Submitted papers

1. A. Díaz-González, H. Pijeira-Cabrera and J. Quintero-Roba, Electrostatic models for zeros of Laguerre-Sobolev polynomials. arXiv:2308.06304 

List of Publications

• 1. Carlos Felíz-Sánchez, Héctor Pijeira-Cabrera and  Javier Quintero-Roba. Asymptotic for Orthogonal Polynomials with Respect to a Rational Modification of a Measure Supported on the Semi-Axis, Mathematics (2024), 12(7), 1082.

  2. Héctor Pijeira-Cabrera, Javier Quintero-Roba and Juan Toribio-Milane. Differential Properties of Jacobi-Sobolev Polynomials and Electrostatic Interpretation, Mathematics (2023), 11(15), 3420.

  3. Abel Díaz-González, Juan Hernández  and Héctor Pijeira-Cabrera. Sequentially Ordered Sobolev Inner Product and Laguerre–Sobolev Polynomials, Mathematics (2023), 11(8), 1956.

  4. H. Pijeira, L. Decalo and I. Pérez, Hessenberg–Sobolev Matrices and Favard Type Theorem, Bull. Malays. Math. Sci. Soc. 46, 40 (2023).  

  5. A. Díaz, H. Pijeira and J. Quintero Roba, Polynomials of least deviation from zero in Sobolev p-norm, Bull. Malays. Math. Sci. Soc. 45 (2022), 889–912. 

  6. Abel Díaz, Francisco Marcellán, Héctor Pijeira and  Wilfredo Urbina, Discrete–Continuous Jacobi–Sobolev Spaces and Fourier Series, Bull. Malays. Math. Sci. Soc. (2021). 44, 571-598.  

  7. A. Díaz, G. López and H. Pijeira, Asymptotic zero distribution for a class of extremal polynomials, Bull. . Math. Sci.,  11, No.1, 1950019 (2021),  1-18.

  8. Abel Díaz, Héctor Pijeira and Ignacio Pérez, Rational Approximation and Sobolev-type Orthogonality, J. Approx. Theory,  260 (2020), 105481(1-19).

  9. Manuel Bello, Héctor Pijeira and Daniel Rivero, Integrals and Iterated Integrals and   Borwein–Chen–Dilcher Polynomials, Mediterr. J. Math. , 17:148 (2020), 1660-5446/20/050001-19.  

  10. H. Pijeira and D. Rivero,   Iterated Integrals of Jacobi Polynomials, Bull. Malays. Math. Sci. Soc., 43 (2020), 2745-2756..

  11. J. Borrego and H. Pijeira, Differential orthogonality: Laguerre and Hermite cases with applications, J. Approx. Theory, 196 (2015), 111-130.

  12. D. Rivero, H. Pijeira and P. Assunçao, Edge Detection Based on Krawtchouk Polynomials, J. Comp. Appl. Math., 284 (2015), 244-250.

  13. E. Huertas, F. Marcellán and H. Pijeira, An electrostatic model or zeros of perturbed Laguerre polynomials, Proc. Amer. Math. Soc., 42 (2014), 1733–1747.

  14. J. Borrego and H. Pijeira, Orthogonality with respect to a Jacobi differential operator and applications, J. Math. Anal. Appl., 404 (2013), 491–500.

  15. F. Marcellán, A. Mendes and H. Pijeira, Bases of the space of solutions of some fourth-order linear difference equations: applications in rational approximation, J. Difference Equ. Appl., 19 (2013), 1632–1644.

  16. H. Pijeira, Y. Quintana and José M. Rodríguez, Sobolev formal orthogonality on algebraic curves and extensions of Favard theorem, Jaen J. Approx., 3 (2011), 193–207.

  17. J. Bello, H. Pijeira, C. Márquez, and W. Urbina, Sobolev-Gegenbauer-type orthogonality and a hydrodynamical interpretation, Integral Transform. Spec. Funct. 22 (2011), 711–722.

  18. H. Pijeira, J. Bello and W. Urbina, On Polar Legendre Polynomials, Rocky Mountain J. Math. 40 (2010), 2025–2036.<

  19. C. Díaz, R. Orive and H. Pijeira, Zeros and Logarithmic Asymptotics of Contracted Sobolev Orthogonal Polynomials for Exponential Weights, J. Comp. Appl. Math., 233 (2009) 691-698.

  20. C. Díaz, R. Orive and H. Pijeira, Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality, J. Math. Anal. Appl. 346 (2008) 480-48.

  21. G. López, A. Martínez, I. Pérez and H. Pijeira, Strong Asymptotics for Sobolev Orthogonal Polynomials in the complex plane, J. Math. Anal. Appl., 340 (2008), 521-535.

  22. G. López, F. Marcellán and H. Pijeira, Logarithmic asymptotic of contracted Sobolev extremal polynomials on the real line, J. Approx. Theory, 143 (2006), 62-73.

  23. G. López, I. Pérez and H. Pijeira, Asymptotic of extremal Sobolev polynomials in the complex plane, J. Approx. Theory, 137 (2005), 226-237.

  24. H. Pijeira, Y. Quintana and W. Urbina, Zero location and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev, Revista Colombiana de Matemáticas, 35 (2001), 77-97.

  25. A. Fundora, H. Pijeira and W. Urbina, Asymptotic Behavior of Orthogonal Polynomials Primitives, Margarita Mathematica en memoria de José Javier (Chicho) Guadalupe Hernández, Servicio de Publicaciones de la Univ. de La Rioja, Logroño, Spain, (2001), 626-632.

  26. G. López, H. Pijeira and I. Pérez, Sobolev orthogonal polynomials in the complex plane, J. Comp. Appl. Math., 127 (2001), 219-230.

  27. A. Martínez and H. Pijeira, Strong asymptotics for Sobolev orthogonal polynomials, J. d'Analyse Mathematique, 78 (1999), 143-156.

  28. D. Barrios, G. López, and H. Pijeira, The moment problem for a Sobolev inner product, J. Approx. Theory, 100 (1999), 364-380.

  29. G. López and H. Pijeira, Zero location and n-th root asymptotics de Sobolev orthogonal polynomials, J. Approx. Theory, 99 (1999), 30-43.

  30. A. Martínez, J. J. Moreno, and H. Pijeira, Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials, J. Comp. Appl. Math., 81 (1997), 211-216.

  31. G. López and H. Pijeira, Condiciones para la convergencia de los aproximantes multipuntuales de Padé para funciones meromorfas de tipo Markov, Rev. Ciencias Técnicas, Físicas y Matemáticas, Academia de Ciencias de Cuba, 5 (1984), 75-97.

Books

• G. López and H. Pijeira, Polinomios Ortogonales, Centro de Estudios Avanzados - Instituto Venezolano de Investigaciones Científicas, ISBN  980-261-064-X, Caracas, Venezuela. Edición revisada 2022 (in spanish).

• H. Pijeira, Theory of Moments and Asymptotics Properties for Sobolev Orthogonal Polynomials, Doctoral Dissertation, UC3M, 1998 (in spanish). DOI: 10.13140/RG.2.1.4382.9920

• Guillermo López Lagomasino: Collected Papers, Volume I: 1978-1997, UC3M, 2018.

• Guillermo López Lagomasino: Collected Papers, Volume II: 1998-2007, UC3M, 2018.

• Guillermo López Lagomasino: Collected Papers, Volume III: 2008-2018, UC3M, 2018.