Marriaga, Misael E.; Pérez, Teresa E.; Recarte, Marlon J. Simultaneous approximation via Laplacians on the unit ball. (English) Zbl 07792658 Mediterr. J. Math. 20, No. 6, Paper No. 316, 22 p. (2023). MSC: 46E35 42C05 PDFBibTeX XMLCite \textit{M. E. Marriaga} et al., Mediterr. J. Math. 20, No. 6, Paper No. 316, 22 p. (2023; Zbl 07792658) Full Text: DOI OA License
Marriaga, Misael E.; Pérez, Teresa E.; Piñar, Miguel A.; Recarte, Marlon J. Approximation via gradients on the ball. The Zernike case. (English) Zbl 1526.42040 J. Comput. Appl. Math. 430, Article ID 115258, 23 p. (2023). Reviewer: Alexei Lukashov (Moskva) MSC: 42C05 42A20 33C50 42A10 41A30 46E35 PDFBibTeX XMLCite \textit{M. E. Marriaga} et al., J. Comput. Appl. Math. 430, Article ID 115258, 23 p. (2023; Zbl 1526.42040) Full Text: DOI
Branquinho, Amílcar; Foulquié-Moreno, Ana; Pérez, Teresa E. Quadratic decomposition of bivariate orthogonal polynomials. (English) Zbl 1522.42054 Mediterr. J. Math. 20, No. 3, Paper No. 118, 19 p. (2023). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{A. Branquinho} et al., Mediterr. J. Math. 20, No. 3, Paper No. 118, 19 p. (2023; Zbl 1522.42054) Full Text: DOI arXiv
Branquinho, Amílcar; Foulquié-Moreno, Ana; Pérez, Teresa E.; Piñar, Miguel A. Lax-type pairs in the theory of bivariate orthogonal polynomials. arXiv:2311.05949 Preprint, arXiv:2311.05949 [math.CA] (2023). MSC: 42C05 33C50 35Q53 BibTeX Cite \textit{A. Branquinho} et al., ``Lax-type pairs in the theory of bivariate orthogonal polynomials'', Preprint, arXiv:2311.05949 [math.CA] (2023) Full Text: arXiv OA License
Bracciali, Cleonice F.; Costa, Glalco S.; Pérez, Teresa E. Centrosymmetric and reverse matrices in bivariate orthogonal polynomials. arXiv:2310.08239 Preprint, arXiv:2310.08239 [math.CA] (2023). MSC: 42C05 33C50 15A09 15B99 BibTeX Cite \textit{C. F. Bracciali} et al., ``Centrosymmetric and reverse matrices in bivariate orthogonal polynomials'', Preprint, arXiv:2310.08239 [math.CA] (2023) Full Text: arXiv OA License
Bracciali, Cleonice F.; Costa, Glalco S.; Pérez, Teresa E. Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations. (English) Zbl 1507.42021 J. Difference Equ. Appl. 28, No. 9, 1157-1177 (2022). Reviewer: Lotfi Khériji (Tunis) MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{C. F. Bracciali} et al., J. Difference Equ. Appl. 28, No. 9, 1157--1177 (2022; Zbl 1507.42021) Full Text: DOI arXiv
Aktaş, Rabia; Area, Iván; Pérez, Teresa E. Three term relations for multivariate Uvarov orthogonal polynomials. (English) Zbl 1513.42103 Comput. Appl. Math. 41, No. 7, Paper No. 330, 30 p. (2022). MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{R. Aktaş} et al., Comput. Appl. Math. 41, No. 7, Paper No. 330, 30 p. (2022; Zbl 1513.42103) Full Text: DOI
Fernandez, Lidia; Perez, Teresa; Pinar, Miguel; Xu, Yuan Sobolev orthogonal polynomials on the conic surface. arXiv:2209.08186 Preprint, arXiv:2209.08186 [math.CA] (2022). MSC: 41A10 42C05 42C10 33C45 BibTeX Cite \textit{L. Fernandez} et al., ``Sobolev orthogonal polynomials on the conic surface'', Preprint, arXiv:2209.08186 [math.CA] (2022) Full Text: arXiv OA License
Bracciali, Cleonice F.; Pérez, Teresa E. Mixed orthogonality on the unit ball. (English) Zbl 1476.42020 Comput. Appl. Math. 40, No. 8, Paper No. 274, 30 p. (2021). MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{C. F. Bracciali} and \textit{T. E. Pérez}, Comput. Appl. Math. 40, No. 8, Paper No. 274, 30 p. (2021; Zbl 1476.42020) Full Text: DOI
Marriaga, Misael E.; Pérez, Teresa E.; Piñar, Miguel A. Bivariate Koornwinder-Sobolev orthogonal polynomials. (English) Zbl 1482.42068 Mediterr. J. Math. 18, No. 6, Paper No. 234, 36 p. (2021). Reviewer: Lotfi Khériji (Tunis) MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{M. E. Marriaga} et al., Mediterr. J. Math. 18, No. 6, Paper No. 234, 36 p. (2021; Zbl 1482.42068) Full Text: DOI
Lizarte, Fátima; Pérez, Teresa E.; Piñar, Miguel A. The radial part of a class of Sobolev polynomials on the unit ball. (English) Zbl 1473.65016 Numer. Algorithms 87, No. 4, 1369-1389 (2021). MSC: 65D15 33C50 42C05 PDFBibTeX XMLCite \textit{F. Lizarte} et al., Numer. Algorithms 87, No. 4, 1369--1389 (2021; Zbl 1473.65016) Full Text: DOI
Marcellán, Francisco; Marriaga, Misael E.; Pérez, Teresa E.; Piñar, Miguel A. Geronimus transformations of bivariate linear functionals. (English) Zbl 1475.42042 J. Math. Anal. Appl. 484, No. 2, Article ID 123736, 30 p. (2020). MSC: 42C05 15A23 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Math. Anal. Appl. 484, No. 2, Article ID 123736, 30 p. (2020; Zbl 1475.42042) Full Text: DOI
Marcellán, Francisco; Marriaga, Misael E.; Pérez, Teresa E.; Piñar, Miguel A. Coherent pairs of bivariate orthogonal polynomials. (English) Zbl 1423.33020 J. Approx. Theory 245, 40-63 (2019). MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Approx. Theory 245, 40--63 (2019; Zbl 1423.33020) Full Text: DOI Link
Marcellán, Francisco; Marriaga, Misael; Pérez, Teresa E.; Piñar, Miguel A. On bivariate classical orthogonal polynomials. (English) Zbl 1428.33025 Appl. Math. Comput. 325, 340-357 (2018). MSC: 33C50 42C05 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Appl. Math. Comput. 325, 340--357 (2018; Zbl 1428.33025) Full Text: DOI
Delgado, Antonia M.; Fernández, Lidia; Pérez, Teresa E. Fourth order partial differential equations for Krall-type orthogonal polynomials on the triangle. (English) Zbl 1400.33021 Proc. Am. Math. Soc. 146, No. 9, 3961-3974 (2018). Reviewer: D. L. Suthar (Dessie) MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{A. M. Delgado} et al., Proc. Am. Math. Soc. 146, No. 9, 3961--3974 (2018; Zbl 1400.33021) Full Text: DOI
Marcellán, Francisco; Marriaga, Misael; Pérez, Teresa E.; Piñar, Miguel A. Matrix Pearson equations satisfied by Koornwinder weights in two variables. (English) Zbl 1403.42031 Acta Appl. Math. 153, No. 1, 81-100 (2018). Reviewer: Manuel D. de la Iglesia (México D. F.) MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Acta Appl. Math. 153, No. 1, 81--100 (2018; Zbl 1403.42031) Full Text: DOI arXiv
Bracciali, Cleonice F.; Pérez, Teresa E. Bivariate orthogonal polynomials, 2D Toda lattices and Lax-type pairs. (English) Zbl 1411.42007 Appl. Math. Comput. 309, 142-155 (2017). MSC: 42C05 33C50 35Q53 PDFBibTeX XMLCite \textit{C. F. Bracciali} and \textit{T. E. Pérez}, Appl. Math. Comput. 309, 142--155 (2017; Zbl 1411.42007) Full Text: DOI Link
Marriaga, Misael; Pérez, Teresa E.; Piñar, Miguel A. Three term relations for a class of bivariate orthogonal polynomials. (English) Zbl 1367.33014 Mediterr. J. Math. 14, No. 2, Paper No. 54, 26 p. (2017). MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{M. Marriaga} et al., Mediterr. J. Math. 14, No. 2, Paper No. 54, 26 p. (2017; Zbl 1367.33014) Full Text: DOI arXiv
Delgado, Antonia M.; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. Multivariate orthogonal polynomials and modified moment functionals. (English) Zbl 1346.33009 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 090, 25 p. (2016). MSC: 33C50 42C10 PDFBibTeX XMLCite \textit{A. M. Delgado} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 090, 25 p. (2016; Zbl 1346.33009) Full Text: DOI arXiv
Delgado, Antonia M.; Fernández, Lidia; Lubinsky, Doron S.; Pérez, Teresa E.; Piñar, Miguel A. Sobolev orthogonal polynomials on the unit ball via outward normal derivatives. (English) Zbl 1342.42023 J. Math. Anal. Appl. 440, No. 2, 716-740 (2016). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{A. M. Delgado} et al., J. Math. Anal. Appl. 440, No. 2, 716--740 (2016; Zbl 1342.42023) Full Text: DOI arXiv
Bracciali, C. F.; McCabe, J. H.; Pérez, T. E.; Ranga, A. Sri A class of orthogonal functions given by a three term recurrence formula. (English) Zbl 1336.42017 Math. Comput. 85, No. 300, 1837-1859 (2016). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 42C05 33C47 65D32 41A05 33C45 PDFBibTeX XMLCite \textit{C. F. Bracciali} et al., Math. Comput. 85, No. 300, 1837--1859 (2016; Zbl 1336.42017) Full Text: DOI arXiv
Fernández, Lidia; Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan Sobolev orthogonal polynomials on product domains. (English) Zbl 1312.33039 J. Comput. Appl. Math. 284, 202-215 (2015). MSC: 33C50 42C10 PDFBibTeX XMLCite \textit{L. Fernández} et al., J. Comput. Appl. Math. 284, 202--215 (2015; Zbl 1312.33039) Full Text: DOI arXiv
Alfaro, Manuel; Peña, Ana; Pérez, Teresa E.; Rezola, M. Luisa On linearly related orthogonal polynomials in several variables. (English) Zbl 1295.42006 Numer. Algorithms 66, No. 3, 525-553 (2014). MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{M. Alfaro} et al., Numer. Algorithms 66, No. 3, 525--553 (2014; Zbl 1295.42006) Full Text: DOI arXiv
Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan Weighted Sobolev orthogonal polynomials on the unit ball. (English) Zbl 1281.42026 J. Approx. Theory 171, 84-104 (2013). MSC: 42C05 PDFBibTeX XMLCite \textit{T. E. Pérez} et al., J. Approx. Theory 171, 84--104 (2013; Zbl 1281.42026) Full Text: DOI arXiv
Delgado, Antonia M.; Pérez, Teresa E.; Piñar, Miguel A. Sobolev-type orthogonal polynomials on the unit ball. (English) Zbl 1285.42021 J. Approx. Theory 170, 94-106 (2013). Reviewer: Alexei Lukashov (Istanbul) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{A. M. Delgado} et al., J. Approx. Theory 170, 94--106 (2013; Zbl 1285.42021) Full Text: DOI
Bracciali, Cleonice F.; Pérez, Teresa E.; Piñar, Miguel A. Stieltjes functions and discrete classical orthogonal polynomials. (English) Zbl 1279.42026 Comput. Appl. Math. 32, No. 3, 537-547 (2013). Reviewer: Francisco Marcellán (Leganes) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{C. F. Bracciali} et al., Comput. Appl. Math. 32, No. 3, 537--547 (2013; Zbl 1279.42026) Full Text: DOI
Delgado, Antonia M.; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. On the Uvarov modification of two variable orthogonal polynomials on the disk. (English) Zbl 1276.33012 Complex Anal. Oper. Theory 6, No. 3, 665-676 (2012). MSC: 33C45 PDFBibTeX XMLCite \textit{A. M. Delgado} et al., Complex Anal. Oper. Theory 6, No. 3, 665--676 (2012; Zbl 1276.33012) Full Text: DOI
Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. On Koornwinder classical orthogonal polynomials in two variables. (English) Zbl 1262.42007 J. Comput. Appl. Math. 236, No. 15, 3817-3826 (2012). Reviewer: María-José Cantero (Zaragoza) MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{L. Fernández} et al., J. Comput. Appl. Math. 236, No. 15, 3817--3826 (2012; Zbl 1262.42007) Full Text: DOI
Mello, Mirela V.; Paschoa, Vanessa G.; Pérez, Teresa E.; Piñar, Miguel A. Multivariate Sobolev-type orthogonal polynomials. (English) Zbl 1258.42026 Jaen J. Approx. 3, No. 2, 241-259 (2011). Reviewer: Francisco Marcellán (Leganes) MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{M. V. Mello} et al., Jaen J. Approx. 3, No. 2, 241--259 (2011; Zbl 1258.42026)
Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A. A generating function for nonstandard orthogonal polynomials involving differences: the Meixner case. (English) Zbl 1216.33022 Ramanujan J. 25, No. 1, 21-35 (2011). MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{J. J. Moreno-Balcázar} et al., Ramanujan J. 25, No. 1, 21--35 (2011; Zbl 1216.33022) Full Text: DOI arXiv
Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. Orthogonal polynomials in two variables as solutions of higher order partial differential equations. (English) Zbl 1214.33005 J. Approx. Theory 163, No. 1, 84-97 (2011). Reviewer: Alexei Lukashov (Istanbul) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{L. Fernández} et al., J. Approx. Theory 163, No. 1, 84--97 (2011; Zbl 1214.33005) Full Text: DOI
De Andrade, Eliana X. L.; Bracciali, Cleonice F.; De Mello, Mirela V.; Pérez, Teresa E. Zeros of Jacobi-Sobolev orthogonal polynomials following non-coherent pair of measures. (English) Zbl 1217.33017 Comput. Appl. Math. 29, No. 3, 423-445 (2010). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C45 33C47 26C10 42C05 PDFBibTeX XMLCite \textit{E. X. L. De Andrade} et al., Comput. Appl. Math. 29, No. 3, 423--445 (2010; Zbl 1217.33017) Full Text: DOI
Bracciali, Cleonice F.; Delgado, Antonia M.; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. New steps on Sobolev orthogonality in two variables. (English) Zbl 1200.42011 J. Comput. Appl. Math. 235, No. 4, 916-926 (2010). MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{C. F. Bracciali} et al., J. Comput. Appl. Math. 235, No. 4, 916--926 (2010; Zbl 1200.42011) Full Text: DOI
Delgado, Antonia M.; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan Orthogonal polynomials in several variables for measures with mass points. (English) Zbl 1205.33020 Numer. Algorithms 55, No. 2-3, 245-264 (2010). Reviewer: Nele De Schepper (Gent) MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{A. M. Delgado} et al., Numer. Algorithms 55, No. 2--3, 245--264 (2010; Zbl 1205.33020) Full Text: DOI arXiv
Fernández, Lidia; Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. Recent trends on two variable orthogonal polynomials. (English) Zbl 1193.42098 Acosta-Humánez, Primitivo B. (ed.) et al., Differential algebra, complex analysis and orthogonal polynomials. Jairo Charris Seminar 2007–2008, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4886-9/pbk). Contemporary Mathematics 509, 59-86 (2010). MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{L. Fernández} et al., Contemp. Math. 509, 59--86 (2010; Zbl 1193.42098)
Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan Krall-type orthogonal polynomials in several variables. (English) Zbl 1183.33020 J. Comput. Appl. Math. 233, No. 6, 1519-1524 (2010). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{L. Fernández} et al., J. Comput. Appl. Math. 233, No. 6, 1519--1524 (2010; Zbl 1183.33020) Full Text: DOI arXiv
Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. Bivariate orthogonal polynomials in the Lyskova class. (English) Zbl 1180.33014 J. Comput. Appl. Math. 233, No. 3, 597-601 (2009). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{M. Álvarez de Morales} et al., J. Comput. Appl. Math. 233, No. 3, 597--601 (2009; Zbl 1180.33014) Full Text: DOI
Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. A matrix Rodrigues formula for classical orthogonal polynomials in two variables. (English) Zbl 1167.33005 J. Approx. Theory 157, No. 1, 32-52 (2009). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C50 33D45 33C45 42C05 PDFBibTeX XMLCite \textit{M. Álvarez de Morales} et al., J. Approx. Theory 157, No. 1, 32--52 (2009; Zbl 1167.33005) Full Text: DOI arXiv
Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. A Stieltjes function in two variables. (English) Zbl 1157.33004 Neamtu, Marian (ed.) et al., Approximation theory XII. Proceedings of the 12th international conference, San Antonio, TX, USA, March 4–8, 2007. Brentwood, TN: Nashboro Press (ISBN 978-0-9728482-9-9/hbk). Modern Methods in Mathematics, 1-13 (2008). Reviewer: Victor Milman (Minsk) MSC: 33C50 33C45 42C05 PDFBibTeX XMLCite \textit{M. Álvarez de Morales} et al., in: Approximation theory XII. Proceedings of the 12th international conference, San Antonio, TX, USA, March 4--8, 2007. Brentwood, TN: Nashboro Press. 1--13 (2008; Zbl 1157.33004)
Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. A semiclassical perspective on multivariate orthogonal polynomials. (English) Zbl 1217.42051 J. Comput. Appl. Math. 214, No. 2, 447-456 (2008). MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{M. Álvarez de Morales} et al., J. Comput. Appl. Math. 214, No. 2, 447--456 (2008; Zbl 1217.42051) Full Text: DOI arXiv
Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. On differential properties for bivariate orthogonal polynomials. (English) Zbl 1129.42009 Numer. Algorithms 45, No. 1-4, 153-166 (2007). Reviewer: Roelof Koekoek (Delft) MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{M. Álvarez de Morales} et al., Numer. Algorithms 45, No. 1--4, 153--166 (2007; Zbl 1129.42009) Full Text: DOI
Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. Semiclassical orthogonal polynomials in two variables. (English) Zbl 1132.33007 J. Comput. Appl. Math. 207, No. 2, 323-330 (2007). Reviewer: Alexander Ulanovskii (Stavanger) MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{M. Álvarez de Morales} et al., J. Comput. Appl. Math. 207, No. 2, 323--330 (2007; Zbl 1132.33007) Full Text: DOI
Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. Second order partial differential equations for gradients of orthogonal polynomials in two variables. (English) Zbl 1104.33006 J. Comput. Appl. Math. 199, No. 1, 113-121 (2007). Reviewer: Leonid Golinskii (Kharkov) MSC: 33C45 PDFBibTeX XMLCite \textit{L. Fernández} et al., J. Comput. Appl. Math. 199, No. 1, 113--121 (2007; Zbl 1104.33006) Full Text: DOI
Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. On multivariate classical orthogonal polynomials. (English) Zbl 1216.42003 Proceedings of the fifth international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, June 16–23, 2004. Palermo: Circolo Matemàtico di Palermo. Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 76, 315-329 (2005). MSC: 42C05 33C50 33C47 PDFBibTeX XMLCite \textit{L. Fernández} et al., Suppl. Rend. Circ. Mat. Palermo (2) 76, 315--329 (2005; Zbl 1216.42003)
Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. Classical orthogonal polynomials in two variables: a matrix approach. (English) Zbl 1069.42015 Numer. Algorithms 39, No. 1-3, 131-142 (2005). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{L. Fernández} et al., Numer. Algorithms 39, No. 1--3, 131--142 (2005; Zbl 1069.42015) Full Text: DOI
Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. Weak classical orthogonal polynomials in two variables. (English) Zbl 1068.33019 J. Comput. Appl. Math. 178, No. 1-2, 191-203 (2005). Reviewer: P. K. Mital (Ajmer) MSC: 33C50 33C90 33C80 33C47 PDFBibTeX XMLCite \textit{L. Fernández} et al., J. Comput. Appl. Math. 178, No. 1--2, 191--203 (2005; Zbl 1068.33019) Full Text: DOI
Álvarez de Morales, María; Pérez, Teresa E.; Pinar, Miguel A. Orthogonal polynomials associated with a \(\Delta\)-Sobolev inner product. (English) Zbl 0997.39007 J. Difference Equ. Appl. 8, No. 2, 125-151 (2002). MSC: 39A12 33C45 42C05 46C50 PDFBibTeX XMLCite \textit{M. Álvarez de Morales} et al., J. Difference Equ. Appl. 8, No. 2, 125--151 (2002; Zbl 0997.39007) Full Text: DOI
Alfaro, Manuel; Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A.; Rezola, M. Luisa Asymptotics of Sobolev orthogonal polynomials for Hermite coherent pairs. (English) Zbl 0990.42011 J. Comput. Appl. Math. 133, No. 1-2, 141-150 (2001). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Comput. Appl. Math. 133, No. 1--2, 141--150 (2001; Zbl 0990.42011) Full Text: DOI
Álvarez de Morales, María; Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A. Nondiagonal Hermite-Sobolev orthogonal polynomials. (English) Zbl 0983.42018 Acta Appl. Math. 61, No. 1-3, 257-266 (2000). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{M. Álvarez de Morales} et al., Acta Appl. Math. 61, No. 1--3, 257--266 (2000; Zbl 0983.42018) Full Text: DOI
García-Caballero, Esther M.; Pérez, Teresa E.; Piñar, Miguel A. Hermite interpolation and Sobolev orthogonality. (English) Zbl 0976.42011 Acta Appl. Math. 61, No. 1-3, 87-99 (2000). Reviewer: Mithat Idemen (İstanbul) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{E. M. García-Caballero} et al., Acta Appl. Math. 61, No. 1--3, 87--99 (2000; Zbl 0976.42011) Full Text: DOI
Alfaro, Manuel; Rezola, M. Luisa; Pérez, Teresa E.; Piñar, Miguel A. On symmetric differential operators associated with Sobolev orthogonal polynomials: A characterization. (English) Zbl 0980.42018 Acta Appl. Math. 61, No. 1-3, 3-14 (2000). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{M. Alfaro} et al., Acta Appl. Math. 61, No. 1--3, 3--14 (2000; Zbl 0980.42018) Full Text: DOI
Meijer, Henk G.; Pérez, Teresa E.; Piñar, Miguel A. Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Laguerre type. (English) Zbl 0965.42017 J. Math. Anal. Appl. 245, No. 2, 528-546 (2000). Reviewer: Walter Van Assche (Leuven) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{H. G. Meijer} et al., J. Math. Anal. Appl. 245, No. 2, 528--546 (2000; Zbl 0965.42017) Full Text: DOI Link
Alfaro, M.; Pérez, T. E.; Piñar, M. A.; Rezola, M. L. Sobolev orthogonal polynomials: The discrete-continuous case. (English) Zbl 0980.42017 Methods Appl. Anal. 6, No. 4, 593-616 (1999). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{M. Alfaro} et al., Methods Appl. Anal. 6, No. 4, 593--616 (1999; Zbl 0980.42017) Full Text: DOI
García-Caballero, Esther M.; Pérez, Teresa E.; Piñar, Miguel A. Sobolev orthogonal polynomials: Interpolation and approximation. (English) Zbl 0956.42013 ETNA, Electron. Trans. Numer. Anal. 9, 56-64 (1999). Reviewer: Mithat Idemen (İstanbul) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{E. M. García-Caballero} et al., ETNA, Electron. Trans. Numer. Anal. 9, 56--64 (1999; Zbl 0956.42013) Full Text: EuDML EMIS
Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André Non-standard orthogonality for Meixner polynomials. (English) Zbl 0949.33004 ETNA, Electron. Trans. Numer. Anal. 9, 1-25 (1999). Reviewer: W.Van Assche (Heverlee) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. Álvarez de Morales} et al., ETNA, Electron. Trans. Numer. Anal. 9, 1--25 (1999; Zbl 0949.33004) Full Text: EuDML EMIS
Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A. Sobolev orthogonality for the Gegenbauer polynomials \(\{ C_n^{-N+1/2}\}_{n\geq 0}\). (English) Zbl 0931.33008 J. Comput. Appl. Math. 100, No. 1, 111-120 (1998). Reviewer: N.Hayek (La Laguna) MSC: 33C45 PDFBibTeX XMLCite \textit{M. Álvarez de Morales} et al., J. Comput. Appl. Math. 100, No. 1, 111--120 (1998; Zbl 0931.33008) Full Text: DOI
Pérez, Teresa E.; Piñar, Miguel A. Sobolev orthogonality and properties of the generalized Laguerre polynomials. (English) Zbl 0930.33006 Jones, William B. (ed.) et al., Orthogonal functions, moment theory, and continued fractions: theory and applications. Proceedings of a research conference/workshop, Campinas, São Paulo, Brazil, June 19–28, 1996. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 199, 375-385 (1998). Reviewer: M.Idemen (İstanbul) MSC: 33C45 33-06 PDFBibTeX XMLCite \textit{T. E. Pérez} and \textit{M. A. Piñar}, Lect. Notes Pure Appl. Math. 199, 375--385 (1998; Zbl 0930.33006)
Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André Orthogonal polynomials associated with a nondiagonal Sobolev inner product with polynomial coefficients. (English) Zbl 0930.33005 Jones, William B. (ed.) et al., Orthogonal functions, moment theory, and continued fractions: theory and applications. Proceedings of a research conference/workshop, Campinas, São Paulo, Brazil, June 19–28, 1996. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 199, 343-358 (1998). Reviewer: M.Idemen (İstanbul) MSC: 33C45 33-06 PDFBibTeX XMLCite \textit{M. Álvarez de Morales} et al., Lect. Notes Pure Appl. Math. 199, 343--358 (1998; Zbl 0930.33005)
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A. Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures. (English) Zbl 0898.42006 J. Approximation Theory 92, No. 2, 280-293 (1998). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., J. Approx. Theory 92, No. 2, 280--293 (1998; Zbl 0898.42006) Full Text: DOI
Marcellán, Francisco; Meijer, Henk G.; Pérez, Teresa E.; Piñar, Miguel A. An asymptotic result for Laguerre-Sobolev orthogonal polynomials. (English) Zbl 0886.33008 J. Comput. Appl. Math. 87, No. 1, 87-94 (1997). Reviewer: Roelof Koekoek (Delft) MSC: 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Comput. Appl. Math. 87, No. 1, 87--94 (1997; Zbl 0886.33008) Full Text: DOI
Pérez, Teresa E.; Piñar, Miguel A. On Sobolev orthogonality for the generalized Laguerre polynomials. (English) Zbl 0864.33009 J. Approximation Theory 86, No. 3, 278-285 (1996). Reviewer: M.Idemen (İstanbul) MSC: 33C45 PDFBibTeX XMLCite \textit{T. E. Pérez} and \textit{M. A. Piñar}, J. Approx. Theory 86, No. 3, 278--285 (1996; Zbl 0864.33009) Full Text: DOI Link
Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. Laguerre-Sobolev orthogonal polynomials. (English) Zbl 0855.33015 J. Comput. Appl. Math. 71, No. 2, 245-265 (1996). Reviewer: M.Idemen (İstanbul) MSC: 33E30 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Comput. Appl. Math. 71, No. 2, 245--265 (1996; Zbl 0855.33015) Full Text: DOI
Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. General Sobolev orthogonal polynomials. (English) Zbl 0860.33007 J. Math. Anal. Appl. 200, No. 3, 614-634 (1996). Reviewer: H.-J.Glaeske (Jena) MSC: 33C45 46E35 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Math. Anal. Appl. 200, No. 3, 614--634 (1996; Zbl 0860.33007) Full Text: DOI Link
Marcellán, Francisco; Petronilho, José C.; Pérez, Teresa E.; Piñar, Miguel A. What is beyond coherent pairs of orthogonal polynomials? (English) Zbl 0855.42016 J. Comput. Appl. Math. 65, No. 1-3, 267-277 (1995). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Comput. Appl. Math. 65, No. 1--3, 267--277 (1995; Zbl 0855.42016) Full Text: DOI
Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. Regular Sobolev type orthogonal polynomials: The Bessel case. (English) Zbl 0858.42016 Rocky Mt. J. Math. 25, No. 4, 1431-1457 (1995). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Rocky Mt. J. Math. 25, No. 4, 1431--1457 (1995; Zbl 0858.42016) Full Text: DOI
Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. Orthogonal polynomials on weighted Sobolev spaces: The semiclassical case. (English) Zbl 0835.33005 Ann. Numer. Math. 2, No. 1-4, 93-122 (1995). Reviewer: G.López Lagomasino (Leganes) MSC: 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Ann. Numer. Math. 2, No. 1--4, 93--122 (1995; Zbl 0835.33005)
Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. Gegenbauer-Sobolev orthogonal polynomials. (English) Zbl 0815.33008 Cuyt, Annie (ed.), Nonlinear numerical methods and rational approximation II. Proceedings of the 3rd International Conference, held at the University of Antwerp, Belgium, 5-11 September 1993. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 296, 71-82 (1994). Reviewer: W.Van Assche (Heverlee) MSC: 33C65 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Math. Appl., Dordr. 296, 71--82 (1994; Zbl 0815.33008)
Pérez, Teresa E.; Piñar, Miguel A. Global properties of zeros for Sobolev-type orthogonal polynomials. (English) Zbl 0792.42012 J. Comput. Appl. Math. 49, No. 1-3, 225-232 (1993). MSC: 42C05 PDFBibTeX XMLCite \textit{T. E. Pérez} and \textit{M. A. Piñar}, J. Comput. Appl. Math. 49, No. 1--3, 225--232 (1993; Zbl 0792.42012) Full Text: DOI
Marcellán, F.; Pérez, T. E.; Piñar, M. A. On zeros of Sobolev-type orthogonal polynomials. (English) Zbl 0768.33008 Rend. Mat. Appl., VII. Ser. 12, No. 2, 455-473 (1992). Reviewer: W.Van Assche (Heverlee) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Rend. Mat. Appl., VII. Ser. 12, No. 2, 455--473 (1992; Zbl 0768.33008)
Piñar, Miguel A.; Pérez, Teresa E. On higher order Padé-type approximants with some prescribed coefficients in the numerator. (English) Zbl 0780.41013 Numer. Algorithms 3, No. 1-4, 345-352 (1992). MSC: 41A21 PDFBibTeX XMLCite \textit{M. A. Piñar} and \textit{T. E. Pérez}, Numer. Algorithms 3, No. 1--4, 345--352 (1992; Zbl 0780.41013) Full Text: DOI