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
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
Alfaro, M.; Peña, A.; Petronilho, J.; Rezola, M. L. Orthogonal polynomials generated by a linear structure relation: inverse problem. (English) Zbl 1264.33011 J. Math. Anal. Appl. 401, No. 1, 182-197 (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Math. Anal. Appl. 401, No. 1, 182--197 (2013; Zbl 1264.33011) Full Text: DOI arXiv
Alfaro, Manuel; Peña, Ana; Rezola, M. Luisa; Marcellán, Francisco Orthogonal polynomials associated with an inverse quadratic spectral transform. (English) Zbl 1217.42050 Comput. Math. Appl. 61, No. 4, 888-900 (2011). MSC: 42C05 33C45 47B36 PDFBibTeX XMLCite \textit{M. Alfaro} et al., Comput. Math. Appl. 61, No. 4, 888--900 (2011; Zbl 1217.42050) Full Text: DOI arXiv
Alfaro, M.; Moreno-Balcázar, J. J.; Peña, A.; Rezola, M. L. A new approach to the asymptotics of Sobolev type orthogonal polynomials. (English) Zbl 1219.33006 J. Approx. Theory 163, No. 4, 460-480 (2011). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 42C05 33C10 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Approx. Theory 163, No. 4, 460--480 (2011; Zbl 1219.33006) 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; Marcellán, Francisco; Peña, Ana; Rezola, M. Luisa When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials? (English) Zbl 1187.33004 J. Comput. Appl. Math. 233, No. 6, 1446-1452 (2010). Reviewer: Leonid Golinskii (Kharkov) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Comput. Appl. Math. 233, No. 6, 1446--1452 (2010; Zbl 1187.33004) Full Text: DOI arXiv
Alfaro, M.; Moreno-Balcazar, J. J.; Pena, A.; Rezola, M. L. A new approach to the asymptotics for Sobolev orthogonal polynomials. arXiv:1003.3336 Preprint, arXiv:1003.3336 [math.CA] (2010). MSC: 42C05 33C45 BibTeX Cite \textit{M. Alfaro} et al., ``A new approach to the asymptotics for Sobolev orthogonal polynomials'', Preprint, arXiv:1003.3336 [math.CA] (2010) Full Text: arXiv OA License
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
Alfaro, M.; Álvarez-Nodarse, R. A characterization of the classical orthogonal discrete and \(q\)-polynomials. (English) Zbl 1108.33007 J. Comput. Appl. Math. 201, No. 1, 48-54 (2007). Reviewer: Youssef Ben Cheikh (Monastir) MSC: 33C45 33D45 PDFBibTeX XMLCite \textit{M. Alfaro} and \textit{R. Álvarez-Nodarse}, J. Comput. Appl. Math. 201, No. 1, 48--54 (2007; Zbl 1108.33007) Full Text: DOI
Alfaro, Manuel; Marcellán, Francisco; Peña, Ana; Rezola, M. Luisa On rational transformations of linear functionals: direct problem. (English) Zbl 1066.33008 J. Math. Anal. Appl. 298, No. 1, 171-183 (2004). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Math. Anal. Appl. 298, No. 1, 171--183 (2004; Zbl 1066.33008) Full Text: DOI
Alfaro, Manuel; Marcellán, Francisco; Peña, Ana; Rezola, M. Luisa On linearly related orthogonal polynomials and their functionals. (English) Zbl 1029.42014 J. Math. Anal. Appl. 287, No. 1, 307-319 (2003). MSC: 42C05 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Math. Anal. Appl. 287, No. 1, 307--319 (2003; Zbl 1029.42014) 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
Alfaro, Manuel; Cantero, María José; Marcellán, Francisco A cubic decomposition of sequences of orthogonal polynomials on the unit circle. (English) Zbl 1026.42026 Complex Variables, Theory Appl. 47, No. 9, 745-759 (2002). MSC: 42C05 PDFBibTeX XMLCite \textit{M. Alfaro} et al., Complex Variables, Theory Appl. 47, No. 9, 745--759 (2002; Zbl 1026.42026) Full Text: DOI Link
Alfaro, Manuel; Álvarez de Morales, María; Rezola, M. Luisa Orthogonality of the Jacobi polynomials with negative integer parameters. (English) Zbl 1002.42016 J. Comput. Appl. Math. 145, No. 2, 379-386 (2002). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Comput. Appl. Math. 145, No. 2, 379--386 (2002; Zbl 1002.42016) Full Text: DOI
Alfaro, Manuel; Rezola, M. Luisa Zeros of Sobolev orthogonal polynomials. (Spanish. English summary) Zbl 1253.42014 Español, Luis (ed.) et al., Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández. Logroño: Universidad de la Rioja, Servicio de Publicaciones (ISBN 84-95301-56-3/hbk). 569-576 (2001). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{M. Alfaro} and \textit{M. L. Rezola}, in: Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández. Logroño: Universidad de la Rioja, Servicio de Publicaciones. 569--576 (2001; Zbl 1253.42014) Full Text: EMIS
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
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
Cantero, María José; Alfaro, Manuel A family of orthogonal polynomials on the unit circle. (Spanish) Zbl 1012.42019 Madaune-Tort, Monique (ed.) et al., Proceedings of the 5th Zaragoza-Pau conference on applied mathematics and statistics, Jaca, Spain, September 15-16, 1997. Zaragoza: Universidad de Zaragoza. Publ. Semin. Mat. García de Galdeano, Serie II. 20, 207-214 (1999). MSC: 42C05 PDFBibTeX XMLCite \textit{M. J. Cantero} and \textit{M. Alfaro}, in: Actas de las V jornadas Zaragoza-Pau de matemática aplicada y estadísta. Zaragoza: Universidad de Zaragoza. 207--214 (1999; Zbl 1012.42019)
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
Alfaro, M.; Martínez-Finkelshtein, A.; Rezola, M. L. Asymptotic properties of balanced extremal Sobolev polynomials: Coherent case. (English) Zbl 0942.42015 J. Approximation Theory 100, No. 1, 44-59 (1999). Reviewer: R.Koekoek (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Approx. Theory 100, No. 1, 44--59 (1999; Zbl 0942.42015) Full Text: DOI
Alfaro, Manuel; Cantero, María José; Moral, Leandro Semiorthogonal functions and orthogonal polynomials on the unit circle. (English) Zbl 0944.42017 J. Comput. Appl. Math. 99, No. 1-2, 3-14 (1998). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 42C05 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Comput. Appl. Math. 99, No. 1--2, 3--14 (1998; Zbl 0944.42017) Full Text: DOI
Alfaro, M. (ed.); Álvarez-Nodarse, R. (ed.); López Lagomasino, G. (ed.); Marcellán, F. (ed.) International workshop on orthogonal polynomials in mathematical physics. Papers from the workshop, IWOP ’96, in honour of Professor André Ronveaux, Leganés, Spain, June 24–26, 1996. (English) Zbl 0914.00062 Leganés: Universidad Carlos III de Madrid, Servicio de Publicaciones. iv, 167 p. (1997). MSC: 00B25 33-06 81-06 PDFBibTeX XMLCite \textit{M. Alfaro} (ed.) et al., International workshop on orthogonal polynomials in mathematical physics. Papers from the workshop, IWOP '96, in honour of Professor André Ronveaux, Leganés, Spain, June 24--26, 1996. Leganés: Universidad Carlos III de Madrid, Servicio de Publicaciones (1997; Zbl 0914.00062)
Alfaro, Manuel; Marcellán, Francisco Carathéodory functions and orthogonal polynomials on the unit circle. (English) Zbl 0903.30004 Martínez Finkelshtein, Andrei (ed.) et al., Complex methods in approximation theory. Proceedings of the workshop, University of Almería, Spain, June 5–8, 1995. Almería: Univ. de Almería, Servicio de Publicaciones, Monografías Ciencia y Tecnología. 2, 1-22 (1997). Reviewer: M.G.de Bruin (Delft) MSC: 30C10 42C05 PDFBibTeX XMLCite \textit{M. Alfaro} and \textit{F. Marcellán}, in: Complex methods in approximation theory. Proceedings of the workshop, University of Almería, Spain, June 5--8, 1995. Almería: Univ. de Almería, Servicio de Publicaciones. 1--22 (1997; Zbl 0903.30004)
Alfaro, M.; Marcellán, F.; Rezola, M. L. Estimates for Jacobi-Sobolev type orthogonal polynomials. (English) Zbl 0888.33006 Appl. Anal. 67, No. 1-2, 157-174 (1997). Reviewer: M.Alfaro MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. Alfaro} et al., Appl. Anal. 67, No. 1--2, 157--174 (1997; Zbl 0888.33006) Full Text: DOI
Alfaro, M.; López, G.; Rezola, M. L. Some properties of zeros of Sobolev-type orthogonal polynomials. (English) Zbl 0862.33005 J. Comput. Appl. Math. 69, No. 1, 171-179 (1996). Reviewer: M.Idemen (İstanbul) MSC: 33C45 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Comput. Appl. Math. 69, No. 1, 171--179 (1996; Zbl 0862.33005) Full Text: DOI
Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A. Sobolev-type orthogonal polynomials: The nondiagonal case. (English) Zbl 0841.42013 J. Approximation Theory 83, No. 2, 266-287 (1995). Reviewer: Roelof Koekoek (Delft) MSC: 42C05 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Approx. Theory 83, No. 2, 266--287 (1995; Zbl 0841.42013) Full Text: DOI
Alfaro, Manuel; Moral, Leandro Quasi-orthogonality on the unit circle and semi-classical forms. (English) Zbl 0812.42013 Port. Math. 51, No. 1, 47-62 (1994). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 PDFBibTeX XMLCite \textit{M. Alfaro} and \textit{L. Moral}, Port. Math. 51, No. 1, 47--62 (1994; Zbl 0812.42013) Full Text: EuDML
Alfaro, M.; Marcellán, F.; Meijer, H. G.; Rezola, M. L. Symmetric orthogonal polynomials for Sobolev-type inner products. (English) Zbl 0809.42012 J. Math. Anal. Appl. 184, No. 2, 360-381 (1994). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 33C45 46E39 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Math. Anal. Appl. 184, No. 2, 360--381 (1994; Zbl 0809.42012) Full Text: DOI
Marcellán, F.; Alfaro, M.; Rezola, M. L. Orthogonal polynomials on Sobolev spaces: Old and new directions. (English) Zbl 0790.42015 J. Comput. Appl. Math. 48, No. 1-2, 113-131 (1993). MSC: 42C05 46E35 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Comput. Appl. Math. 48, No. 1--2, 113--131 (1993; Zbl 0790.42015) Full Text: DOI
Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A. On orthogonal polynomials of Sobolev type: Algebraic properties and zeros. (English) Zbl 0764.33003 SIAM J. Math. Anal. 23, No. 3, 737-757 (1992). Reviewer: W.Van Assche (Heverlee) MSC: 33C45 PDFBibTeX XMLCite \textit{M. Alfaro} et al., SIAM J. Math. Anal. 23, No. 3, 737--757 (1992; Zbl 0764.33003) Full Text: DOI
Alfaro, Manuel (ed.) Rational approximation and orthogonal polynomials. Colloquium held at the University of Zaragoza, Spain, in Octobre 1988. (English) Zbl 0682.00010 Zaragoza: Universidad, Semin. Mat. “Garcia de Galdeano”. x, 57 p. (1989). MSC: 00Bxx 30-06 PDFBibTeX XMLCite \textit{M. Alfaro} (ed.), Rational approximation and orthogonal polynomials. Colloquium held at the University of Zaragoza, Spain, in Octobre 1988. Zaragoza: Universidad, Semin. Mat. ''Garcia de Galdeano'' (1989; Zbl 0682.00010)
Alfaro, M. Pilar; Alfaro, Manuel Orthogonal polynomials sequences with prescribed values. (English) Zbl 0684.42015 Orthogonal polynomials and their applications, Proc. Int. Congr., Laredo/Spain 1987, Lect. Notes Pure Appl. Math. 117, 103-107 (1989). Reviewer: D.S.Lubinsky MSC: 42C05 30C15 PDFBibTeX XML
Alfaro, Manuel (ed.); Dehesa, Jesús S. (ed.); Marcellan, Francisco J. (ed.); Rubio de Francia, José L. (ed.); Vinuesa, Jaime (ed.) Orthogonal polynomials and their applications. Proceedings of an international symposium (2nd) held in Segovia, Spain, Sept. 22-27, 1986. (English) Zbl 0638.00018 Lecture Notes in Mathematics, 1329. Berlin etc.: Springer-Verlag. xv, 334 p. DM 50.00 (1988). MSC: 00B25 41-06 42-06 PDFBibTeX XMLCite \textit{M. Alfaro} (ed.) et al., Orthogonal polynomials and their applications. Proceedings of an international symposium (2nd) held in Segovia, Spain, Sept. 22-27, 1986. Berlin etc.: Springer-Verlag (1988; Zbl 0638.00018) Full Text: DOI
Alfaro, M.; Alfaro, Ma. P.; Guadalupe, J. J.; Vigil, L. Correspondance entre suites de polynômes orthogonaux et fonctions de la boule unité de \(H_ 0^{\infty}(D)\). (Correspondence between orthogonal polynomials sequences and the unit ball \(H_ 0^{\infty}(D))\). (French) Zbl 0604.42018 Polynômes orthogonaux et applications, Proc. Laguerre Symp., Bar-le- Duc/France 1984, Lect. Notes Math. 1171, 158-163 (1985). Reviewer: G.Lopez Lagomasino MSC: 42C05 PDFBibTeX XML
Marcellán, F.; Alfaro, M. Recurrente relations for orthogonal polynomials on algebraic curves. (English) Zbl 0599.42012 Port. Math. 42(1983/84), 41-51 (1984). Reviewer: M.Mikolas MSC: 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{M. Alfaro}, Port. Math. 42, No. 1--2, 41--51 (1984; Zbl 0599.42012) Full Text: EuDML
Marcellan, Francisco; Alfaro, Manuel On summation formulas for polynomials orthogonal on a lemniscate. (Spanish) Zbl 0498.42011 Actualites mathematiques, Actes 6e Congr. Group. Math. Expr. Latine, Luxembourg 1981, 403-406 (1982). MSC: 42C05 33C45 PDFBibTeX XML
Alfaro, M. Expansion of \(1/z^h\) in Fourier-Toeplitz series. (Spanish) Zbl 0394.42007 Publ. Sem. Mat., Zaragoza 25, 11-23 (1977). MSC: 42C15 42C05 42A16 33E99 PDFBibTeX XML
Alfaro, M. Development of \(1/z^h\) in Fourier-Toeplitz series. (Spanish) Zbl 0391.42019 Rev. Acad. Ci. Exactas Fís.-Quím. Nat. Zaragoza, II. Ser. 32, 11-23 (1977). MSC: 42C05 42A65 41A10 PDFBibTeX XMLCite \textit{M. Alfaro}, Rev. Acad. Ci. Exactas Fís. Quím. Nat. Zaragoza, II. Ser. 32, 11--23 (1977; Zbl 0391.42019)
Alfaro Garcia, M. Pseudopolynome in der Theorie der Orthogonalpolynome auf dem Einheitskreis. (Spanish) Zbl 0371.42009 Rev. Acad. Ci. Exactas Fís.-Quím. Nat. Zaragoza, II. Ser. 30, 17-24 (1975). MSC: 42C05 33C45 47B35 PDFBibTeX XMLCite \textit{M. Alfaro Garcia}, Rev. Acad. Ci. Exactas Fís. Quím. Nat. Zaragoza, II. Ser. 30, 17--24 (1975; Zbl 0371.42009)
Alfaro Garcia, M. The parametric theory for polynomials orthogonal on the unit circle. (Spanish) Zbl 0314.33010 Publ. Sem. Mat., Zaragoza 19, 79 p. (1974). MSC: 33C45 42C05 15B57 PDFBibTeX XML
Garcia, M. Alfaro Die parametrische Theorie der auf der Einheitskreisperipherie orthogonalen Polynome. (Spanish) Zbl 0292.42014 Rev. Acad. Ci. Exactas Fís.-Quím. Nat. Zaragoza, II. Ser. 29, 5-79 (1974). MSC: 42C05 26C10 PDFBibTeX XMLCite \textit{M. A. Garcia}, Rev. Acad. Ci. Exactas Fís. Quím. Nat. Zaragoza, II. Ser. 29, 5--79 (1974; Zbl 0292.42014)
Alfaro, M. Summationsformal für Orthogonalpolynome auf einem beliebigen Umkreis. (Spanish) Zbl 0288.42012 Rev. Acad. Ci. Exactas Fís.-Quím. Nat. Zaragoza, II. Ser. 29, 197-201 (1974). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{M. Alfaro}, Rev. Acad. Ci. Exactas Fís. Quím. Nat. Zaragoza, II. Ser. 29, 197--201 (1974; Zbl 0288.42012)
Alfaro Garcia, Manuel On orthogonal polynomials. Recurrence formula and typical extension for an arbitrary circumference. (Spanish) Zbl 0391.33006 Proc. 11th ann. Conf. Spanish Math., Murcia 1970, 11-17 (1973). MSC: 33C45 42C05 PDFBibTeX XML
Alfaro Garcia, Manuel Ein Satz in der parametrischen Theorie der Orthogonalpolynome auf dem Einheitskreis. (Spanish) Zbl 0279.42015 Actas prim. Jornadas mat. luso-espan., Lisboa 1972, 125-132 (1973). MSC: 42C05 33C45 PDFBibTeX XML