Proyecto de investigación/Research Project

Polinomios Ortogonales Multivariados. Propiedades estructurales y aplicaciones (POMPEYA)

(Multivariate Orthogonal Polynomials. Structural Properties and Applications)

MTM2008-06689-C02-02 (subproyecto de MTM2008-06689-C02)

Desde (From) 01/01/2009 hasta (until) 31/12/2011

Coordinador: Prof. Dr. Miguel A. Piñar González (Universidad de Granada)

 

Miembros del grupo (members):

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Publicaciones (list of publications)

Enviados:

  1. C. F. Bracciali, L. Fernández, T. E. Pérez, M. A. Piñar, On orthogonal Laurent polynomials in two variables.
  2. T. E. Pérez, M. A. Piñar, Difference equation for a Stieltjes function associated with discrete classical orthogonal polynomials.
  3. M. V. de Mello, V. G. Paschoa, T. E. Pérez, M. A. Piñar, Multivariate Sobolev-type orthogonal polynomials.

 

Aceptados:

  1. A. M. Delgado, L. Fernández, T. E. Pérez, M. A. Piñar, On the Uvarov modification of two variable orthogonal polynomials on the disk, Complex Anal. Oper. Theory.
  2. L. Fernández, T. E. Pérez, M. A. Piñar, On Koornwinder classical orthogonal polynomials in two variables, J. Comput. Appl. Math.
    doi:10.1016/j.cam.2011.08.017

2011:

  1. J. J. Moreno-Balcázar, T. E. Pérez, M. A. Piñar, A generating function for non-standard orthogonal polynomials involving differences: the Meixner case, Ramanujan J. 25 (2011), 21-35.
    MR2787289
  2. L. Fernández, T. E. Pérez, M. A. Piñar, Orthogonal polynomials in two variables as solutions of higher order partial differential equations, J. Approx. Theory 163 (2011), 84-97.
    MR2741221

 

2010:

  1. E. X. L. de Andrade, C. F. Bracciali, M. V. de Mello, T. E. Pérez, Zeros for Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures, Comp. Appl. Math. 29 n. 3 (2010), 423-445.
    MR2740662
  2. C. F. Bracciali, A. M. Delgado, L. Fernández, T. E. Pérez, M. A. Piñar, New steps on Sobolev orthogonality in two variables, J. Comput. Appl. Math. 235 (2010), 916-926.
    MR2727629 (2011g:42063)
  3. R. L. Lamblém, J. H. McCabe, M. A. Piñar, A. Sri Ranga, Szegö type polynomials and para-orthogonal polynomials, J. Math. Anal. Appl. 370 (2010), 30-41.
    MR2651127 (2011g:42066)
  4. A. M. Delgado, L. Fernández, T. E. Pérez, M. A. Piñar, Y. Xu, Orthogonal polynomials in several variables for measures with mass points, Numer. Algorithms 55 (2010), 245-264.
    MR2720631 (2011i:42048)
  5. L. Fernández, F. Marcellán, T. E. Pérez, M. A. Piñar, Recent Trends on Two Variable Orthogonal Polynomials, en Differential Algebra, Complex Analysis and Orthogonal Polynomials, P. Acosta-Humánez and F. Marcellán, eds. Contemporary Mathematics 509, 59-86, American Mathematical Society, Providence, RI, 2010.
    MR2647637 (2011f:42030)
  6. L. Fernández, T. E. Pérez, M. A. Piñar, Y. Xu, Krall-type orthogonal polynomials in several variables, J. Comput. Appl. Math. 233 (2010), 1519-1524.
    MR2559340 (2010j:42049)

 

2009:

  1. M. Álvarez de Morales, L. Fernández, T. E. Pérez, M. A. Piñar, Bivariate orthogonal polynomials in the Lyskova, J. Comput. Appl. Math. 233 (2009), 597-601.
    MR2582991 (2010m:42051)
  2. M. Álvarez de Morales, L. Fernández, T. E. Pérez, M. A. Piñar, A matrix Rodrigues formula for classical orthogonal polynomials in two variables, J. Approx. Theory 157 (2009), 32-52.
    MR2500152 (2010d:33012)
  3. A. M. Delgado, J. S. Geronimo, P. Iliev, Y. Xu, On a two-variable class of Bernstein-Szegö measures, Constr. Approx. 30 (2009), 71-91.
    MR2519655 (2010f:42050)
  4. A. Martínez-Finkelshtein, A. M. Delgado, G. M. Castro, A. Zarzo, J. L. Alió, Comparative Analysis of Some Modal Reconstruction Methods of the Shape of the Cornea from Corneal Elevation Data, Invest. Ophthalmol. Vis. Sci. 50 (2009), 5639-5645.
    IOVS
  5. M. A. Piñar, Y. Xu, Orthogonal polynomials and partial differential equations on the unit ball, Proc. Amer. Math. Soc. 137 (2009), 2979-2987.
    MR2506456 (2010i:42052)

 

Última revisión: 12 de septiembre de 2011