sample of publications

• articles 

  • Maxwell orthogonal polynomials.  Constructive Mathematical Analysis.  7. 2024
  • Generalized Gauss-Rys orthogonal polynomials.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  540. 2024
  • Symmetrization process and truncated orthogonal polynomials.  Analysis and Mathematical Physics.  14. 2024
  • An extension of a mixed interpolation¿regression method using zeros of orthogonal polynomials.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  450. 2024
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  • Bispectrality for matrix Laguerre-Sobolev polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  697. 2024
    
  • Sobolev orthogonal polynomials and spectral methods in boundary value problems.  Applied Numerical Mathematics.  200:254-272. 2024
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  • Spectral transformations and second kind polynomials associated with a hermitian linear functional.  Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas.  118:1-26. 2024
  • Coherent pairs of moment functionals of the second kind and associated orthogonal polynomials and Sobolev orthogonal polynomials.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  525:1-32. 2023
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  • Coherent pairs of measures of the second kind on the real line and Sobolev orthogonal polynomials. An application to a Jacobi case.  STUDIES IN APPLIED MATHEMATICS.  151:475-508. 2023
  • The Cauchy Exponential of Linear Functionals on the Linear Space of Polynomials.  Mathematics.  11:1-18. 2023
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  • Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations.  NUMERICAL ALGORITHMS.  92:665-692. 2023
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  • On the characterizations of third-degree semiclassical forms via polynomial mappings.  INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS.  34:65-87. 2023
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  • Stability of Third Degree Linear Functionals and Rational Spectral Transformations.  Mediterranean Journal of Mathematics.  19:1-23. 2022
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  • Associated orthogonal polynomials of the first kind and Darboux transformations.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  508:1-26. 2022
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  • Characterizations of the Symmetric T(theta,q)-Classical Orthogonal q-Polynomials.  Mediterranean Journal of Mathematics.  19:1-18. 2022
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  • Second Degree Linear Forms and Semiclassical Forms of Class One. A Case Study.  Filomat.  36:781-800. 2022
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  • Rodrigues formula and recurrence coefficients for non-symmetric Dunkl-classical orthogonal polynomials.  RAMANUJAN JOURNAL.  56:451-466. 2021
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  • Spectral transformations and associated linear functionals of the first kind.  Axioms.  10:1-23. 2021
    
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  • Special issue OPSFA15: orthogonal polynomials, special functions and applications.  INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS.  32:333-335. 2021
    
  • Lupas-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces.  Bulletin of Mathematical Sciences.  11:1-20. 2021
  • A CMV connection between orthogonal polynomials on the unit circle and the real line.  JOURNAL OF APPROXIMATION THEORY.  266:1-22. 2021
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  • Discrete-continuous Jacobi-Sobolev spaces and Fourier series.  Bulletin of the Malaysian Mathematical Sciences Society.  44:571-598. 2021
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  • 2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case.  JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS.  431-452. 2021
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  • Hq-Semiclassical orthogonal polynomials via polynomial mappings.  RAMANUJAN JOURNAL.  53:113-136. 2021
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  • Ratio asymptotics for biorthogonal matrix polynomials with unbounded recurrence coefficients.  Applicable Analysis and Discrete Mathematics.  14:754-774. 2020
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  • Analytical properties of touchard-based hybrid polynomials via operational techniques.  Bulletin of the Malaysian Mathematical Sciences Society.  44:223-242. 2020
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  • Geronimus transformations of bivariate linear functionals.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  484:1-30. 2020
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  • International Conference on Mathematical Analysis & its Applications (ICMAA 2016).  The Journal of Analysis.  28:1-2. 2020
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  • Christoffel transformation for a matrix of bi-variate measures.  Complex Analysis and Operator Theory.  13:3979-4005. 2019
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  • Some new identities involving sheffer-appell polynomial sequences via matrix approach.  Mediterranean Journal of Mathematics.  16:1-20. 2019
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  • On Freud-Sobolev type orthogonal polynomials.  Afrika Matematika.  30:505-528. 2019
    
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  • Matrix biorthogonal polynomials on the real line: Geronimus transformations.  Bulletin of Mathematical Sciences.  9:1-68. 2019
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  • Coherent pairs of bivariate orthogonal polynomials.  JOURNAL OF APPROXIMATION THEORY.  245:40-63. 2019
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  • An inverse problem associated with (1,1) symmetric coherent linear functionals.  INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS.  30:526-546. 2019
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  • A Classification of Symmetric (1, 1)-Coherent Pairs of Linear Functionals.  Mathematics.  7 :1-33. 2019
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  • Szego transformation and zeros of analytic perturbations of Chebyshev weights.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  470:571-583. 2019
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  • On Symmetric (1, 1)-Coherent Pairs and Sobolev Orthogonal polynomials: an algorithm to compute Fourier coefficients.  Revista Colombiana de Matematicas.  53:139-164. 2019
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  • Asymptotics of Sobolev orthogonal polynomials for Hermite (1,1)-coherent pairs.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  467:601-621. 2018
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  • Weighted Sobolev spaces: Markov-type inequalities and duality.  Bulletin of Mathematical Sciences.  8:233-256. 2018
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  • Non-Abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations..  Journal of Physics A-Mathematical and Theoretical.  51:1-46. 2018
    
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  • On bivariate classical orthogonal polynomials.  APPLIED MATHEMATICS AND COMPUTATION.  325:340-357. 2018
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  • Algunas propiedades extremales de las raíces de polinomios ortogonales.  La Gaceta de la Real Sociedad Matemática Española.  21. 2018
  • A canonical Geronimus transformation for matrix orthogonal polynomials.  LINEAR & MULTILINEAR ALGEBRA.  66:357-381. 2018
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  • Matrix Pearson equations satisfied by Koornwinder weights in two variables.  ACTA APPLICANDAE MATHEMATICAE.  153:81-100. 2018
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  • Linear combinations of 2-orthogonal polynomials: generation and decomposition problems.  Communications in applied analysis.  22:97-119. 2018
  • Orthogonality of quasi-orthogonal polynomials.  Filomat.  32. 2018
  • Linear combinations of d-orthogonal polynomials.  Bulletin of the Malaysian Mathematical Sciences Society.  42:2009-2038. 2017
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  • Asymptotics for varying discrete Sobolev orthogonal polynomials.  APPLIED MATHEMATICS AND COMPUTATION.  314:65-79. 2017
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  • What is... a Sovoleb orthogonal polynomial?.  Notices of the American Mathematical Society.  64:873-875. 2017
  • On perturbed orthogonal polynomials on the real line and the unit circle via Szego's transformation.  APPLIED MATHEMATICS AND COMPUTATION.  302:97-110. 2017
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  • Sobolev orthogonal polynomials on the unit circle and coherent pairs of measures of the second kind.  Results in Mathematics.  71:1127-1149. 2017
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  • Quadratures and integral transforms arising from generating functions.  APPLIED MATHEMATICS AND COMPUTATION.  297:8-18. 2017
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  • Christoffel transformations for matrix orthogonal polynomials in the real line and the non-Abelian 2D Toda lattice hierarchy.  INTERNATIONAL MATHEMATICS RESEARCH NOTICES.  1285-1341. 2017
    
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  • An Extension of the Geronimus Transformation for Orthogonal Matrix Polynomials on the Real Line.  Mediterranean Journal of Mathematics.  13:5009-5032. 2016
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  • Relative Asymptotics of Matrix Orthogonal Polynomials for Uvarov Perturbations: The Degenerate Case.  Mediterranean Journal of Mathematics.  13:3135-3153. 2016
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  • Darboux transformations for CMV matrices.  ADVANCES IN MATHEMATICS.  298:122-206. 2016
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  • Asymptotic behavior of varying discrete Jacobi-Sobolev orthogonal polynomials.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  300:341-353. 2016
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  • On polynomials associated with an Uvarov modification of a quartic potential Freud-like weight.  APPLIED MATHEMATICS AND COMPUTATION.  281:102-120. 2016
    
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  • Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle.  NUMERICAL ALGORITHMS.  71:699-714. 2016
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  • Orthogonal polynomials and perturbations on measures supported on the real line and on the unit circle. A matrix perspective.  EXPOSITIONES MATHEMATICAE.  34:287-326. 2016
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  • A matrix characterization for the D-v-semiclassical and D-v-coherent orthogonal polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  487:242-259. 2015
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  • A matrix approach for the Dv-semiclassical and Dv-coherent orthogonal polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  242-259. 2015
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  • OPUC, CMV matrices and perturbations of measures supported on the unit circle.  LINEAR ALGEBRA AND ITS APPLICATIONS.  485:305-344. 2015
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  • Foreword to the proceedings of the OrthoQuad 2014 conference.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  284. 2015
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  • Sobolev orthogonal polynomials on product domains.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  284:202-215. 2015
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  • On co-polynomials on the real line.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  427:469-483. 2015
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  • On Alpert multiwavelets.  PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY.  143:2479-2494. 2015
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  • A matrix approach for the semiclassical and coherent orthogonal polynomials.  APPLIED MATHEMATICS AND COMPUTATION.  256:459-471. 2015
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  • Proceedings of OPSFA12, 2013 PREFACE.  INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS.  26:88-89. 2015
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  • Asymptotic behavior of the partial derivatives of Laguerre kernels and some applications.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  421:314-328. 2015
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  • On Sobolev orthogonal polynomials.  EXPOSITIONES MATHEMATICAE.  33:308-352. 2015
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  • A note on the Geronimus transformation and Sobolev orthogonal polynomials.  NUMERICAL ALGORITHMS.  67:271-287. 2014
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  • Sieved para-orthogonal polynomials on the unit circle.  APPLIED MATHEMATICS AND COMPUTATION.  244:335-343. 2014
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  • Multiple Geronimus transformations.  LINEAR ALGEBRA AND ITS APPLICATIONS.  454:158-183. 2014
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  • Discrete semiclassical orthogonal polynomials of class one.  PACIFIC JOURNAL OF MATHEMATICS.  268:389-411. 2014
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  • Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime.  APPLIED MATHEMATICS AND COMPUTATION.  236:260-272. 2014
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  • Generalized coherent pairs on the unit circle and Sobolev orthogonal polynomials.  Publications de l'Institut Mathematique.  96:193-210. 2014
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  • An electrostatic model for zeros of perturbed Laguerre polynomials.  PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY.  142:1733-1747. 2014
    
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  • On an inverse problem for a linear combination of orthogonal polynomials.  JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS.  20:570-585. 2014
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  • (M, N) -Coherent pairs of linear functionals and Jacobi matrices.  APPLIED MATHEMATICS AND COMPUTATION.  232:76-83. 2014
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  • Recurrence relations and outer relative asymptotics of orthogonal polynomials with respect to a discrete Sobolev type inner product.  Bulletin of Mathematical Sciences.  4:83-97. 2014
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  • The structure of iterative methods for symmetric linear discrete ill-posed problems.  BIT NUMERICAL MATHEMATICS.  54:129-145. 2014
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  • A finite class of orthogonal functions generated by Routh-Romanovski polynomials.  Complex Variables and Elliptic Equations.  59:162-171. 2014
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  • (M, N)-coherent pairs of order (m, k) and Sobolev orthogonal polynomials.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  256:16-35. 2014
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  • A Cohen type inequality for Laguerre-Sobolev expansions with a mass point outside their oscillatory regime.  Turkish Journal of Mathematics.  38:994-1006. 2014
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  • (1,1)-D-omega-coherent pairs.  JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS.  19:1828-1848. 2013
  • On computational aspects of discrete Sobolev inner products on the unit circle.  APPLIED MATHEMATICS AND COMPUTATION.  223:452-460. 2013
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  • Bases of the space of solutions of some fourth-order linear difference equations: applications in rational approximation.  JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS.  19:1632-1644. 2013
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  • On the Pollard decomposition method applied to some Jacobi-Sobolev expansion.  Turkish Journal of Mathematics.  37:934-948. 2013
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  • Varying discrete Laguerre-Sobolev orthogonal polynomials: Asymptotic behavior and zeros.  APPLIED MATHEMATICS AND COMPUTATION.  222:612-618. 2013
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  • Classical orthogonal polynomials with respect to a lowering operator generalizing the Laguerre operator.  INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS.  24:636-648. 2013
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  • Strong and ratio asymptotics for Laguerre polynomials revisited.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  403:477-486. 2013
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  • Jacobi&-Sobolev orthogonal polynomials: Asymptotics and a Cohen type inequality.  JOURNAL OF APPROXIMATION THEORY.  170:78-93. 2013
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  • Generators of rational Spectral Transformations.  MATHEMATICS OF COMPUTATION.  82:1057-1068. 2013
  • On W1,p,p-convergence of Fourier&-Sobolev expansions.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  398. 2013
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  • (1,1) - Coherent pairs on the unit circle.  Abstract and Applied Analysis.  2013:1-9. 2013
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  • A Cohen type inequality for Gegenbauer-Sobolev expansions.  ROCKY MOUNTAIN JOURNAL OF MATHEMATICS.  43:135-148. 2013
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  • Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle.  INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS.  24:23-38. 2013
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  • Semiclassical linear functionals of class three. The symmetric case.  JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS.  19:162-178. 2013
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  • Quadratic decomposition of a family of H-q-semiclassical orthogonal polynomial sequences.  JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS.  18:2039-2057. 2012
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  • Higher Order Coherent Pairs.  ACTA APPLICANDAE MATHEMATICAE.  121:105-135. 2012
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  • Relative asymptotics for orthogonal matrix polynomials.  LINEAR ALGEBRA AND ITS APPLICATIONS.  437:1458-1481. 2012
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  • The complementary polynomials and the Rodrigues operator of classical orthogonal polynomials.  PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY.  140:3485-3493. 2012
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  • Zeros of Sobolev orthogonal polynomials on the unit circle.  NUMERICAL ALGORITHMS.  60:669-681. 2012
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  • On orthogonal polynomials with respect to certain discrete Sobolev inner product.  PACIFIC JOURNAL OF MATHEMATICS.  257:167-188. 2012
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  • (1,1)-q-coherent pairs.  NUMERICAL ALGORITHMS.  60:223-239. 2012
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  • On semiclassical linear functionals of class s=2: classification and integral representations.  JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS.  18:973-1000. 2012
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  • Asymptotic properties of Laguerre-Sobolev type orthogonal polynomials.  NUMERICAL ALGORITHMS.  60:51-73. 2012
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  • Orthogonal polynomials, Catalan numbers, and a general Hankel determinant evaluation.  LINEAR ALGEBRA AND ITS APPLICATIONS.  436:2105-2116. 2012
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  • Asymptotic and interlacing properties of zeros of exceptional Jacobi and Laguerre polynomials.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  399:480-495. 2012
    
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  • Zeros of orthogonal polynomials generated by canonical perturbations of measures.  APPLIED MATHEMATICS AND COMPUTATION.  218:7109-7127. 2012
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  • On W-1,W-p-convergence of Fourier-Sobolev expansions.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  398:594-599. 2012
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  • Quadratic Decomposition of a Laguerre-Hahn Polynomial Sequence II.  Mediterranean Journal of Mathematics.  9:23-49. 2012
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  • A non-symmetric second-degree semi-classical form of class one.  INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS.  23:149-159. 2012
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  • A new linear spectral transformation associated with derivatives of Dirac linear functionals.  JOURNAL OF APPROXIMATION THEORY.  163:1834-1853. 2011
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  • Monotonicity and asymptotic of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher derivatives.  PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY.  139:3929-3936. 2011
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  • Density of polynomials in some L² spaces on radial rays in the complex plane.  LINEAR ALGEBRA AND ITS APPLICATIONS.  435:128-146. 2011
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  • The holonomic equation of the Laguerre-Sobolev-type orthogonal polynomials: a non-diagonal case.  JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS.  17:877-887. 2011
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  • Perturbations on the subdiagonals of Toeplitz matrices.  LINEAR ALGEBRA AND ITS APPLICATIONS.  434:1563-1579. 2011
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  • Jacobi-Sobolev Orthogonal Polynomials: Asymptotics for N-Coherence of Measures.  JOURNAL OF INEQUALITIES AND APPLICATIONS.  2011:1-19. 2011
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  • The Laguerre-Sobolev-Type Orthogonal Polynomials. Holonomic Equation And Electrostatic Interpretation.  ROCKY MOUNTAIN JOURNAL OF MATHEMATICS.  41:95-131. 2011
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  • Orthogonal polynomials associated with an inverse quadratic spectral transform.  COMPUTERS & MATHEMATICS WITH APPLICATIONS.  61:888-900. 2011
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  • Analytic properties of Laguerre-type orthogonal polynomials.  INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS.  22:107-122. 2011
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  • Lowering operators associated with D-Laguerre-Hahn polynomials.  INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS.  22:879-893. 2011
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  • Special Issue Proceedings of the International Workshop on Orthogonal Polynomials and Approximation Theory dedicated to the 60th Anniversary of Guillermo Lopez Lagomasino.  JOURNAL OF APPROXIMATION THEORY.  163:1-2. 2011
  • Asymptotic Behaviour of Laguerre-Sobolev-type Orthogonal Polynomials: A Nondiagonal Case.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  235:998-1007. 2010
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  • Vector Interpretation of the Matrix Orthogonality on the Real Line.  ACTA APPLICANDAE MATHEMATICAE.  112:357-383. 2010
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  • Monotonicity of Zeros of Laguerre-Sobolev Type Orthogonal Polynomials.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  368:80-89. 2010
  • q-Classical Orthogonal Polynomials: A General Difference Calculus Approach.  ACTA APPLICANDAE MATHEMATICAE.  111:107-128. 2010
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  • Asymptotic Properties of Orthogonal Polynomials with Respect to a Non-discrete Jacobi-Sobolev Inner Product.  ACTA APPLICANDAE MATHEMATICAE.  110:1309-1320. 2010
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  • Orthogonal Polynomials and Second-Order Pseudo-Spectral Linear Differential Equations.  INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS.  21:487-501. 2010
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  • The Laguerre-Sobolev-Type Orthogonal Polynomials.  JOURNAL OF APPROXIMATION THEORY.  162:421-440. 2010
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  • A Cohen Type Inequality for Fourier Expansions of Orthogonal Polynomials with a Nondiscrete Jacobi-Sobolev Inner Product.  JOURNAL OF INEQUALITIES AND APPLICATIONS.  2010. 2010
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  • A Note on Monotonicity of Zeros of Generalized Hermite-Sobolev-Type Orthogonal Polynomials.  INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS.  21:831-838. 2010
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  • Orthogonal Polynomials and Measures on The Unit Circle: The Geronimus Transformation.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  233:1220-1231. 2010
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  • Quadratic Decomposition of a Laguerre-Hahn Polynomial Sequence I.  BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN.  17:641-659. 2010
  • When do Linear Combinations of Orthogonal Polynomials Yield New Sequences of Orthogonal Polynomials?.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  233:1446-1452. 2010
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  • Linear Spectral Transformations and Laurent Polynomials.  Mediterranean Journal of Mathematics.  6:273-289. 2009
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  • Perturbations of Laguerre-Hahn Functional: Modification by the Derivative of a Dirac Delta.  INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS.  20:59-77. 2009
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  • Szegö Transformations and Nth Order Associated Polynomials on the Unit Circle.  COMPUTERS & MATHEMATICS WITH APPLICATIONS.  57:1659-1671. 2009
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  • A Cohen type inequality for Laguerre-Sobolev expansions.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  352:880-889. 2009
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  • On Convergence and Divergence of Fourier Expansions with Respect to Some Gegenbauer-Sobolev Type Inner Product.  Communications in the Analytic Theory of Continued Fractions.  2009:1-11. 2009
  • Szegö Transformations and Rational Spectral Transformations for Associated Polynomials.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  233:730-738. 2009
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  • Verblunsky Parameters and Linear Spectral Transformations.  Methods and Applications of Analysis.  16:69-86. 2009
  • Inverse Finite-Type Relations between Sequences of Polynomials.  Revista de la Academia Colombiana de Ciencias Exactas, Fisicas y Naturales.  32:245-255. 2008
  • Spectral Transformations of Measures Supported on the Unit Circle and the Szegö Transformation.  NUMERICAL ALGORITHMS.  49:169-185. 2008
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  • New Quadrature Rules for Bernstein Measures on the Interval [-1,1].  ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS.  30:278-290. 2008
  • Geronimus Spectral Transforms and Measures on the Complex Plane.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  219:441-456. 2008
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  • Coherent Pairs of Linear Functionals on the Unit Circle.  JOURNAL OF APPROXIMATION THEORY.  153:122-137. 2008
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  • Hardy-Type Theorem for Orthogonal Functions with Respect to Their Zeros: The Jacobi Weight Case.  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS.  341:803-812. 2008
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• book chapters 

  • From standard orthogonal polynomials to Sobolev orthogonal polynomials. In: Orthogonal Polynomials: 2nd AIMS-Volkswagen Stiftung Workshop, Douala, Cameroon, 5-12 October, 2018 (AIMSVSW 2018).  Birkhauser. 245-292. 2020
    
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  • Finite orthogonal Laurent polynomials. In: The mathematics of the ucertain: a tribute to Pedro Gil.  SPRINGER. 869-878. 2018
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  • Finite Orthogonal Laurent Polynomials. In: MATHEMATICS OF THE UNCERTAIN: A TRIBUTE TO PEDRO GIL.  869-878. 2018
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  • On Co-polynomials on the Real Line and the Unit Circle. In: Operations research, engineering, and cyber security: trends in applied mathematics and technology.  SPRINGER. 69-94. 2017
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  • Orthogonal polynomials: computation. In: Encyclopedia of applied and computational mathematics.  Springer Berlin / Heidelberg. 1112-1114. 2015
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  • On some recent results on asymptotic behavior of orthogonal polynomials on the unit circle and inserting point masses. In: Computation, Cryptography, and Network Security.  SPRINGER. 75-101. 2015
  • On a Direct Uvarov-Chihara Problem and Some Extensions. In: Analytic Number Theory, Approximation Theory, and Special Functions : In Honor of Hari M. Srivastava.  691-704. 2014
  • Orthogonal Polynomials and Rational Spectarl Transformations. In: Mathematical Physics and Field Theory: Julio Abad, in Memoriam.  Prensas Universitarias de Zaragoza. 239-248. 2009
  • Hermité-Padé Approximants. In: Guillermo López Lagomasino: Mathematical Life and Works.  28-35. 2008

• books 

  • Curso práctico de variable compleja y teoría de transformadas.  PEARSON EDUCACION, S.A.. 2014
  • Differential Algebra, Complex Analysis and Orthogonal Polynomials.  Rhode Island: AMERICAN MATHEMATICAL SOCIETY. 2010
  • Polinomios ortogonales no estándar. Propiedades algebraicas y analíticas.  Mérida: Instituto Venezolano de Investigaciones Científicas. 2009
  • Polinomios ortogonales no estándar: propiedades algebraicas y analíticas.  CARACAS: Instituto Venezolano de Investigaciones Científicas. 2009

• conference contributions 

  • From standard orthogonal polynomials to sobolev orthogonal polynomials: the role of semiclassical linear functionals.  245-292. 2020
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  • New trends on orthogonal polynomials in Sobolev spaces.  34-34. 2019
  • Ortogonalidad, Propiedades electrostáticas de ceros de poli-nomios ortogonales y cuadratura Gaussiana 2019
  • Paraorthogonal polynomials on the unit circle. Electrostatic interpretation of zeros.  258-258. 2019
  • Matrix biorthogonal polynomials and matrices of measures: linear spectral perturbations.  19-19. 2018
  • Semiclassical orthogonal polynomials and orthogonal polynomials in Sobolev spaces 2018
  • A friendly approach to orthogonal polynomials and their applications 2017
  • Analytic properties of orthogonal polynomials in Sobolev spaces. A comparative approach with the standard case 2017
  • Christoffel transformations and matrix of measures supported in the real line 2017
  • Orthogonal polynomials on the unit circle the real line and the unit circle: Szegö transformations and CMV matrices 2017
  • Orthogonal polynomials, Geronimus transformations and quadrature rules 2017
  • Orthogonal polynomials, zeros and electrostatics 2017
  • CMV matrices, direct and inverse problems, applications.  5-5. 2016
  • Linear Spectral transformations of a matrix of measures supported in the real line 2016
  • Markov-type inequalities and duality in weighted Sobolev spaces. 2016
  • Polinomios ortogonales "clásicos". Operadores y ortogonalidad 2016
  • Polinomios ortogonales en la recta real 2016
  • Spectral transformations and matrix orthogonal polynomials 2016
  • A matrix approach for the semiclassical and coherent orthogonal polynomials 2015
  • An historical approach to Sobolev orthogonal polynomials 2015
  • Multiple Geronimus Transformations 2015
  • Orthogonal polynomials in Sobolev spaces. An overview 2015
  • A Cohen type inequality for Laguerre-Sobolev expansions 2014
  • A matrix approach for the coherence of orthogonal polynomials 2014
  • Asymptotic behavior of the partial derivatives of Laguerre kernels and some applications. 2014
  • Spectral transformations, Sobolev orthogonal polynomials and more.  4. 2014
  • Zeros of para‐orthogonal polynomials and linear spectral transformations on the unit circle 2014
  • (M,N)-coherent pairs of order (m,k) and Sobolev orthogonal polynomials 2013
  • Asymptotic Behaviour of Zeros of Exceptional Jacobi and Laguerre Polynomials 2013
  • CMV matrices and spectral transformations of measures 2013
  • New trends on orthogonal polynomials in Sobolev spaces 2013
  • Recent trends in Orthogonal Polynomials on the Unit Circle 2012
  • CMV, GGT, and Factorization of Matrices. Some Applications in Signal Theory 2011
  • Generators of the group of rational spectral transformations for non-trivial C-functions.  19-20. 2011
  • Monotonicity of Zeros of Laguerre-Sobolev Type Orthogonal Polynomials.  20. 2011
  • N-coherent pairs of measures 2011
  • Orthogonal polynomials and Sobolev inner products asymptotics, zeros and spectral properties 2011
  • Quadratic decomposition of orthogonal polynomials, Stieltjes functions and Laguerre-Hahn linear functionals 2011
  • Recent Trends in Two Variable Orthogonal Polynomials.  59-86. 2010
  • Carathéodory Functions, Perturbation of Measures and Spectral Transformations of Measures on the Unit Circle 2008
  • Integrable systems, spectral transforms, self-similar reductions, and orthogonal polynomials 2008
  • Numerical Quadratures on the Unit Circle 2008
  • Orthogonal Polynomials in Sobolev Spaces 2008