Publications

    2016-

  1. M. A. Piñar, Y. Xu, Best polynomial approximation on the unit ball. IMA Journal of Numerical Analysis 38 (3) (2018), 1209–1228.
    doi:10.1093/imanum/drx026
    arXiv:1609.05515

  2. F. Marcellán, M. Marriaga, T. E. Pérez, M. A. Piñar, On bivariate classical orthogonal polynomials. Appl. Math. Comput. 325 (2018), 340-357.
    MR3759149

  3. F. Marcellán, M. Marriaga, T. E. Pérez, M. A. Piñar, Matrix Pearson equations satisfied by Koornwinder weights in two variables. Acta Appl. Math. 153 (2018), 81-100.
    arXiv:1411.2268
    MR3745731

  4. M. Marriaga, T. E. Pérez, M. A. Piñar, Three term relations for a class of bivariate polynomials. Medit. J. Math. 14 (2017), no. 2, Art. 54, 26 pp.
    MR3619416

  5. A. M. Delgado, L. Fernández, D. S. Lubinsky, T. E. Pérez, M. A. Piñar, Sobolev orthogonal polynomials on the unit ball via outward derivatives. J. Math. Anal. Appl. 440 (2016), 716-740.
    arXiv:1512.01064
    MR3484991

  6. A. M. Delgado, L. Fernández, T. E. Pérez, M. A. Piñar, Multivariate orthogonal polynomials and modified moment functionals. SIGMA Symmetry Integrability Geom. Methods Appl. 12 (2016), paper no. 090, 25 pp.
    arXiv:1601.07194
    MR3545477

  7. Martínez, Clotilde; Piñar, Miguel A.; Orthogonal polynomials on the unit ball and fourth order partial differential equations, SIGMA 12 (2016), 020, 11 pages.
    doi:10.3842/SIGMA.2016.020
    arXiv:1511.07056

    8. 2011-2015

  8. Fernández, Lidia; Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan; Sobolev orthogonal polynomials on product domains, J. Comput. Appl. Math. 284 (2015), 202-215.
    doi:10.1016/j.cam.2014.09.015
    MR3319504

  9. Dueñas, Herbert; Garza, Luis; Piñar, Miguel A.; A higher order Sobolev-type inner product for orthogonal polynomials in several variables. Numer. Algorithms 68 (2015), 35-46.
    doi:10.1007/s11075-014-9836-x
    MR3296697

  10. Bracciali, Cleonice F.; Pérez, Teresa E.; Piñar, Miguel A.; Stieltjes functions and discrete classical orthogonal polynomials. Comput. Appl. Math. 32 (2013), 537-547.
    MR3120139

  11. Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan; Weighted Sobolev orthogonal polynomials on the unit ball. J. Approx. Theory 171 (2013), 84-104.
    MR3053718

  12. Delgado, Antonia M.; Pérez, Teresa E.; Piñar, Miguel A.; Sobolev-type orthogonal polynomials on the unit ball. J. Approx. Theory 170 (2013), 94-106.
    MR3044047

  13. Mello, Mirella V.; Paschoa, Vanessa G.; Pérez, Teresa E.; Piñar, Miguel A.; Multivariate Sobolev-type orthogonal polynomials. Jaen J. Approx. 3(2) (2011), 241-259.
    MR2954375

  14. Delgado, Antonia M.; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; On the Uvarov modification of two variable orthogonal polynomials on the disk. Complex Anal. Oper. Theory 6 (3) (2012), 665-676.
    MR2944078

  15. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; On Koornwinder classical orthogonal polynomials in two variables. J. Comput. Appl. Math. 236 (2012), 3817-3826.
    MR2923514

  16. Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A.; A generating function for non-standard orthogonal polynomials involving differences: the Meixner case. Ramanujan J. 25 (2011), 21-35.
    MR2787289

  17. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Orthogonal polynomials in two variables as solutions of higher order partial differential equations. J. Approx. Theory 163 (2011), 84-97
    MR2741221

    18. 2006-2010

  18. Bracciali, Cleonice; Delgado, Antonia M.; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; New steps on Sobolev orthogonality in two variables. J. Comput. Appl. Math. 235 (2010), 916–926.
    MR2727629

  19. Delgado, Antonia M.; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan; Orthogonal polynomials in several variables for measures with mass points. Numer. Algorithms 55 (2010), 245-264
    MR2720631

  20. Lamblém, R. L.; McCabe, J. H.; Piñar, M. A.; Sri Ranga, A. Szegő type polynomials and para-orthogonal polynomials. J. Math. Anal. Appl. 370 (2010), 30–41.
    MR2651127

  21. Fernández, Lidia; Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Recent Trends on Two Variable Orthogonal Polynomials Differential algebra, complex analysis and orthogonal polynomials, 59-86, Contemporary Mathematics, 509, American Mathematical Society, Providence, RI, 2010.
    MR2647637

  22. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan; Krall-type ortogonal polynomials in several variables. J. Comput. Appl. Math. 233 (2010), 1519-1524.
    MR2559340

  23. Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Bivariate ortogonal polynomials in the Lyskova class. J. Comput. Appl. Math. 233 (2009), 597-601.
    MR2582991

  24. Piñar, Miguel A.; Xu, Yuan; Orthogonal Polynomials and Partial Differential Equations on the Unit Ball. Proc. Amer. Math. Soc. 137 (2009), 2979-2987.
    MR2506456

  25. Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; A matrix Rodrigues formula for classical orthogonal polynomials in two variables. J. Approx. Theory 157 (2009), 32-52.
    MR2500152

  26. Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; A Stieltjes function in two variables. Approximation Theory XII: San Antonio 2007, 1-13, Nashboro Press, Brentwood, TN, 2008.
    MR2537115

  27. Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; A semiclassical perspective on multivariate orthogonal polynomials. J. Comput. Appl. Math. 214 (2008), 447-456.
    MR2398345 (2009d:42064)

  28. Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; On differential properties for multivariate orthogonal polynomials. Numer. Algorithms 45 (2007), no. 1-4, 153-166.
    MR2355979 (2008h:42042)

  29. Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. Semiclassical orthogonal polynomials in two variables. J. Comput. Appl. Math. 207 (2007), 323-330.
    MR2345250 (2008i:42052)

  30. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Second--order partial differential equations for gradients of orthogonal polynomials in two variables. J. Comput. Appl. Math. 199 (2007), 113-121.
    MR2267536 (2007m:33036)

    31. 2001-2005

  31. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; On multivariate classical orthogonal polynomials. Rend. Circ. Mat. Palermo (2) Suppl. No. 76 (2005), 315-329.
    MR2178443 (2006m:42042)

  32. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Classical orthogonal polynomials in two variables: a matrix approach. Numer. Algorithms 39 (2005), no. 1-3, 131-142.
    MR2137747 (2006a:42036)

  33. Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Weak classical orthogonal polynomials in two variables. J. Comput. Appl. Math. 178 (2005), no. 1-2, 191-203.
    MR2127879 (2006b:33018)

  34. Meijer, H. G.; Piñar, M. A. A generating function for Laguerre-Sobolev orthogonal polynomials. J. Approx. Theory 120 (2003), no. 1, 111-123.
    MR1954934 (2004a:33021)

  35. De Morales, María Álvarez; Pérez, Teresa E.; Piñar, Miguel A. Orthogonal polynomials associated with a Delta-Sobolev inner product. J. Difference Equ. Appl. 8 (2002), no. 2, 125-151.
    MR1882484 (2003h:33007)

  36. Alfaro, Manuel; Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A.; Rezola, M. Luisa Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs. Proceedings of the Fifth International Symposium on Orthogonal Polynomials, Special Functions and their Applications (Patras, 1999). J. Comput. Appl. Math. 133 (2001), no. 1-2, 141-150.
    MR1858274 (2002k:33005)

  37. Yakhlef, Hossain O.; Marcellán, Francisco; Piñar, Miguel A. Perturbations in the Nevai matrix class of orthogonal matrix polynomials. Linear Algebra Appl. 336 (2001), 231-254.
    MR1855403 (2002i:42037)

  38. Yakhlef, Hossain O.; Marcellán, Francisco; Piñar, Miguel A. Relative asymptotics for orthogonal matrix polynomials with convergent recurrence coefficients. J. Approx. Theory 111 (2001), no. 1, 1-30.
    MR1840018 (2002d:41044)

    39. 1996-2001

  39. Álvarez de Morales, María; Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A. Nondiagonal Hermite-Sobolev orthogonal polynomials. Proceedings of the International Conference on Rational Approximation, ICRA99 (Antwerp).Acta Appl. Math. 61 (2000), no. 1-3, 257-266.
    MR1783293 (2001i:42036)

  40. García-Caballero, Esther M.; Pérez, Teresa E.; Piñar, Miguel A. Hermite interpolation and Sobolev orthogonality. Proceedings of the International Conference on Rational Approximation, ICRA99 (Antwerp). Acta Appl. Math. 61 (2000), no. 1-3, 87-99.
    MR1783285 (2001h:33011)

  41. Alfaro, Manuel; Rezola, M. Luisa; Pérez, Teresa E.; Piñar, Miguel A. On symmetric differential operators associated with Sobolev orthogonal polynomials: a characterization. Proceedings of the International Conference on Rational Approximation, ICRA99 (Antwerp). Acta Appl. Math. 61 (2000), no. 1-3, 3-14.
    MR1783278 (2001g:42048)

  42. Meijer, Henk G.; Pérez, Teresa E.; Piñar, Miguel A. Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Laguerre type. J. Math. Anal. Appl. 245 (2000), no. 2, 528-546.
    MR1758554 (2001h:42036)

  43. Alfaro, M.; Pérez, T. E.; Piñar, M. A.; Rezola, M. L. Sobolev orthogonal polynomials: the discrete-continuous case. Methods Appl. Anal. 6 (1999), no. 4, 593-616.
    MR1795525 (2001i:42035)

  44. García-Caballero, Esther M.; Pérez, Teresa E.; Piñar, Miguel A. Sobolev orthogonal polynomials: interpolation and approximation. Orthogonal polynomials: numerical and symbolic algorithms (Leganés, 1998). Electron. Trans. Numer. Anal. 9 (1999), 56-64 (electronic).
    MR1749798 (2001e:42033)

  45. Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André Non-standard orthogonality for Meixner polynomials. Orthogonal polynomials: numerical and symbolic algorithms (Leganés, 1998). Electron. Trans. Numer. Anal. 9 (1999), 1-25 (electronic).
    MR1749794 (2001f:33007)

  46. Meijer, Henk G.; Piñar, Miguel A. Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Jacobi type. J. Comput. Appl. Math. 108 (1999), no. 1-2, 87-97.
    MR1705729 (2000j:42039)

  47. Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A. Sobolev orthogonality for the Gegenbauer polynomials $\{C\sb n\sp {(-N+1/2)}\}\sb {n\geq 0}$. J. Comput. Appl. Math. 100 (1998), no. 1, 111-120.
    MR1658734 (99k:33019)

  48. Pérez, Teresa E.; Piñar, Miguel A. Sobolev orthogonality and properties of the generalized Laguerre polynomials. Orthogonal functions, moment theory, and continued fractions (Campinas, 1996), 375-385, Lecture Notes in Pure and Appl. Math., 199, Dekker, New York, 1998.
    MR1655670 (99k:33018)

  49. de Morales, María Álvarez; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André Orthogonal polynomials associated with a nondiagonal Sobolev inner product with polynomial coefficients. Orthogonal functions, moment theory, and continued fractions (Campinas, 1996), 343-358, Lecture Notes in Pure and Appl. Math., 199, Dekker, New York, 1998.
    MR1655668 (99k:33017)

  50. Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A. Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures. J. Approx. Theory 92 (1998), no. 2, 280-293.
    MR1604939 (98m:42038)

  51. Marcellán, Francisco; Meijer, Henk G.; Pérez, Teresa E.; Piñar, Miguel A. An asymptotic result for Laguerre-Sobolev orthogonal polynomials. J. Comput. Appl. Math. 87 (1997), no. 1, 87-94.
    MR1488822 (99a:33006)

  52. Pérez, Teresa E.; Piñar, Miguel A. On Sobolev orthogonality for the generalized Laguerre polynomials. J. Approx. Theory 86 (1996), no. 3, 278-285.
    MR1405981 (97j:33017)

  53. Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. Laguerre-Sobolev orthogonal polynomials. J. Comput. Appl. Math. 71 (1996), no. 2, 245-265.
    MR1399895 (97h:33018)

  54. Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André General Sobolev orthogonal polynomials. J. Math. Anal. Appl. 200 (1996), no. 3, 614-634.
    MR1393104 (97f:42040)

    55. 1991-1995

  55. Marcellán, Francisco; Petronilho, José C.; Pérez, Teresa E.; Piñar, Miguel A. What is beyond coherent pairs of orthogonal polynomials? Proceedings of the International Conference on Orthogonality, Moment Problems and Continued Fractions (Delft, 1994). J. Comput. Appl. Math. 65 (1995), no. 1-3, 267-277.
    MR1379136 (96m:42042)

  56. Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. Regular Sobolev type orthogonal polynomials: the Bessel case. Rocky Mountain J. Math. 25 (1995), no. 4, 1431-1457.
    MR1371348 (97f:33015)

  57. Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. Orthogonal polynomials on weighted Sobolev spaces: the semiclassical case. Special functions (Torino, 1993). Ann. Numer. Math. 2 (1995), no. 1-4, 93-122.
    MR1343524 (97a:33023)

  58. Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. Gegenbauer-Sobolev orthogonal polynomials. Nonlinear numerical methods and rational approximation, II (Wilrijk, 1993), 71-82, Math. Appl., 296, Kluwer Acad. Publ., Dordrecht, 1994.
    MR1307190 (95m:42032)

  59. Pérez, Teresa E.; Piñar, Miguel A. Global properties of zeros for Sobolev-type orthogonal polynomials. Proceedings of the Seventh Spanish Symposium on Orthogonal Polynomials and Applications (VII SPOA) (Granada, 1991). J. Comput. Appl. Math. 49 (1993), no. 1-3, 225-232.
    MR1256030 (94m:42059)

  60. Piñar, Miguel A.; Pérez, Teresa E. On higher order Padé-type approximants with some prescribed coefficients in the numerator. Extrapolation and rational approximation (Puerto de la Cruz, 1992). Numer. Algorithms 3 (1992), no. 1-4, 345-352.
    MR1199381 (93k:65005)

  61. Marcellán, F.; Pérez, T. E.; Piñar, M. A. On zeros of Sobolev-type orthogonal polynomials. Rend. Mat. Appl. (7) 12 (1992), no. 2, 455-473.
    MR1185903 (94f:33015)

  62. Pérez Fernández, T.; Piñar González, M. Properties of the Bernstein-Jacobi operator in Cr[0,1]. (Spanish) Proceedings of the XVth Portuguese-Spanish Conference on Mathematics, Vol. V (Portuguese) (Évora, 1990), 143-148, Univ. Évora, Évora, 1991.
    MR1161874 (93a:65016)

    63. 1985-1990

  63. Piñar, M.; Ramírez, V. Reproducing kernels for lacunary functionals. (Spanish) Proceedings of the Third Symposium on Orthogonal Polynomials and Applications (Spanish) (Segovia, 1985), 79-90, Univ. Politéc. Madrid, Madrid, 1989.
    MR1108403 (92f:42032)

  64. Piñar, M. A.; Ramírez, V. Inversion of Toeplitz matrices. Orthogonal polynomials and their applications (Laredo, 1987), 171-177, Lecture Notes in Pure and Appl. Math., 117, Dekker, New York, 1989.
    MR1006230 (90g:65036)

  65. Piñar, M. A.; Ramírez, V. Recursive inversion of Hankel matrices. Second International Symposium (Segovia, 1986): "On Orthogonal Polynomials and their Applications", 119-128, Monogr. Acad. Ci. Exact. Fís.-Quím. Nat. Zaragoza, 1, Acad. Cienc. Exact. Fís. Quím. Nat. Zaragoza, Zaragoza, 1988.
    MR1004687 (90h:65039)

  66. Piñar, M.; Ramírez, V. Matrix interpretation of formal orthogonal polynomials for nondefinite functionals. J. Comput. Appl. Math. 18 (1987), no. 3, 265-277.
    MR0898768 (88h:65063)

  67. Piñar González, Miguel Angel Gauss quadrature formulas associated with a not necessarily definite functional. (Spanish) Proceedings of the seventh congress on differential equations and applications (Granada, 1984), 329-334, Univ. Granada, Granada, 1985.
    MR0793790

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