González Ricardo, L. G.; López Lagomasino, G. Strong asymptotic of Cauchy biorthogonal polynomials and orthogonal polynomials with varying measure. (English) Zbl 1510.42035 Constr. Approx. 56, No. 3, 577-618 (2022). Reviewer: M. Abdessadek Saib (Tebessa) MSC: 42C05 30E10 41A21 PDFBibTeX XMLCite \textit{L. G. González Ricardo} and \textit{G. López Lagomasino}, Constr. Approx. 56, No. 3, 577--618 (2022; Zbl 1510.42035) Full Text: DOI arXiv
González Ricardo, L. G.; López Lagomasino, G.; Peralta, S. Medina On the convergence of multi-level Hermite-Padé approximants. (English) Zbl 1523.41005 Physica D 440, Article ID 133487, 11 p. (2022). MSC: 41A21 41A20 42C05 PDFBibTeX XMLCite \textit{L. G. González Ricardo} et al., Physica D 440, Article ID 133487, 11 p. (2022; Zbl 1523.41005) Full Text: DOI arXiv
Ricardo, L. G. González; Lagomasino, G. López Strong asymptotics of multi-level Hermite-Padé polynomials. arXiv:2207.08308 Preprint, arXiv:2207.08308 [math.CA] (2022). MSC: 42C05 30E10 41A21 47H10 BibTeX Cite \textit{L. G. G. Ricardo} and \textit{G. L. Lagomasino}, ``Strong asymptotics of multi-level Hermite-Pad\'e polynomials'', Preprint, arXiv:2207.08308 [math.CA] (2022) Full Text: arXiv OA License
González Ricardo, L. G.; López Lagomasino, G.; Medina Peralta, S. Logarithmic asymptotic of multi-level Hermite-Padé polynomials. (English) Zbl 1476.30138 Integral Transforms Spec. Funct. 32, No. 5-8, 493-511 (2021). MSC: 30E10 41A21 42C05 PDFBibTeX XMLCite \textit{L. G. González Ricardo} et al., Integral Transforms Spec. Funct. 32, No. 5--8, 493--511 (2021; Zbl 1476.30138) Full Text: DOI arXiv
Díaz González, A.; López Lagomasino, G.; Pijeira Cabrera, H. Asymptotic zero distribution for a class of extremal polynomials. (English) Zbl 1465.42001 Bull. Math. Sci. 11, No. 1, Article ID 1950019, 18 p. (2021). MSC: 42A05 42C05 30C15 26C05 26C10 33C47 PDFBibTeX XMLCite \textit{A. Díaz González} et al., Bull. Math. Sci. 11, No. 1, Article ID 1950019, 18 p. (2021; Zbl 1465.42001) Full Text: DOI
López-Lagomasino, Guillermo An introduction to multiple orthogonal polynomials and Hermite-Padé approximation. (English) Zbl 1460.42041 Marcellán, Francisco (ed.) et al., Orthogonal polynomials: current trends and applications. Proceedings of the 7th EIBPOA conference, Universidad Carlos III de Madrid, Leganés, Spain, July 3–6, 2018. Cham: Springer. SEMA SIMAI Springer Ser. 22, 237-271 (2021). MSC: 42C05 30E10 41A21 PDFBibTeX XMLCite \textit{G. López-Lagomasino}, SEMA SIMAI Springer Ser. 22, 237--271 (2021; Zbl 1460.42041) Full Text: DOI arXiv
González Ricardo, L. G.; Lagomasino, G. López; Peralta, S. Medina On the convergence of multi-level Hermite-Padé approximants for a class of meromorphic functions. (English) Zbl 1450.30057 Mediterr. J. Math. 17, No. 5, Paper No. 149, 19 p. (2020). MSC: 30E10 41A21 42C05 PDFBibTeX XMLCite \textit{L. G. González Ricardo} et al., Mediterr. J. Math. 17, No. 5, Paper No. 149, 19 p. (2020; Zbl 1450.30057) Full Text: DOI arXiv
López-García, Abey; López Lagomasino, Guillermo Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. II. (English) Zbl 1440.42121 J. Approx. Theory 250, Article ID 105320, 28 p. (2020). MSC: 42C05 30E10 47B39 PDFBibTeX XMLCite \textit{A. López-García} and \textit{G. López Lagomasino}, J. Approx. Theory 250, Article ID 105320, 28 p. (2020; Zbl 1440.42121) Full Text: DOI arXiv
López Lagomasino, G.; Medina Peralta, S.; Szmigielski, J. Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation. (English) Zbl 1435.30119 Adv. Math. 349, 813-838 (2019). Reviewer: Arthur Danielyan (Tampa) MSC: 30E10 42C05 41A20 PDFBibTeX XMLCite \textit{G. López Lagomasino} et al., Adv. Math. 349, 813--838 (2019; Zbl 1435.30119) Full Text: DOI arXiv
López Lagomasino, G.; Van Assche, W. Riemann-Hilbert analysis for a Nikishin system. (English. Russian original) Zbl 1398.30024 Sb. Math. 209, No. 7, 1019-1050 (2018); translation from Mat. Sb. 209, No. 7, xx (2018). MSC: 30E10 30E25 41A21 42C05 PDFBibTeX XMLCite \textit{G. López Lagomasino} and \textit{W. Van Assche}, Sb. Math. 209, No. 7, 1019--1050 (2018; Zbl 1398.30024); translation from Mat. Sb. 209, No. 7, xx (2018) Full Text: DOI arXiv MNR
Barrios Rolanía, D.; Geronimo, J. S.; López Lagomasino, G. High-order recurrence relations, Hermite-Padé approximation and Nikishin systems. (English. Russian original) Zbl 1401.30037 Sb. Math. 209, No. 3, 385-420 (2018); translation from Mat. Sb. 209, No. 3, 102-137 (2018). Reviewer: Konstantin Malyutin (Sumy) MSC: 30E10 42C05 41A20 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} et al., Sb. Math. 209, No. 3, 385--420 (2018; Zbl 1401.30037); translation from Mat. Sb. 209, No. 3, 102--137 (2018) Full Text: DOI arXiv
López-García, Abey; López Lagomasino, Guillermo Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. (English) Zbl 1381.42036 J. Approx. Theory 225, 1-40 (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 42C05 30E10 47B39 PDFBibTeX XMLCite \textit{A. López-García} and \textit{G. López Lagomasino}, J. Approx. Theory 225, 1--40 (2018; Zbl 1381.42036) Full Text: DOI arXiv
Aptekarev, A. I.; López Lagomasino, G.; Martínez-Finkelshtein, A. On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials. (English. Russian original) Zbl 1379.42011 Russ. Math. Surv. 72, No. 3, 389-449 (2017); translation from Usp. Mat. Nauk 72, No. 3, 3-64 (2017). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 42C05 31A99 41A21 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Russ. Math. Surv. 72, No. 3, 389--449 (2017; Zbl 1379.42011); translation from Usp. Mat. Nauk 72, No. 3, 3--64 (2017) Full Text: DOI arXiv
Gonzalez, A. Diaz; Lagomasino, G. Lopez; Cabrera, H. Pijeira Sobolev extremal polynomials with respect to mutually singular measures. arXiv:1710.02698 Preprint, arXiv:1710.02698 [math.CA] (2017). MSC: 42A05 30C15 33C47 BibTeX Cite \textit{A. D. Gonzalez} et al., ``Sobolev extremal polynomials with respect to mutually singular measures'', Preprint, arXiv:1710.02698 [math.CA] (2017) Full Text: arXiv OA License
Aptekarev, A. I.; López Lagomasino, G.; Martínez-Finkelshtein, A. Strong asymptotics for the Pollaczek multiple orthogonal polynomials. (English. Russian original) Zbl 1337.33006 Dokl. Math. 92, No. 3, 709-713 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 4, 393-397 (2015). Reviewer: Peter Massopust (München) MSC: 33C47 15B52 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Dokl. Math. 92, No. 3, 709--713 (2015; Zbl 1337.33006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 4, 393--397 (2015) Full Text: DOI
Bosuwan, N.; López Lagomasino, G. Inverse theorem on row sequences of linear Padé-orthogonal approximation. (English) Zbl 1336.30058 Comput. Methods Funct. Theory 15, No. 4, 529-554 (2015). Reviewer: Yuri A. Farkov (Moscow) MSC: 30E10 41A27 41A21 PDFBibTeX XMLCite \textit{N. Bosuwan} and \textit{G. López Lagomasino}, Comput. Methods Funct. Theory 15, No. 4, 529--554 (2015; Zbl 1336.30058) Full Text: DOI arXiv Link
Bultheel, Adhemar (ed.); López-Lagomasino, Guillermo (ed.); Marcellán, Francisco (ed.); Njåstad, Olav (ed.); Orive, Ramón (ed.) Foreword to the proceedings of the OrthoQuad 2014 conference. (English) Zbl 1310.00041 J. Comput. Appl. Math. 284, 1-9 (2015). MSC: 00B25 00B30 PDFBibTeX XMLCite \textit{A. Bultheel} (ed.) et al., J. Comput. Appl. Math. 284, 1--9 (2015; Zbl 1310.00041) Full Text: DOI
López Lagomasino, G.; Medina Peralta, S. On the convergence of type I Hermite-Padé approximants. (English) Zbl 1307.30078 Adv. Math. 273, 124-148 (2015). MSC: 30E10 42C05 41A20 PDFBibTeX XMLCite \textit{G. López Lagomasino} and \textit{S. Medina Peralta}, Adv. Math. 273, 124--148 (2015; Zbl 1307.30078) Full Text: DOI arXiv
Bosuwan, Nattapong; Lagomasino, Guillermo López; Saff, Edward B. Determining singularities using rows of Pade-orthogonal approximants. (English) Zbl 1290.30040 Jaen J. Approx. 5, No. 2, 179-208 (2013). MSC: 30E10 41A27 41A21 PDFBibTeX XMLCite \textit{N. Bosuwan} et al., Jaen J. Approx. 5, No. 2, 179--208 (2013; Zbl 1290.30040)
Delvaux, Steven; López, Abey; Lagomasino López, Guillermo A family of Nikishin systems with periodic recurrence coefficients. (English. Russian original) Zbl 1273.42027 Sb. Math. 204, No. 1, 43-74 (2013); translation from Mat. Sb. 204, No. 1, 47-78 (2013). Reviewer: Pablo Sánchez-Moreno (Granada) MSC: 42C05 41A21 PDFBibTeX XMLCite \textit{S. Delvaux} et al., Sb. Math. 204, No. 1, 43--74 (2013; Zbl 1273.42027); translation from Mat. Sb. 204, No. 1, 47--78 (2013) Full Text: DOI arXiv
Arvesú, Jorge (ed.); López Lagomasino, Guillermo (ed.) Recent advances in orthogonal polynomials, special functions, and their applications. 11th international symposium, Universidad Carlos III de Madrid, Leganés, Spain, August 29 – September 2, 2011. Proceedings. (English) Zbl 1250.00015 Contemporary Mathematics 578. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6896-6/pbk). x, 254 p. (2012). MSC: 00B25 33-06 30-06 41-06 42-06 33C45 33C47 30E10 41A20 42C10 PDFBibTeX XMLCite \textit{J. Arvesú} (ed.) and \textit{G. López Lagomasino} (ed.), Recent advances in orthogonal polynomials, special functions, and their applications. 11th international symposium, Universidad Carlos III de Madrid, Leganés, Spain, August 29 -- September 2, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1250.00015) Full Text: DOI
Fidalgo Prieto, U.; López Lagomasino, G. Nikishin systems are perfect. (English) Zbl 1258.30015 Constr. Approx. 34, No. 3, 297-356 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 30E10 42C05 41A20 PDFBibTeX XMLCite \textit{U. Fidalgo Prieto} and \textit{G. López Lagomasino}, Constr. Approx. 34, No. 3, 297--356 (2011; Zbl 1258.30015) Full Text: DOI arXiv
Fidalgo Prieto, U.; López Lagomasino, G. Nikishin systems are perfect. The case of unbounded and touching supports. (English) Zbl 1222.41017 J. Approx. Theory 163, No. 6, 779-811 (2011). Reviewer: George Stoica (Saint John) MSC: 41A21 41A28 PDFBibTeX XMLCite \textit{U. Fidalgo Prieto} and \textit{G. López Lagomasino}, J. Approx. Theory 163, No. 6, 779--811 (2011; Zbl 1222.41017) Full Text: DOI arXiv
Fidalgo Prieto, U.; López García, A.; López Lagomasino, G.; Sorokin, V. N. Mixed type multiple orthogonal polynomials for two Nikishin systems. (English) Zbl 1213.30001 Constr. Approx. 32, No. 2, 255-306 (2010). Reviewer: Peter Lappan (East Lansing) MSC: 30A10 42C05 41A20 PDFBibTeX XMLCite \textit{U. Fidalgo Prieto} et al., Constr. Approx. 32, No. 2, 255--306 (2010; Zbl 1213.30001) Full Text: DOI arXiv Link
López Lagomasino, G.; Rocha, I. A. A canonical family of multiple orthogonal polynomials for Nikishin systems. (English) Zbl 1200.42013 J. Math. Anal. Appl. 372, No. 2, 390-401 (2010). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 PDFBibTeX XMLCite \textit{G. López Lagomasino} and \textit{I. A. Rocha}, J. Math. Anal. Appl. 372, No. 2, 390--401 (2010; Zbl 1200.42013) Full Text: DOI Link
Lagomasino, Guillermo López; Pestana, Domingo; Rodríguez, José M.; Yakubovich, Dmitry Computation of conformal representations of compact Riemann surfaces. (English) Zbl 1196.30041 Math. Comput. 79, No. 269, 365-381 (2010). MSC: 30F99 30C30 58C15 PDFBibTeX XMLCite \textit{G. L. Lagomasino} et al., Math. Comput. 79, No. 269, 365--381 (2010; Zbl 1196.30041) Full Text: DOI arXiv
De La Calle Ysern, B.; Lagomasino, G. López; Reichel, L. Stieltjes-type polynomials on the unit circle. (English) Zbl 1198.65049 Math. Comput. 78, No. 266, 969-997 (2009). MSC: 65D32 42A10 42C05 30E20 PDFBibTeX XMLCite \textit{B. De La Calle Ysern} et al., Math. Comput. 78, No. 266, 969--997 (2009; Zbl 1198.65049) Full Text: DOI
López Lagomasino, Guillermo; Mínguez Ceniceros, Judit Fourier-Padé approximants for Nikishin systems. (English) Zbl 1175.30036 Constr. Approx. 30, No. 1, 53-69 (2009). Reviewer: Markus Nieß (Eichstätt) MSC: 30E10 42C05 41A20 PDFBibTeX XMLCite \textit{G. López Lagomasino} and \textit{J. Mínguez Ceniceros}, Constr. Approx. 30, No. 1, 53--69 (2009; Zbl 1175.30036) Full Text: DOI
López García, Abey; López Lagomasino, Guillermo Relative asymptotic of multiple orthogonal polynomials for Nikishin systems. (English) Zbl 1170.42011 J. Approx. Theory 158, No. 2, 214-241 (2009). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 30E10 41A21 PDFBibTeX XMLCite \textit{A. López García} and \textit{G. López Lagomasino}, J. Approx. Theory 158, No. 2, 214--241 (2009; Zbl 1170.42011) Full Text: DOI arXiv Link
López García, Abey; López Lagomasino, Guillermo Ratio asymptotic of Hermite-Padé orthogonal polynomials for Nikishin systems. II. (English) Zbl 1153.42013 Adv. Math. 218, No. 4, 1081-1106 (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 30E10 41A21 PDFBibTeX XMLCite \textit{A. López García} and \textit{G. López Lagomasino}, Adv. Math. 218, No. 4, 1081--1106 (2008; Zbl 1153.42013) Full Text: DOI arXiv
López Lagomasino, G.; Martínez-Finkelshtein, A.; Pérez Izquierdo, I.; Pijeira Cabrera, H. Strong asymptotics for Sobolev orthogonal polynomials in the complex plane. (English) Zbl 1154.33303 J. Math. Anal. Appl. 340, No. 1, 521-535 (2008). MSC: 33C45 33C47 PDFBibTeX XMLCite \textit{G. López Lagomasino} et al., J. Math. Anal. Appl. 340, No. 1, 521--535 (2008; Zbl 1154.33303) Full Text: DOI Link
Bello-Hernández, M.; López-Lagomasino, G.; Mínguez-Ceniceros, J. Fourier-Padé approximants for Angelesco systems. (English) Zbl 1218.30093 Constr. Approx. 26, No. 3, 339-359 (2007). MSC: 30E10 42C05 PDFBibTeX XMLCite \textit{M. Bello-Hernández} et al., Constr. Approx. 26, No. 3, 339--359 (2007; Zbl 1218.30093) Full Text: DOI arXiv
Prieto, U. Fidalgo; Lagomasino, G. Lopez General results on the convergence of multipoint Hermite-Padé approximants of Nikishin systems. (English) Zbl 1105.30024 Constructive Approximation 25, No. 1, 89-107 (2007). Reviewer: Jacek Gilewicz (Marseille) MSC: 30E10 42C05 PDFBibTeX XMLCite \textit{U. F. Prieto} and \textit{G. L. Lagomasino}, Constr. Approx. 25, No. 1, 89--107 (2007; Zbl 1105.30024) Full Text: DOI
Prieto, U. Fidalgo; Lagomasino, G. López Rate of convergence of generalized Hermite-Padé approximants of Nikishin systems. (English) Zbl 1136.42306 Constructive Approximation 23, No. 2, 165-196 (2006). MSC: 42C05 41A21 41A25 PDFBibTeX XMLCite \textit{U. F. Prieto} and \textit{G. L. Lagomasino}, Constr. Approx. 23, No. 2, 165--196 (2006; Zbl 1136.42306) Full Text: DOI
Aptekarev, A. I.; Kalyagin, V.; López Lagomasino, G.; Rocha, I. A. On the limit behavior of recurrence coefficients for multiple orthogonal polynomials. (English) Zbl 1140.42011 J. Approx. Theory 139, No. 1-2, 346-370 (2006). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 47B36 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., J. Approx. Theory 139, No. 1--2, 346--370 (2006; Zbl 1140.42011) Full Text: DOI Link
Barrios Rolanía, D.; de la Calle Ysern, B.; López Lagomasino, G. Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures. (English) Zbl 1100.42014 J. Approximation Theory 139, No. 1-2, 223-256 (2006). Reviewer: Alexei Lukashov (Istanbul) MSC: 42C05 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} et al., J. Approx. Theory 139, No. 1--2, 223--256 (2006; Zbl 1100.42014) Full Text: DOI Link
Bello Hernández, M.; de la Calle Ysern, B.; López Lagomasino, G. Generalized Stieltjes polynomials and rational Gauss-Kronrod quadrature. (English) Zbl 1056.42017 Constructive Approximation 20, No. 2, 249-265 (2004). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 31A99 41A21 65D32 PDFBibTeX XMLCite \textit{M. Bello Hernández} et al., Constr. Approx. 20, No. 2, 249--265 (2004; Zbl 1056.42017)
Fidalgo Prieto, U.; Illán, J.; López Lagomasino, G. Hermite–Padé approximation and simultaneous quadrature formulas. (English) Zbl 1065.42019 J. Approximation Theory 126, No. 2, 171-197 (2004). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 41A21 41A55 PDFBibTeX XMLCite \textit{U. Fidalgo Prieto} et al., J. Approx. Theory 126, No. 2, 171--197 (2004; Zbl 1065.42019) Full Text: DOI
Barrios Rolanía, D.; López Lagomasino, G.; Saff, E. B. Determining radii of meromorphy via orthogonal polynomials on the unit circle. (English) Zbl 1051.30033 J. Approximation Theory 124, No. 2, 263-281 (2003). Reviewer: Jorge Bustamante González (Puebla) MSC: 30E10 42C05 41A20 30D30 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} et al., J. Approx. Theory 124, No. 2, 263--281 (2003; Zbl 1051.30033) Full Text: DOI Link
Branquinho, A.; Bustamante, J.; Foulquié Moreno, A.; López Lagomasino, G. Normal indices in Nikishin systems. (English) Zbl 1035.41010 J. Approximation Theory 124, No. 2, 254-262 (2003). MSC: 41A21 42C05 PDFBibTeX XMLCite \textit{A. Branquinho} et al., J. Approx. Theory 124, No. 2, 254--262 (2003; Zbl 1035.41010) Full Text: DOI Link
Fidalgo Prieto, Ulises; López Lagomasino, Guillermo On perfect Nikishin systems. (English) Zbl 1065.42020 Comput. Methods Funct. Theory 2, No. 2, 415-426 (2002). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 41A21 PDFBibTeX XMLCite \textit{U. Fidalgo Prieto} and \textit{G. López Lagomasino}, Comput. Methods Funct. Theory 2, No. 2, 415--426 (2002; Zbl 1065.42020) Full Text: DOI
Aptekarev, A. I.; López Lagomasino, G. T.; Marcellán, F. Orthogonal polynomials with respect to a differential operator. Existence and uniqueness. (English) Zbl 1029.42018 Rocky Mt. J. Math. 32, No. 2, 467-481 (2002). MSC: 42C05 33C45 33C47 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Rocky Mt. J. Math. 32, No. 2, 467--481 (2002; Zbl 1029.42018) Full Text: DOI Link
Bello Hernández, M.; de la Calle Ysern, B.; Guadalupe Hernández, J. J.; López Lagomasino, G. Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature. (English) Zbl 1020.41019 J. Anal. Math. 86, 1-23 (2002). Reviewer: Pablo Gonzalez-Vera (La Laguna) MSC: 41A60 41A55 41A21 PDFBibTeX XMLCite \textit{M. Bello Hernández} et al., J. Anal. Math. 86, 1--23 (2002; Zbl 1020.41019) Full Text: DOI
de la Calle Ysern, Bernardo; López Lagomasino, Guillermo Relative convergence of varying orthogonal polynomials. (Spanish. English summary) Zbl 1253.42025 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). 283-294 (2001). MSC: 42C05 30C10 30E10 30E15 PDFBibTeX XMLCite \textit{B. de la Calle Ysern} and \textit{G. López Lagomasino}, in: Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández. Logroño: Universidad de la Rioja, Servicio de Publicaciones. 283--294 (2001; Zbl 1253.42025) Full Text: EMIS
Barrios Rolanía, D.; López Lagomasino, G.; Saff, E. B. Asymptotics of orthogonal polynomials inside the unit circle and Szegő-Padé approximants. (English) Zbl 1009.42016 J. Comput. Appl. Math. 133, No. 1-2, 171-181 (2001). MSC: 42C05 41A21 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} et al., J. Comput. Appl. Math. 133, No. 1--2, 171--181 (2001; Zbl 1009.42016) Full Text: DOI
Cala Rodríguez, Francisco; López Lagomasino, Guillermo Multipoint rational approximants with preassigned poles. (English) Zbl 1160.41305 J. Math. Anal. Appl. 256, No. 1, 141-161 (2001). Reviewer: K. G. Malyutin (Sumy) MSC: 41A21 41A25 PDFBibTeX XMLCite \textit{F. Cala Rodríguez} and \textit{G. López Lagomasino}, J. Math. Anal. Appl. 256, No. 1, 141--161 (2001; Zbl 1160.41305) Full Text: DOI Link
López Lagomasino, G.; Pijeira Cabrera, H.; Pérez Izquierdo, I. Sobolev orthogonal polynomials in the complex plane. (English) Zbl 0973.42015 J. Comput. Appl. Math. 127, No. 1-2, 219-230 (2001). Reviewer: Jürgen Müller (Trier) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{G. López Lagomasino} et al., J. Comput. Appl. Math. 127, No. 1--2, 219--230 (2001; Zbl 0973.42015) Full Text: DOI
de la Calle Ysern, B.; López Lagomasino, G. Weak convergence of varying measures and Hermite-Padé orthogonal polynomials. (English) Zbl 1058.42503 Constructive Approximation 15, No. 4, 553-575 (1999). MSC: 42C05 30E10 PDFBibTeX XMLCite \textit{B. de la Calle Ysern} and \textit{G. López Lagomasino}, Constr. Approx. 15, No. 4, 553--575 (1999; Zbl 1058.42503) Full Text: DOI
Barrios Rolanía, D.; López Lagomasino, G.; Pijeira Cabrera, H. The moment problem for a Sobolev inner product. (English) Zbl 0980.44008 J. Approximation Theory 100, No. 2, 364-380 (1999). MSC: 44A60 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} et al., J. Approx. Theory 100, No. 2, 364--380 (1999; Zbl 0980.44008) Full Text: DOI Link
López Lagomasino, G.; Pijeira Cabrera, H. Zero location and \(n\)th root asymptotics of Sobolev orthogonal polynomials. (English) Zbl 0949.42020 J. Approximation Theory 99, No. 1, 30-43 (1999). Reviewer: M.Idemen (İstanbul) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{G. López Lagomasino} and \textit{H. Pijeira Cabrera}, J. Approx. Theory 99, No. 1, 30--43 (1999; Zbl 0949.42020) Full Text: DOI
Barrios Rolanía, D.; López Lagomasino, G. Ratio asymptotics for polynomials orthogonal on arcs on the unit circle. (English) Zbl 0931.42016 Constructive Approximation 15, No. 1, 1-31 (1999). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 42C05 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} and \textit{G. López Lagomasino}, Constr. Approx. 15, No. 1, 1--31 (1999; Zbl 0931.42016) Full Text: DOI
de la Calle Ysern, B.; López Lagomasino, G. Strong asymptotics of orthogonal polynomials with varying measures and Hermite-Padé approximants. (English) Zbl 0933.42017 J. Comput. Appl. Math. 99, No. 1-2, 91-103 (1998). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 30E10 PDFBibTeX XMLCite \textit{B. de la Calle Ysern} and \textit{G. López Lagomasino}, J. Comput. Appl. Math. 99, No. 1--2, 91--103 (1998; Zbl 0933.42017) Full Text: DOI
Bello Hernández, M.; López Lagomasino, G. Ratio and relative asymptotics of polynomials orthogonal on an arc of the unit circle. (English) Zbl 0897.42016 J. Approximation Theory 92, No. 2, 216-244 (1998). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 30E10 30E15 PDFBibTeX XMLCite \textit{M. Bello Hernández} and \textit{G. López Lagomasino}, J. Approx. Theory 92, No. 2, 216--244 (1998; Zbl 0897.42016) Full Text: DOI Link
Cala Rodríguez, F.; López Lagomasino, G. Multipoint Padé-type approximants. Exact rate of convergence. (English) Zbl 0896.41010 Constructive Approximation 14, No. 2, 259-272 (1998). Reviewer: D.S.Lubinsky (Wits) MSC: 41A21 41A25 30E10 42C05 65D30 PDFBibTeX XMLCite \textit{F. Cala Rodríguez} and \textit{G. López Lagomasino}, Constr. Approx. 14, No. 2, 259--272 (1998; Zbl 0896.41010) Full Text: DOI Link
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)
Guillot Carvajal, Mario; Hernández Herrera, René; López Lagomasino, Guillermo Asymptotic properties of polynomials orthogonal with respect to varying measures. (English) Zbl 0846.42015 Florenzano, Monique (ed.) et al., Approximation and optimization in the Caribbean II. Proceedings of the 2nd international conference held in Havana, Cuba, September 26 - October 1, 1993. Frankfurt a. M.: Peter Lang. Approximation Optimization. 8, 392-405 (1995). MSC: 42C05 PDFBibTeX XMLCite \textit{M. Guillot Carvajal} et al., in: Approximation and optimization in the Caribbean II. Proceedings of the 2nd international conference held in Havana, Cuba, September 26 - October 1, 1993. Frankfurt a. M.: Peter Lang. 392--405 (1995; Zbl 0846.42015)
Cala Rodriguez, Francisco; Lopez Lagomasino, Guillermo From Padé to Padé-type approximants. Exact rate of convergence. (English) Zbl 0841.41014 Florenzano, Monique (ed.) et al., Approximation and optimization in the Caribbean II. Proceedings of the 2nd international conference held in Havana, Cuba, September 26 - October 1, 1993. Frankfurt a. M.: Peter Lang. Approximation Optimization. 8, 155-163 (1995). MSC: 41A21 41A25 42C05 30E10 PDFBibTeX XMLCite \textit{F. Cala Rodriguez} and \textit{G. Lopez Lagomasino}, in: Approximation and optimization in the Caribbean II. Proceedings of the 2nd international conference held in Havana, Cuba, September 26 - October 1, 1993. Frankfurt a. M.: Peter Lang. 155--163 (1995; Zbl 0841.41014)
López Lagomasino, G.; Martínez Finkelshtein, A. Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials. (English) Zbl 0834.41015 Constructive Approximation 11, No. 2, 255-286 (1995). Reviewer: J.Gilewicz (Marseille) MSC: 41A21 41A25 42C05 30E10 31A99 PDFBibTeX XMLCite \textit{G. López Lagomasino} and \textit{A. Martínez Finkelshtein}, Constr. Approx. 11, No. 2, 255--286 (1995; Zbl 0834.41015) Full Text: DOI
Hernández Herrera, René; López Lagomasino, Guillermo Relative asymptotic behavior of sequences of orthogonal polynomials on the real line. (Spanish. English summary) Zbl 1080.42508 Rev. Cienc. Mat. 12, No. 2-3, 155-169 (1991). MSC: 42C05 PDFBibTeX XMLCite \textit{R. Hernández Herrera} and \textit{G. López Lagomasino}, Rev. Cienc. Mat. 12, No. 2--3, 155--169 (1991; Zbl 1080.42508)
López Lagomasino, Guillermo Asymptotics of polynomials orthogonal with respect to varying measures. (English) Zbl 0669.42012 Constructive Approximation 5, No. 2, 199-219 (1989). Reviewer: W.van Assche MSC: 42C05 41A25 PDFBibTeX XMLCite \textit{G. López Lagomasino}, Constr. Approx. 5, No. 2, 199--219 (1989; Zbl 0669.42012) Full Text: DOI
Hernández Herrera, René; López Lagomasino, Guillermo Relative asymptotics of orthogonal polynomials with respect to varying measures. II. (English) Zbl 0676.42024 Approximation and optimization, Proc. Int. Semin., Havana/Cuba 1987, Lect. Notes Math. 1354, 140-154 (1988). Reviewer: R.Hernandez Herrera MSC: 42C05 PDFBibTeX XML
Herrera, René Hernánadez; Lagomasino, Guillermo López Relative asymptotics of orthogonal polynomials with respect to varying measures. (English) Zbl 0648.33009 Rev. Cienc. Mat. 8, No. 3, 17-35 (1987). Reviewer: M.G.de Bruin MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{R. H. Herrera} and \textit{G. L. Lagomasino}, Rev. Cienc. Mat. 8, No. 3, 17--35 (1987; Zbl 0648.33009)
López Lagomasino, Guillermo Strong convergence for sequence of polynomials, orthonormal with respect to varying measures on an interval. (English) Zbl 0622.42017 Rev. Cienc. Mat. 7, No. 3, 3-16 (1986). MSC: 42C05 41A20 PDFBibTeX XMLCite \textit{G. López Lagomasino}, Rev. Cienc. Mat. 7, No. 3, 3--16 (1986; Zbl 0622.42017)
Lagomasino, G. López Asymptotic convergence of the ratio of orthogonal polynomials with respect to varying measures. (English) Zbl 0604.30043 Publ. Math. Orsay 86-02, Expos. No. 2, 28 p. (1986). MSC: 30E10 42C05 41A21 PDFBibTeX XML
López Lagomasino, G. Survey on multipoint Padé approximation to Markov type meromorphic functions and asymptotic properties of the orthogonal polynomials generated by them. (English) Zbl 0603.41009 Publ. Math. Orsay 86-02, Expos. No. 3, 8 p. (1986). MSC: 41A21 42C05 30E10 PDFBibTeX XML
López Lagomasino, G. Survey on multipoint Padé approximation to Markov type meromorphic functions and asymptotic properties of the orthogonal polynomials generated by them. (English) Zbl 0588.41010 Polynômes orthogonaux et applications, Proc. Laguerre Symp., Bar-le- Duc/France 1984, Lect. Notes Math. 1171, 309-316 (1985). Reviewer: J.Karlsson MSC: 41A21 42C05 PDFBibTeX XML