Fernández, Lidia; de la Iglesia, Manuel D. Quasi-birth-and-death processes and multivariate orthogonal polynomials. (English) Zbl 1465.60077 J. Math. Anal. Appl. 499, No. 1, Article ID 125029, 33 p. (2021). MSC: 60J80 42C05 PDFBibTeX XMLCite \textit{L. Fernández} and \textit{M. D. de la Iglesia}, J. Math. Anal. Appl. 499, No. 1, Article ID 125029, 33 p. (2021; Zbl 1465.60077) Full Text: DOI arXiv
Delgado, Antonia M.; Fernández, Lidia; Iliev, Plamen Darboux transformations from the Appell-Lauricella operator. (English) Zbl 1475.42041 J. Math. Anal. Appl. 482, No. 2, Article ID 123546, 21 p. (2020). MSC: 42C05 33C65 33C80 34L05 35A30 PDFBibTeX XMLCite \textit{A. M. Delgado} et al., J. Math. Anal. Appl. 482, No. 2, Article ID 123546, 21 p. (2020; Zbl 1475.42041) Full Text: DOI arXiv
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
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
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
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; 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. 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
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. 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