Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J. Asymptotics for some \(q\)-hypergeometric polynomials. (English) Zbl 1516.33012 Result. Math. 77, No. 4, Paper No. 146, 26 p. (2022). MSC: 33D15 30C15 PDFBibTeX XMLCite \textit{J. F. Mañas-Mañas} and \textit{J. J. Moreno-Balcázar}, Result. Math. 77, No. 4, Paper No. 146, 26 p. (2022; Zbl 1516.33012) Full Text: DOI
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
Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J. Classical Sobolev orthogonal polynomials: eigenvalue problem. (English) Zbl 1423.33016 Result. Math. 74, No. 4, Paper No. 144, 12 p. (2019). MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{J. F. Mañas-Mañas} and \textit{J. J. Moreno-Balcázar}, Result. Math. 74, No. 4, Paper No. 144, 12 p. (2019; Zbl 1423.33016) Full Text: DOI arXiv
Littlejohn, Lance L.; Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J.; Wellman, Richard Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics. (English) Zbl 1404.33011 J. Approx. Theory 230, 32-49 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{L. L. Littlejohn} et al., J. Approx. Theory 230, 32--49 (2018; Zbl 1404.33011) Full Text: DOI arXiv
Mañas-Mañas, Juan F.; Marcellán, Francisco; Moreno-Balcázar, Juan J. Asymptotics for varying discrete Sobolev orthogonal polynomials. (English) Zbl 1426.33034 Appl. Math. Comput. 314, 65-79 (2017). MSC: 33C47 42C05 33C45 PDFBibTeX XMLCite \textit{J. F. Mañas-Mañas} et al., Appl. Math. Comput. 314, 65--79 (2017; Zbl 1426.33034) Full Text: DOI
Mañas-Mañas, Juan F.; Marcellán, Francisco; Moreno-Balcázar, Juan J. Asymptotic behavior of varying discrete Jacobi-Sobolev orthogonal polynomials. (English) Zbl 1334.33029 J. Comput. Appl. Math. 300, 341-353 (2016). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{J. F. Mañas-Mañas} et al., J. Comput. Appl. Math. 300, 341--353 (2016; Zbl 1334.33029) Full Text: DOI arXiv
Bracciali, Cleonice F.; Moreno-Balcázar, Juan José On the zeros of a class of generalized hypergeometric polynomials. (English) Zbl 1338.33017 Appl. Math. Comput. 253, 151-158 (2015). MSC: 33C20 PDFBibTeX XMLCite \textit{C. F. Bracciali} and \textit{J. J. Moreno-Balcázar}, Appl. Math. Comput. 253, 151--158 (2015; Zbl 1338.33017) Full Text: DOI
Alfaro, M.; Moreno-Balcázar, J. J.; Peña, A.; Rezola, M. L. Asymptotic formulae for generalized Freud polynomials. (English) Zbl 1295.30014 J. Math. Anal. Appl. 421, No. 1, 474-488 (2015). MSC: 30C10 30E15 33C45 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Math. Anal. Appl. 421, No. 1, 474--488 (2015; Zbl 1295.30014) Full Text: DOI
Mañas-Mañas, Juan F.; Marcellán, Francisco; Moreno-Balcázar, Juan J. Varying discrete Laguerre-Sobolev orthogonal polynomials: asymptotic behavior and zeros. (English) Zbl 1329.33012 Appl. Math. Comput. 222, 612-618 (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{J. F. Mañas-Mañas} et al., Appl. Math. Comput. 222, 612--618 (2013; Zbl 1329.33012) Full Text: DOI
Fejzullahu, B. Xh.; Marcellán, F.; Moreno-Balcázar, J. J. Jacobi-Sobolev orthogonal polynomials: asymptotics and a Cohen type inequality. (English) Zbl 1283.33006 J. Approx. Theory 170, 78-93 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{B. Xh. Fejzullahu} et al., J. Approx. Theory 170, 78--93 (2013; Zbl 1283.33006) Full Text: DOI
de Andrade, Eliana X. L.; Bracciali, Cleonice F.; Castaño-García, Laura; Moreno-Balcázar, Juan J. Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures. (English) Zbl 1209.42017 J. Approx. Theory 162, No. 11, 1945-1963 (2010). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{E. X. L. de Andrade} et al., J. Approx. Theory 162, No. 11, 1945--1963 (2010; Zbl 1209.42017) Full Text: DOI
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
Alfaro, Manuel; Peña, Ana; Rezola, M. Luisa; Moreno-Balcázar, Juan José Asymptotics for a generalization of Hermite polynomials. (English) Zbl 1190.33010 Asymptotic Anal. 66, No. 2, 103-117 (2010). MSC: 33C45 PDFBibTeX XMLCite \textit{M. Alfaro} et al., Asymptotic Anal. 66, No. 2, 103--117 (2010; Zbl 1190.33010) Full Text: DOI arXiv
Alfaro, Manuel; Moreno-Balcázar, Juan José; Peña, Ana; Rezola, M. Luisa Sobolev orthogonal polynomials: Balance and asymptotics. (English) Zbl 1158.33005 Trans. Am. Math. Soc. 361, No. 1, 547-560 (2009). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33D45 33D80 PDFBibTeX XMLCite \textit{M. Alfaro} et al., Trans. Am. Math. Soc. 361, No. 1, 547--560 (2009; Zbl 1158.33005) Full Text: DOI arXiv
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
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
Marcellán, Francisco; Moreno-Balcázar, Juan J. Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials. (English) Zbl 0983.42013 J. Approximation Theory 110, No. 1, 54-73 (2001). MSC: 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{J. J. Moreno-Balcázar}, J. Approx. Theory 110, No. 1, 54--73 (2001; Zbl 0983.42013) 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
Area, I.; Godoy, E.; Marcellán, F.; Moreno-Balcázar, J. J. Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials. (English) Zbl 0984.42016 J. Comput. Appl. Math. 116, No. 1, 63-75 (2000). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., J. Comput. Appl. Math. 116, No. 1, 63--75 (2000; Zbl 0984.42016) Full Text: DOI
Moreno-Balcázar, Juan J.; Martínez-Finkelshtein, Andrei Analytic properties of nondiagonal Jacobi-Sobolev orthogonal polynomials. (English) Zbl 0943.42014 J. Comput. Appl. Math. 105, No. 1-2, 393-401 (1999). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{J. J. Moreno-Balcázar} and \textit{A. Martínez-Finkelshtein}, J. Comput. Appl. Math. 105, No. 1--2, 393--401 (1999; Zbl 0943.42014) 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