Francisco Marcellán

Orcid: 0000-0003-4331-4475

Affiliations:
  • Charles III University of Madrid, Spain


According to our database1, Francisco Marcellán authored at least 62 papers between 1992 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
An extension of a mixed interpolation-regression method using zeros of orthogonal polynomials.
J. Comput. Appl. Math., 2024

Constrained mock-Chebyshev least squares approximation for Hermite interpolation.
CoRR, 2024

A note on Laguerre truncated polynomials and quadrature formula.
CoRR, 2024

2023
Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations.
Numer. Algorithms, January, 2023

2021
A CMV connection between orthogonal polynomials on the unit circle and the real line.
J. Approx. Theory, 2021

Spectral Transformations and Associated Linear Functionals of the First Kind.
Axioms, 2021

2019
Coherent pairs of bivariate orthogonal polynomials.
J. Approx. Theory, 2019

2018
On bivariate classical orthogonal polynomials.
Appl. Math. Comput., 2018

2017
Asymptotics for varying discrete Sobolev orthogonal polynomials.
Appl. Math. Comput., 2017

On perturbed orthogonal polynomials on the real line and the unit circle via Szegő's transformation.
Appl. Math. Comput., 2017

Quadratures and integral transforms arising from generating functions.
Appl. Math. Comput., 2017

2016
Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle.
Numer. Algorithms, 2016

Asymptotic behavior of varying discrete Jacobi-Sobolev orthogonal polynomials.
J. Comput. Appl. Math., 2016

On polynomials associated with an Uvarov modification of a quartic potential Freud-like weight.
Appl. Math. Comput., 2016

2015
Sobolev orthogonal polynomials on product domains.
J. Comput. Appl. Math., 2015

Foreword to the proceedings of the OrthoQuad 2014 conference.
J. Comput. Appl. Math., 2015

A matrix approach for the semiclassical and coherent orthogonal polynomials.
Appl. Math. Comput., 2015

2014
A note on the Geronimus transformation and Sobolev orthogonal polynomials.
Numer. Algorithms, 2014

(<i>M</i>, <i>N</i>)-coherent pairs of order (<i>m</i>, <i>k</i>) and Sobolev orthogonal polynomials.
J. Comput. Appl. Math., 2014

Sieved para-orthogonal polynomials on the unit circle.
Appl. Math. Comput., 2014

(M, N)-Coherent pairs of linear functionals and Jacobi matrices.
Appl. Math. Comput., 2014

Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime.
Appl. Math. Comput., 2014

2013
Generators of rational spectral transformations for nontrivial C-functions.
Math. Comput., 2013

Jacobi-Sobolev orthogonal polynomials: Asymptotics and a Cohen type inequality.
J. Approx. Theory, 2013

Varying discrete Laguerre-Sobolev orthogonal polynomials: Asymptotic behavior and zeros.
Appl. Math. Comput., 2013

On computational aspects of discrete Sobolev inner products on the unit circle.
Appl. Math. Comput., 2013

2012
(1, 1)-q-coherent pairs.
Numer. Algorithms, 2012

Asymptotic properties of Laguerre-Sobolev type orthogonal polynomials.
Numer. Algorithms, 2012

Zeros of Sobolev orthogonal polynomials on the unit circle.
Numer. Algorithms, 2012

Zeros of orthogonal polynomials generated by canonical perturbations of measures.
Appl. Math. Comput., 2012

2011
Editorial.
J. Approx. Theory, 2011

A new linear spectral transformation associated with derivatives of Dirac linear functionals.
J. Approx. Theory, 2011

Orthogonal polynomials associated with an inverse quadratic spectral transform.
Comput. Math. Appl., 2011

2010
Special issue dedicated to Professor Jesús Sánchez-Dehesa on the occasion of his 60th birthday.
J. Comput. Appl. Math., 2010

Orthogonal polynomials and measures on the unit circle. The Geronimus transformations.
J. Comput. Appl. Math., 2010

Asymptotic behaviour of Laguerre-Sobolev-type orthogonal polynomials. A nondiagonal case.
J. Comput. Appl. Math., 2010

When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?
J. Comput. Appl. Math., 2010

The Laguerre-Sobolev-type orthogonal polynomials.
J. Approx. Theory, 2010

2009
Szegő transformations and rational spectral transformations for associated polynomials.
J. Comput. Appl. Math., 2009

Szego transformations and Nth order associated polynomials on the unit circle.
Comput. Math. Appl., 2009

2008
Spectral transformations of measures supported on the unit circle and the Szegö transformation.
Numer. Algorithms, 2008

Coherent pairs of linear functionals on the unit circle.
J. Approx. Theory, 2008

2007
A new numerical quadrature formula on the unit circle.
Numer. Algorithms, 2007

Orthogonal polynomials with respect to the sum of an arbitrary measure and a Bernstein-Szegö measure.
Adv. Comput. Math., 2007

2006
Two variable orthogonal polynomials and structured matrices.
SIAM J. Matrix Anal. Appl., 2006

Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line.
J. Approx. Theory, 2006

A scalar Riemann boundary value problem approach to orthogonal polynomials on the circle.
J. Approx. Theory, 2006

Classical orthogonal polynomials and Leverrier-Faddeev algorithm for the matrix pencils sE-A.
Int. J. Math. Math. Sci., 2006

2005
Kernels and best approximations related to the system of ultraspherical polynomials.
J. Approx. Theory, 2005

2003
The Moments of the M/M/s Queue Length Process.
Queueing Syst. Theory Appl., 2003

Generating functions and companion symmetric linear functionals.
Period. Math. Hung., 2003

Relative asymptotics and Fourier series of orthogonal polynomials with a discrete Sobolev inner product.
J. Approx. Theory, 2003

On asymptotic properties of Freud-Sobolev orthogonal polynomials.
J. Approx. Theory, 2003

2002
On Fourier Series of a Discrete Jacobi-Sobolev Inner Product.
J. Approx. Theory, 2002

Sobolev-type orthogonal polynomials on the unit circle.
Appl. Math. Comput., 2002

q-Coherent pairs and q-orthogonal polynomials.
Appl. Math. Comput., 2002

2001
Relative Asymptotics for Orthogonal Matrix Polynomials with Convergent Recurrence Coefficients.
J. Approx. Theory, 2001

Strong and Plancherel-Rotach Asymptotics of Non-diagonal Laguerre-Sobolev Orthogonal Polynomials.
J. Approx. Theory, 2001

A Class of Nonsymmetric Orthogonal Polynomials on the Unit Circle.
J. Approx. Theory, 2001

1997
Orthogonality properties of linear combinations of orthogonal polynomials II.
Adv. Comput. Math., 1997

1996
Orthogonality properties of linear combinations of orthogonal polynomials.
Adv. Comput. Math., 1996

1992
Quadratic decomposition of orthogonal polynomials: a matrix approach.
Numer. Algorithms, 1992


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