Results 141 to 150 of about 187 (156)

A Christoffel-Darboux-Type Formula for Szegö Polynomials and Polynomial Evaluation

1999
Polynomials Φ n , n ≥ 0, orthogonal on the complex unit circle satisfy a recurrence relation. If we shift their recurrence coefficients, we obtain the associated polynomials, which can be modified by changing the initialization. We prove a dual recurrence relation and a mixed Christoffel-Darboux-type formula, which expresses the derivative of an ...
openaire   +1 more source

A study on Darboux polynomials and their significance in determining other integrability quantifiers: A case study in third-order nonlinear ordinary differential equations

Pramana - Journal of Physics, 2023
Mohanasubha Ramasamy
exaly  

2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case

Journal of Difference Equations and Applications, 2021
Francisco Marcellan, Hamza Chaggara
exaly  

Two-step Darboux transformations and exceptional Laguerre polynomials

Journal of Mathematical Analysis and Applications, 2012
David Gomez-Ullate, Robert Milson
exaly  

Darboux polynomials and rational first integrals of the nonstretching Rolie–Poly model

Applied Mathematics Letters, 2020
Feng Xie
exaly  

Darboux partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials

Annals of Physics, 2014
Axel Schulze-Halberg, Barnana Roy
exaly  

On Darboux polynomials and rational first integrals of the generalized Lorenz system

Bulletin Des Sciences Mathematiques, 2014
Antonio Algaba, Fernando Fernández-Sánchez   +1 more
exaly  

The Darboux property for polynomials in Golomb’s and Kirch’s topologies

Demonstratio Mathematica, 2013
exaly  

Generating 2-D FIR filter functions by Christoffel–Darboux formula for Chebyshev polynomials of the second kind

International Journal of Electronics, 2017
Nebojsa S Doncov
exaly  

A survey on Christoffel–Darboux-type identities of Chebyshev polynomials

Integral Transforms and Special Functions, 2013
exaly