Research

Areas Of Specialization

• Approximation Theory, Orthogonal Polynomials and Special Functions
• Numerical Analysis
• Computer Algebra

Appointments And Membership

• Member of the Department of Applied Mathematics of the University of Granada
• Member of IEMath-Granada Math Institute of the University of Granada
• Member of the research workgroup "Orthogonality and Applications Group (GOYA)", code FQM 384 of Junta de Andalucía

Former Ph. D. Students

• Teresa E. Pérez Fernández, "Orthogonal Polynomials associated with Sobolev Inner Product; the continuous case" (coadvised with F. Marcellán), 1994.
• Juan José Moreno Balcázar, "Analytic properties of continuous Sobolev orthogonal polynomials" (coadvised with A. Martínez-Finkelshtein), 1997.
• María Álvarez de Morales Mercado, "Non standar orthogonality for Classical Orthogonal Polynomials" (coadvised with T. E. Pérez), 1998.
• Hossain Oulad Yakhlef, "Perturbations in matrix measures and Orthogonal Polynomials" (coadvised with F. Marcellán), 2000.
• Esther María García Caballero, "Generating Funtions for non standar Orthogonal Polynomials" (coadvised with F. Marcellán), 2003.
• Misael Marriaga Castillo, "On semiclassical families of bivariate orthogonal polynomials" (coadvised with F. Marcellán and T. E. Pérez), 2017.
  

Research Projects With Financial Support

• "Ortogonalidad, Aproximación y Complejidad Cuántica: Teoría y Aplicaciones Científicas y Tecnológicas", Proyectos de Excelencia de la Junta de Andalucía P09-FQM-4643. Coordinator: Antonio J. Durán Guardeño (University of Seville) (2010-2013).
• "Multivariate Orthogonal Polynomials. Structural Properties and Applications" , Research project MTM2011-28952-C02-02 by Ministerio de Ciencia e Innovación (MICINN) of Spain and by the European Regional Development Fund (ERDF). Coordinator of the subproject: Miguel A. Piñar (University of Granada) (2011-2013).
• "Teoría de la aproximación, funciones especiales y modelos matemáticos: de la teoría a las aplicaciones oftalmológicas" Proyectos de Excelencia de la Junta de Andalucía P11-FQM-7276. Coordinator: Andrei Martínez Finkelshtein (Universidad de Almería) (2013-2017).
• "Properties of Multivariate Orthogonal Polynomials. Applications" , Research project MTM2014-53171-P by Ministerio de Economiía y Competitividad (MINECO) of Spain and by the European Regional Development Fund (ERDF). Coordinator of the project: Miguel A. Piñar (University of Granada) (2015-2018).

Co-authors (by number of collaborations)