miguel.pinar - Publications List

DOI

María Álvarez de Morales, Lidia Fernández, Teresa E Pérez, Miguel A Piñar (2008) A semiclassical perspective on multivariate orthogonal polynomials J. Comput. Appl. Math. 214: 2. 447-456

Abstract: Differential properties for orthogonal polynomials in several variables are studied. We consider multivariate orthogonal polynomials whose gradients satisfy some quasi-orthogonality conditions. We obtain several characterizations for these polynomials including the analogues of the semiclassical Pearson differential equation, the structure relation and a differential-difference equation.

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Journal articles

2008	DOI María Álvarez de Morales, Lidia Fernández, Teresa E Pérez, Miguel A Piñar (2008) A semiclassical perspective on multivariate orthogonal polynomials J. Comput. Appl. Math. 214: 2. 447-456 Abstract: Differential properties for orthogonal polynomials in several variables are studied. We consider multivariate orthogonal polynomials whose gradients satisfy some quasi-orthogonality conditions. We obtain several characterizations for these polynomials including the analogues of the semiclassical Pearson differential equation, the structure relation and a differential-difference equation. Notes:
2007	Lidia Fernández, Teresa E Pérez, Miguel A Piñar (2007) Second order partial differential equations for gradients of orthogonal polynomials in two variables J. Comput. Appl. Math. 199: 1. 113-121 Abstract: Notes:
	María Álvarez de Morales, Lidia Fernández, Teresa E Pérez, Miguel A Piñar (2007) Semiclassical orthogonal polynomials in two variables J. Comput. Appl. Math. 207: 2. 323-330 Abstract: Notes:
	María Álvarez de Morales, Lidia Fernández, Teresa E Pérez, Miguel A Piñar (2007) On differential properties for bivariate orthogonal polynomials Numer. Algorithms 45: 1-4. 153-166 Abstract: Notes:
2005	Lidia Fernández, Teresa E Pérez, Miguel A Piñar (2005) Classical orthogonal polynomials in two variables : a matrix approach Numer. Algorithms 39: 1-3. 131-142 Abstract: Notes:

	Lidia Fernández, Teresa E Pérez, Miguel A Piñar (2005) Weak classical orthogonal polynomials in two variables J. Comput. Appl. Math. 178: 1-2. 191-203 Abstract: Notes:
	Lidia Fernández, Teresa E Pérez, Miguel A Piñar (2005) On multivariate classical orthogonal polynomials Rend. Circ. Mat. Palermo (2) Suppl. 76. 315-329 Abstract: Notes:
2003	H G Meijer, M A Piñar (2003) A generating function for Laguerre-Sobolev orthogonal polynomials J. Approx. Theory 120: 1. 111-123 Abstract: Notes:
2002	María Álvarez Álvarez Morales, Teresa E Pérez, Miguel A Piñar (2002) Orthogonal polynomials associated with a Δ-Sobolev inner product J. Difference Equ. Appl. 8: 2. 125-151 Abstract: Notes:
2001	Hossain O Yakhlef, Francisco Marcellán, Miguel A Piñar (2001) Relative asymptotics for orthogonal matrix polynomials with convergent recurrence coefficients J. Approx. Theory 111: 1. 1-30 Abstract: Notes:
	Hossain O Yakhlef, Francisco Marcellán, Miguel A Piñar (2001) Perturbations in the Nevai matrix class of orthogonal matrix polynomials Linear Algebra Appl. 336: 231-254 Abstract: Notes:
2000	Henk G Meijer, Teresa E Pérez, Miguel A Piñar (2000) Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Laguerre type J. Math. Anal. Appl. 245: 2. 528-546 Abstract: Notes:
1999	María Álvarez de Morales, Teresa E Pérez, Miguel A Piñar, André Ronveaux (1999) Non-standard orthogonality for Meixner polynomials Electron. Trans. Numer. Anal. 9: 1-25 Abstract: Notes: Orthogonal polynomials: numerical and symbolic algorithms (LeganÃ©s, 1998)
	Henk G Meijer, Miguel A Piñar (1999) Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Jacobi type J. Comput. Appl. Math. 108: 1-2. 87-97 Abstract: Notes:
	Esther M García-Caballero, Teresa E Pérez, Miguel A Piñar (1999) Sobolev orthogonal polynomials : interpolation and approximation Electron. Trans. Numer. Anal. 9: 56-64 Abstract: Notes: Orthogonal polynomials: numerical and symbolic algorithms (LeganÃ©s, 1998)

	M Alfaro, T E Pérez, M A Piñar, M L Rezola (1999) Sobolev orthogonal polynomials : the discrete-continuous case Methods Appl. Anal. 6: 4. 593-616 Abstract: Notes:
1998	Andrei Martínez-Finkelshtein, Juan J Moreno-Balcázar, Teresa E Pérez, Miguel A Piñar (1998) Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures J. Approx. Theory 92: 2. 280-293 Abstract: Notes:
	María Álvarez de Morales, Teresa E Pérez, Miguel A Piñar (1998) Sobolev orthogonality for the Gegenbauer polynomials $C\sb n\sp (-N+1/2)\sb n\geq 0$ J. Comput. Appl. Math. 100: 1. 111-120 Abstract: Notes:
1997	Francisco Marcellán, Henk G Meijer, Teresa E Pérez, Miguel A Piñar (1997) An asymptotic result for Laguerre-Sobolev orthogonal polynomials J. Comput. Appl. Math. 87: 1. 87-94 Abstract: Notes:
1996	Francisco Marcellán, Teresa E Pérez, Miguel A Piñar, André Ronveaux (1996) General Sobolev orthogonal polynomials J. Math. Anal. Appl. 200: 3. 614-634 Abstract: Notes:
	Francisco Marcellán, Teresa E Pérez, Miguel A Piñar (1996) Laguerre-Sobolev orthogonal polynomials J. Comput. Appl. Math. 71: 2. 245-265 Abstract: Notes:
	Teresa E Pérez, Miguel A Piñar (1996) On Sobolev orthogonality for the generalized Laguerre polynomials J. Approx. Theory 86: 3. 278-285 Abstract: Notes:
1995	Francisco Marcellán, Teresa E Pérez, Miguel A Piñar (1995) Orthogonal polynomials on weighted Sobolev spaces : the semiclassical case Ann. Numer. Math. 2: 1-4. 93-122 Abstract: Notes: Special functions (Torino, 1993)
	Francisco Marcellán, Teresa E Pérez, Miguel A Piñar (1995) Regular Sobolev type orthogonal polynomials : the Bessel case Rocky Mountain J. Math. 25: 4. 1431-1457 Abstract: Notes:
1992	F Marcellán, T E Pérez, M A Piñar (1992) On zeros of Sobolev-type orthogonal polynomials Rend. Mat. Appl. (7) 12: 2. 455-473 Abstract: Notes:
	Miguel A Piñar, Teresa E Pérez (1992) On higher order Padé-type approximants with some prescribed coefficients in the numerator Numer. Algorithms 3: 1-4. 345-352 Abstract: Notes: Extrapolation and rational approximation (Puerto de la Cruz, 1992)
1987	M Piñar, V Ramírez (1987) Matrix interpretation of formal orthogonal polynomials for nondefinite functionals J. Comput. Appl. Math. 18: 3. 265-277 Abstract: Notes:
Book chapters

1998	María Álvarez de Morales, Teresa E Pérez, Miguel A Piñar, André Ronveaux (1998) Orthogonal polynomials associated with a nondiagonal Sobolev inner product with polynomial coefficients In: Orthogonal functions, moment theory, and continued fractions (Campinas, 1996) 343-358 New York: Dekker Abstract: Notes:
	Teresa E Pérez, Miguel A Piñar (1998) Sobolev orthogonality and properties of the generalized Laguerre polynomials In: Orthogonal functions, moment theory, and continued fractions (Campinas, 1996) 375-385 New York: Dekker Abstract: Notes:
1994	Francisco Marcellán, Teresa E Pérez, Miguel A Piñar (1994) Gegenbauer-Sobolev orthogonal polynomials In: Nonlinear numerical methods and rational approximation, II (Wilrijk, 1993) 71-82 Dordrecht: Kluwer Acad. Publ. Abstract: Notes:
1989	M A Piñar, V Ramírez (1989) Inversion of Toeplitz matrices In: Orthogonal polynomials and their applications (Laredo, 1987) 171-177 New York: Dekker Abstract: Notes:
1988	M A Piñar, V Ramírez (1988) Recursive inversion of Hankel matrices In: Second International Symposium (Segovia, 1986) : “On Orthogonal Polynomials and their Applications” 119-128 Zaragoza: Acad. Cienc. Exact. Fí s. Quí m. Nat. Zaragoza Abstract: Notes:
Conference papers

2001	Manuel Alfaro, Juan J Moreno-Balcázar, Teresa E Pérez, Miguel A Piñar, M Luisa Rezola (2001) Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs In: Proceedings of the Fifth International Symposium on Orthogonal Polynomials, Special Functions and their Applications (Patras, 1999) 141-150 Abstract: Notes:
2000	Manuel Alfaro, M Luisa Rezola, Teresa E Pérez, Miguel A Piñar (2000) On symmetric differential operators associated with Sobolev orthogonal polynomials : a characterization In: Proceedings of the International Conference on Rational Approximation, ICRA99 (Antwerp) 3-14 Abstract: Notes:
	María Álvarez de Morales, Juan J Moreno-Balcázar, Teresa E Pérez, Miguel A Piñar (2000) Nondiagonal Hermite-Sobolev orthogonal polynomials In: Proceedings of the International Conference on Rational Approximation, ICRA99 (Antwerp) 257-266 Abstract: Notes:
	Esther M García-Caballero, Teresa E Pérez, Miguel A Piñar (2000) Hermite interpolation and Sobolev orthogonality In: Proceedings of the International Conference on Rational Approximation, ICRA99 (Antwerp) 87-99 Abstract: Notes:
1995	Francisco Marcellán, José C Petronilho, Teresa E Pérez, Miguel A Piñar (1995) What is beyond coherent pairs of orthogonal polynomials? In: Proceedings of the International Conference on Orthogonality, Moment Problems and Continued Fractions (Delft, 1994) 267-277 Abstract: Notes:
1993	Teresa E Pérez, Miguel A Piñar (1993) Global properties of zeros for Sobolev-type orthogonal polynomials In: Proceedings of the Seventh Spanish Symposium on Orthogonal Polynomials and Applications (VII SPOA) (Granada, 1991) 225-232 Abstract: Notes:
1991	T Pérez Fernández, M Piñar González (1991) Properties of the Bernstein-Jacobi operator in $C\sp r[0,1]$ In: Proceedings of the XVth Portuguese-Spanish Conference on Mathematics, Vol.\ V (Portuguese) (Évora, 1990) 143-148 Évora: Univ. Évora Abstract: Notes:
1989	M Piñar, V Ramírez (1989) Reproducing kernels for lacunary functionals In: Proceedings of the Third Symposium on Orthogonal Polynomials and Applications (Spanish) (Segovia, 1985) 79-90 Madrid: Univ. Politéc. Madrid Abstract: Notes:
1985	Miguel Angel Piñar González (1985) Gauss quadrature formulas associated with a not necessarily definite functional In: Proceedings of the seventh congress on differential equations and applications (Granada, 1984) 329-334 Granada: Univ. Granada Abstract: Notes:

Journal articles

Book chapters

Conference papers