New characterizations of classical orthogonal polynomials

Lance Littlejohn

Indagationes Mathematicae, 1996

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Connection relations and characterizations of orthogonal polynomials

Mourad Ismail

Advances in Applied Mathematics, 2012

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On peculiar properties of generating functions of some orthogonal polynomials

Paweł J Szabłowski

Journal of Physics A: Mathematical and Theoretical, 2012

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The Associated Classical Orthogonal Polynomials

max mizan

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A few remarks on orthogonal polynomials

Paweł J Szabłowski

Applied Mathematics and Computation, 2015

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Christoffel-Darboux Formula for Orthogonal Trigonometric Polynomials of Semi-Integer Degree *

Marija Stanić

2008

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Generalized polynomials and associated operational identities

A. Torre

Journal of Computational and Applied Mathematics, 1999

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Some operational formulas

Mourad Ismail

Journal of Mathematical Analysis and Applications, 1975

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Formal orthogonal polynomials revisited. Applications

André DRAUX

Numerical Algorithms, 1996

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Generalized polynomials and operational identities

Clemente Cesarano

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An orthogonal polynomial coefficient formula

Paul Barry

2016

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New mixed recurrence relations of two-variable orthogonal polynomials via differential operators

mosaed makky

2020

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Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case

Eduardo Godoy

Journal of Computational and Applied Mathematics, 1997

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On the Spacing of the Zeros of Some Classical Orthogonal Polynomials

Andrea Laforgia

J London Math Soc Second Ser, 1982

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On a new class of 2-orthogonal polynomials, I: the recurrence relations and some properties

Khalfa Douak

Integral Transforms and Special Functions, 2020

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The symmetric Dunkl-classical orthogonal polynomials revisited

Khalfa Douak

arXiv (Cornell University), 2024

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Characterization theorem for classical orthogonal polynomials on non-uniform lattices: the functional approach

Maurice KENFACK NANGHO

Integral Transforms and Special Functions, 2011

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Comments on monomiality, ordinary polynomials and associated bi-orthogonal functions

B. Germano

Applied Mathematics and Computation, 2004

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