Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J. Sobolev orthogonal polynomials: asymptotics and symbolic computation. (English) Zbl 1510.42036 East Asian J. Appl. Math. 12, No. 3, 535-563 (2022). MSC: 42C05 33F10 33C47 33C45 65D20 PDFBibTeX XMLCite \textit{J. F. Mañas-Mañas} and \textit{J. J. Moreno-Balcázar}, East Asian J. Appl. Math. 12, No. 3, 535--563 (2022; Zbl 1510.42036) Full Text: DOI
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
Costas-Santos, R. S.; Moreno-Balcázar, J. J. The semiclassical Sobolev orthogonal polynomials: a general approach. (English) Zbl 1215.33005 J. Approx. Theory 163, No. 1, 65-83 (2011). Reviewer: Alexei Lukashov (Istanbul) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{R. S. Costas-Santos} and \textit{J. J. Moreno-Balcázar}, J. Approx. Theory 163, No. 1, 65--83 (2011; Zbl 1215.33005) Full Text: DOI arXiv
Bracciali, Cleonice F.; Castaño-García, Laura; Moreno-Balcázar, Juan J. Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights. (English) Zbl 1205.33018 J. Comput. Appl. Math. 235, No. 4, 904-915 (2010). MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{C. F. Bracciali} et al., J. Comput. Appl. Math. 235, No. 4, 904--915 (2010; Zbl 1205.33018) Full Text: DOI
Marcellán, Francisco; Moreno Balcázar, Juan José Asymptotics and zeros of Sobolev orthogonal polynomials on unbounded supports. (English) Zbl 1137.42312 Acta Appl. Math. 94, No. 2, 163-192 (2006). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{J. J. Moreno Balcázar}, Acta Appl. Math. 94, No. 2, 163--192 (2006; Zbl 1137.42312) Full Text: DOI arXiv Link
Moreno-Balcázar, Juan José Smallest zeros of some types of orthogonal polynomials: asymptotics. (English) Zbl 1068.42023 J. Comput. Appl. Math. 179, No. 1-2, 289-301 (2005). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{J. J. Moreno-Balcázar}, J. Comput. Appl. Math. 179, No. 1--2, 289--301 (2005; Zbl 1068.42023) Full Text: DOI
Area, I.; Godoy, E.; Marcellán, F.; Moreno-Balcázar, J. J. \(\Delta\)-Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation. (English) Zbl 1060.42015 J. Comput. Appl. Math. 178, No. 1-2, 21-36 (2005). MSC: 42C05 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 178, No. 1--2, 21--36 (2005; Zbl 1060.42015) Full Text: DOI
Cachafeiro, Alicia; Marcellán, Francisco; Moreno-Balcázar, Juan J. On asymptotic properties of Freud–Sobolev orthogonal polynomials. (English) Zbl 1043.33005 J. Approximation Theory 125, No. 1, 26-41 (2003). Reviewer: N. M. Temme (Amsterdam) MSC: 33C45 33C47 42C05 PDFBibTeX XMLCite \textit{A. Cachafeiro} et al., J. Approx. Theory 125, No. 1, 26--41 (2003; Zbl 1043.33005) Full Text: DOI
Alfaro, Manuel; Moreno-Balcázar, Juan J.; Rezola, M. Luisa Laguerre-Sobolev orthogonal polynomials: Asymptotics for coherent pairs of type II. (English) Zbl 1031.42024 J. Approximation Theory 122, No. 1, 79-96 (2003). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Approx. Theory 122, No. 1, 79--96 (2003; Zbl 1031.42024) Full Text: DOI
Castaño-García, Laura; Moreno-Balcázar, Juan J. A Mehler–Heine-type formula for Hermite–Sobolev orthogonal polynomials. (English) Zbl 1012.42020 J. Comput. Appl. Math. 150, No. 1, 25-35 (2003). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{L. Castaño-García} and \textit{J. J. Moreno-Balcázar}, J. Comput. Appl. Math. 150, No. 1, 25--35 (2003; Zbl 1012.42020) Full Text: DOI
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; Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support. (English) Zbl 0885.42013 J. Comput. Appl. Math. 81, No. 2, 217-227 (1997). Reviewer: Roelof Koekoek (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Comput. Appl. Math. 81, No. 2, 217--227 (1997; Zbl 0885.42013) Full Text: DOI
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pijeira-Cabrera, Héctor Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials. (English) Zbl 0895.33003 J. Comput. Appl. Math. 81, No. 2, 211-216 (1997). Reviewer: Roelof Koekoek (Delft) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., J. Comput. Appl. Math. 81, No. 2, 211--216 (1997; Zbl 0895.33003) Full Text: DOI