Edit Profile (opens in new tab) López Lagomasino, Guillermo Tomás Co-Author Distance Author ID: lopez-lagomasino.guillermo Published as: López Lagomasino, G.; López Lagomasino, Guillermo; Lagomasino, G. López; Lopez Lagomasino, G.; Lagomasino, Guillermo López; Lopez Lagomasino, Guillermo; López-Lagomasino, Guillermo; Lagomasino, G. Lopez; Lagomasino, Guillermo Lopez; Lagomasino López, Guillermo; López Lagomasino, G. T.; Lagomasino, López G.; López-Lagomasino, G.; Lagomasino, G. L. more...less Homepage: http://gama.uc3m.es/index.php/glopez.html External Links: MGP · Google Scholar · dblp · GND Documents Indexed: 110 Publications since 1981, including 4 Additional arXiv Preprints 5 Contributions as Editor Reviewing Activity: 139 Reviews Biographic References: 2 Publications Co-Authors: 65 Co-Authors with 98 Joint Publications 1,277 Co-Co-Authors all top 5 Co-Authors 9 single-authored 8 Barrios Rolanía, D. 8 Martínez-Finkelshtein, Andrei 8 Peralta, S. Medina 8 Pijeira-Cabrera, Héctor 6 Aptekarev, Alexander Ivanovich 6 Bosuwan, Nattapong 6 Illán González, Jesús 6 Saff, Edward Barry 5 Bello Hernández, Manuel 5 Bustamante González, Jorge 5 González Ricardo, Luis Giraldo 5 López García, Abey 5 Marcellán Español, Francisco 4 Cala Rodriguez, Francisco 4 Hernández Herrera, René 3 Cacoq, J. 3 Fernandez Infante, Abel 3 Pérez Izquierdo, I. 3 Prieto, U. Fidalgo 2 Guadalupe Hernández, José Javier (Chicho) 2 Mínguez Ceniceros, Judit 2 Nevai, Paul G. 2 Orive Rodríguez, Ramón Angel 2 Reichel, Lothar 2 Rocha, Ignacio A. 2 Van Assche, Walter 2 Vavilov, Valeri V. 1 Alfaro García, Manuel 1 Álvarez-Nodarse, Renato 1 Arvesú, Jorge 1 Branquinho, Amílcar José Pinto Lopes 1 Bultheel, Adhemar François 1 de la Calle Ysern, Bernardo 1 Delvaux, Steven 1 Diallo, Ahmadon Kangun 1 Felipe, Raúl 1 Fidalgo Prieto, Ulises 1 Fidalgo, Ulises 1 Florenzano, Monique 1 Foulquié Moreno, Ana Pilar 1 Geronimo, Jeffrey S. 1 Gerpe, Y. Zaldivar 1 González-Vera, Pablo 1 Gonzalez, A. Diaz 1 Guddat, Jürgen 1 Guillot Carvajal, Mario 1 Herrera, René Hernánadez 1 Jiménez Paiz, Mateo M. 1 Jiménez, Miguel Antonio 1 Jongen, Hubertus Th. 1 Kalyagin, Valery A. 1 López, Abey 1 Njåstad, Olav 1 Pestana, Domingo 1 Piedra de la Torre, René 1 Piñeiro, L. R. 1 Ribalta Stanford, Angel 1 Ribalta, Angel 1 Rodríguez García, José Manuel 1 Sorokin, Vladimir N. 1 Stahl, Herbert Robert 1 Szmigielski, Jacek 1 Torrano Giménez, E. 1 Totik, Vilmos 1 Yakubovich, Dmitry V. 1 Zaldivar Gerpe, Yanely all top 5 Serials 21 Journal of Approximation Theory 14 Constructive Approximation 12 Revista Ciencias Matemáticas 9 Journal of Computational and Applied Mathematics 5 Journal of Mathematical Analysis and Applications 4 Sbornik: Mathematics 3 Advances in Mathematics 3 Mediterranean Journal of Mathematics 2 Russian Mathematical Surveys 2 Mathematics of Computation 2 Computational Methods and Function Theory 2 Jaen Journal on Approximation 1 Journal d’Analyse Mathématique 1 Rocky Mountain Journal of Mathematics 1 Numerische Mathematik 1 Acta Applicandae Mathematicae 1 Physica D 1 Linear Algebra and its Applications 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Advances in Computational Mathematics 1 Integral Transforms and Special Functions 1 Journal of Difference Equations and Applications 1 Doklady Mathematics 1 La Gaceta de la Real Sociedad Matemática Española 1 Approximation and Optimization 1 Contemporary Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA all top 5 Fields 80 Approximations and expansions (41-XX) 61 Functions of a complex variable (30-XX) 55 Harmonic analysis on Euclidean spaces (42-XX) 11 Special functions (33-XX) 8 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 4 Operator theory (47-XX) 3 Potential theory (31-XX) 2 History and biography (01-XX) 2 Sequences, series, summability (40-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 84 Publications have been cited 661 times in 327 Documents Cited by ▼ Year ▼ Nikishin systems are perfect. Zbl 1258.30015 Fidalgo Prieto, U.; López Lagomasino, G. 42 2011 Zero location and \(n\)th root asymptotics of Sobolev orthogonal polynomials. Zbl 0949.42020 López Lagomasino, G.; Pijeira Cabrera, H. 32 1999 Asymptotics of polynomials orthogonal with respect to varying measures. Zbl 0669.42012 López Lagomasino, Guillermo 28 1989 On the limit behavior of recurrence coefficients for multiple orthogonal polynomials. Zbl 1140.42011 Aptekarev, A. I.; Kalyagin, V.; López Lagomasino, G.; Rocha, I. A. 25 2006 Ratio asymptotics for polynomials orthogonal on arcs on the unit circle. Zbl 0931.42016 Barrios Rolanía, D.; López Lagomasino, G. 23 1999 Ratio and relative asymptotics of polynomials orthogonal on an arc of the unit circle. Zbl 0897.42016 Bello Hernández, M.; López Lagomasino, G. 22 1998 Hermite-Padé approximation for Nikishin systems of analytic functions. Zbl 0809.30031 Bustamante, J.; Lopez Lagomasino, G. 21 1992 Sobolev orthogonal polynomials in the complex plane. Zbl 0973.42015 López Lagomasino, G.; Pijeira Cabrera, H.; Pérez Izquierdo, I. 20 2001 Mixed type multiple orthogonal polynomials for two Nikishin systems. Zbl 1213.30001 Fidalgo Prieto, U.; López García, A.; López Lagomasino, G.; Sorokin, V. N. 19 2010 Hermite–Padé approximation and simultaneous quadrature formulas. Zbl 1065.42019 Fidalgo Prieto, U.; Illán, J.; López Lagomasino, G. 17 2004 Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials. Zbl 0834.41015 López Lagomasino, G.; Martínez Finkelshtein, A. 16 1995 Asymptotic of extremal polynomials in the complex plane. Zbl 1084.30043 López Lagomasino, G.; Pérez Izquierdo, I.; Pijeira Cabrera, H. 15 2005 Nikishin systems are perfect. The case of unbounded and touching supports. Zbl 1222.41017 Fidalgo Prieto, U.; López Lagomasino, G. 14 2011 On the convergence of quadrature formulas connected with multipoint Padé-type approximation. Zbl 0856.41027 González-Vera, P.; Jiménez Paiz, M.; Orive, R.; López Lagomasino, G. 14 1996 Matrices, moments, and rational quadrature. Zbl 1191.65010 López Lagomasino, G.; Reichel, L.; Wunderlich, L. 14 2008 Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation. Zbl 1435.30119 López Lagomasino, G.; Medina Peralta, S.; Szmigielski, J. 14 2019 Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures. Zbl 1100.42014 Barrios Rolanía, D.; de la Calle Ysern, B.; López Lagomasino, G. 13 2006 Rate of convergence of generalized Hermite-Padé approximants of Nikishin systems. Zbl 1136.42306 Prieto, U. Fidalgo; Lagomasino, G. López 12 2006 General results on the convergence of multipoint Hermite-Padé approximants of Nikishin systems. Zbl 1105.30024 Prieto, U. Fidalgo; Lagomasino, G. Lopez 12 2007 On the convergence of type I Hermite-Padé approximants. Zbl 1307.30078 López Lagomasino, G.; Medina Peralta, S. 12 2015 Direct and inverse results on row sequences of Hermite-Padé approximants. Zbl 1271.30010 Cacoq, J.; de la Calle Ysern, B.; López Lagomasino, G. 12 2013 Ratio asymptotic of Hermite-Padé orthogonal polynomials for Nikishin systems. II. Zbl 1153.42013 López García, Abey; López Lagomasino, Guillermo 10 2008 Weak convergence of varying measures and Hermite-Padé orthogonal polynomials. Zbl 1058.42503 de la Calle Ysern, B.; López Lagomasino, G. 10 1999 On perfect Nikishin systems. Zbl 1065.42020 Fidalgo Prieto, Ulises; López Lagomasino, Guillermo 10 2002 Riemann-Hilbert analysis for a Nikishin system. Zbl 1398.30024 López Lagomasino, G.; Van Assche, W. 10 2018 On the domain of convergence and poles of complex \(J\)-fractions. Zbl 0909.30002 Barrios Rolanía, D.; López Lagomasino, G.; Martínez Finkelshtein, A.; Torrano Giménez, E. 9 1998 Incomplete Padé approximation and convergence of row sequences of Hermite-Padé approximants. Zbl 1350.41016 Cacoq, J.; De la Calle Ysern, B.; López Lagomasino, G. 9 2013 Multipoint Padé-type approximants. Exact rate of convergence. Zbl 0896.41010 Cala Rodríguez, F.; López Lagomasino, G. 8 1998 On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials. Zbl 1379.42011 Aptekarev, A. I.; López Lagomasino, G.; Martínez-Finkelshtein, A. 8 2017 The moment problem for a Sobolev inner product. Zbl 0980.44008 Barrios Rolanía, D.; López Lagomasino, G.; Pijeira Cabrera, H. 7 1999 Asymptotics of orthogonal polynomials inside the unit circle and Szegő-Padé approximants. Zbl 1009.42016 Barrios Rolanía, D.; López Lagomasino, G.; Saff, E. B. 7 2001 Strong asymptotics of orthogonal polynomials with varying measures and Hermite-Padé approximants. Zbl 0933.42017 de la Calle Ysern, B.; López Lagomasino, G. 7 1998 Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line. Zbl 1106.41031 López Lagomasino, G.; Español, F. Marcellán; Pijeira Cabrera, H. 7 2006 Fourier-Padé approximants for Angelesco systems. Zbl 1218.30093 Bello-Hernández, M.; López-Lagomasino, G.; Mínguez-Ceniceros, J. 7 2007 Determining singularities using rows of Pade-orthogonal approximants. Zbl 1290.30040 Bosuwan, Nattapong; Lagomasino, Guillermo López; Saff, Edward B. 7 2013 High-order recurrence relations, Hermite-Padé approximation and Nikishin systems. Zbl 1401.30037 Barrios Rolanía, D.; Geronimo, J. S.; López Lagomasino, G. 7 2018 Asymptotic of Cauchy biorthogonal polynomials. Zbl 1435.30115 Fidalgo, U.; Lopez Lagomasino, G.; Medina Peralta, S. 7 2020 Determining system poles using row sequences of orthogonal Hermite-Padé approximants. Zbl 1392.41010 Bosuwan, N.; López Lagomasino, G. 6 2018 Survey on multipoint Padé approximation to Markov type meromorphic functions and asymptotic properties of the orthogonal polynomials generated by them. Zbl 0588.41010 López Lagomasino, G. 6 1985 Direct and inverse results on row sequences of simultaneous Padé-Faber approximants. Zbl 1417.30029 Bosuwan, Nattapong; López Lagomasino, Guillermo 6 2019 Orthogonal polynomials with respect to a differential operator. Existence and uniqueness. Zbl 1029.42018 Aptekarev, A. I.; López Lagomasino, G. T.; Marcellán, F. 5 2002 Hermite-Padé approximation for certain systems of meromorphic functions. Zbl 1320.30067 Lagomasino, G. López; Peralta, S. Medina; Prieto, U. Fidalgo 5 2015 A family of Nikishin systems with periodic recurrence coefficients. Zbl 1273.42027 Delvaux, Steven; López, Abey; Lagomasino López, Guillermo 5 2013 Computation of conformal representations of compact Riemann surfaces. Zbl 1196.30041 Lagomasino, Guillermo López; Pestana, Domingo; Rodríguez, José M.; Yakubovich, Dmitry 5 2010 Asymptotic behavior of solutions of general three term recurrence relations. Zbl 1160.39001 Barrios Rolanía, D.; López Lagomasino, G. 4 2007 Normal indices in Nikishin systems. Zbl 1035.41010 Branquinho, A.; Bustamante, J.; Foulquié Moreno, A.; López Lagomasino, G. 4 2003 Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. Zbl 1381.42036 López-García, Abey; López Lagomasino, Guillermo 4 2018 Inverse theorem on row sequences of linear Padé-orthogonal approximation. Zbl 1336.30058 Bosuwan, N.; López Lagomasino, G. 4 2015 An introduction to multiple orthogonal polynomials and Hermite-Padé approximation. Zbl 1460.42041 López-Lagomasino, Guillermo 4 2021 Convergence of row sequences of simultaneous Fourier-Padé approximation. Zbl 1295.41011 Cacoq, J.; Lagomasino, López G. 4 2012 On the interpolatory methods of numerical integration and their connection with the rational approximation. Zbl 0634.41011 López Lagomasino, Guillermo; Illán González, Jesús 3 1987 Convergence and computation of simultaneous rational quadrature formulas. Zbl 1168.65326 Fidalgo Prieto, U.; Illán González, J. R.; López Lagomasino, G. 3 2007 Quadrature formulas for unbounded intervals. Zbl 0514.65011 Lopez Lagomasino, G.; Illan Gonzalez, J. 3 1982 From Padé to Padé-type approximants. Exact rate of convergence. Zbl 0841.41014 Cala Rodriguez, Francisco; Lopez Lagomasino, Guillermo 3 1995 Relative asymptotic of multiple orthogonal polynomials for Nikishin systems. Zbl 1170.42011 López García, Abey; López Lagomasino, Guillermo 3 2009 Approximation of transfer functions of unstable infinite dimensional control systems by rational interpolants with prescribed poles. Zbl 0967.41006 López Lagomasino, G.; Ribalta, Angel 3 2000 Multipoint rational approximants with preassigned poles. Zbl 1160.41305 Cala Rodríguez, Francisco; López Lagomasino, Guillermo 3 2001 Fourier-Padé approximants for Nikishin systems. Zbl 1175.30036 López Lagomasino, Guillermo; Mínguez Ceniceros, Judit 3 2009 Determining radii of meromorphy via orthogonal polynomials on the unit circle. Zbl 1051.30033 Barrios Rolanía, D.; López Lagomasino, G.; Saff, E. B. 3 2003 Survey on recent advances in inverse problems of Padé approximation theory. Zbl 0571.41012 Lagomasino, G. López; Vavilov, V. V. 3 1984 On the convergence of type I Hermite-Padé approximants for rational perturbations of a Nikishin system. Zbl 1317.30054 López Lagomasino, G.; Medina Peralta, S. 3 2015 Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature. Zbl 1020.41019 Bello Hernández, M.; de la Calle Ysern, B.; Guadalupe Hernández, J. J.; López Lagomasino, G. 3 2002 Stieltjes-type polynomials on the unit circle. Zbl 1198.65049 De La Calle Ysern, B.; Lagomasino, G. López; Reichel, L. 3 2009 Higher order recurrences and row sequences of Hermite-Padé approximation. Zbl 1412.30124 López Lagomasino, G.; Zaldivar Gerpe, Y. 3 2018 Direct and inverse results for multipoint Hermite-Padé approximants. Zbl 1426.30024 Bosuwan, N.; Lagomasino, G. López; Gerpe, Y. Zaldivar 3 2019 Overconvergence of subsequences of rows of Padé approximants with gaps. Zbl 0943.41007 Fernández Infante, A.; López Lagomasino, G. 2 1999 Approximation of transfer functions of infinite dimensional dynamical systems by rational interpolants with prescribed poles. Zbl 0967.41008 Ribalta Stanford, Angel; López Lagomasino, Guillermo 2 2000 Andrei Aleksandrovich Gonchar (on his 80th birthday). Zbl 1236.01017 Aptekarev, A. I.; Lagomasino, G. L.; Saff, E. B.; Stahl, H.; Totik, V. 2 2011 Inverse results on row sequences of Hermite-Padé approximation. Zbl 1390.41017 López Lagomasino, Guillermo; Zaldivar Gerpe, Yanely 2 2017 Convergence rate of Padé-type approximants for Stieltjes functions. Zbl 0934.41010 Bello Hernández, M.; Cala Rodríguez, F.; Guadalupe, J. J.; López Lagomasino, G. 2 1998 On the convergence of multi-level Hermite-Padé approximants for a class of meromorphic functions. Zbl 1450.30057 González Ricardo, L. G.; Lagomasino, G. López; Peralta, S. Medina 2 2020 A canonical family of multiple orthogonal polynomials for Nikishin systems. Zbl 1200.42013 López Lagomasino, G.; Rocha, I. A. 2 2010 Andrei Aleksandrovich Gonchar November 21, 1931 – October 10, 2012. Zbl 1279.01042 López Lagomasino, Guillermo; Finkelshtein, Andrei Martínez; Nevai, Paul; Saff, Edward B. 2 2013 Relative asymptotics of orthogonal polynomials with respect to varying measures. Zbl 0648.33009 Herrera, René Hernánadez; Lagomasino, Guillermo López 1 1987 Relative asymptotics of orthogonal polynomials with respect to varying measures. II. Zbl 0676.42024 Hernández Herrera, René; López Lagomasino, Guillermo 1 1988 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. Zbl 1250.00015 1 2012 Generalized Hermite-Padé approximation for Nikishin systems of three functions. Zbl 1186.41011 Fidalgo Prieto, U.; López Lagomasino, G. 1 2010 Convergence of multipoint Padé-type approximants. Zbl 0982.41008 de la Calle Ysern, B.; Lagomasino, G. López 1 2001 Generalized Stieltjes polynomials and rational Gauss-Kronrod quadrature. Zbl 1056.42017 Bello Hernández, M.; de la Calle Ysern, B.; López Lagomasino, G. 1 2004 A note on generalized quadrature formulas of Gauss-Jacobi type. Zbl 0596.41030 López Lagomasino, Guillermo; Illán, Jesús 1 1984 Asymptotic convergence of the ratio of orthogonal polynomials with respect to varying measures. Zbl 0604.30043 Lagomasino, G. López 1 1986 Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. II. Zbl 1440.42121 López-García, Abey; López Lagomasino, Guillermo 1 2020 Asymptotic zero distribution for a class of extremal polynomials. Zbl 1465.42001 Díaz González, A.; López Lagomasino, G.; Pijeira Cabrera, H. 1 2021 On the convergence of multi-level Hermite-Padé approximants. Zbl 1523.41005 González Ricardo, L. G.; López Lagomasino, G.; Peralta, S. Medina 1 2022 On the convergence of multi-level Hermite-Padé approximants. Zbl 1523.41005 González Ricardo, L. G.; López Lagomasino, G.; Peralta, S. Medina 1 2022 An introduction to multiple orthogonal polynomials and Hermite-Padé approximation. Zbl 1460.42041 López-Lagomasino, Guillermo 4 2021 Asymptotic zero distribution for a class of extremal polynomials. Zbl 1465.42001 Díaz González, A.; López Lagomasino, G.; Pijeira Cabrera, H. 1 2021 Asymptotic of Cauchy biorthogonal polynomials. Zbl 1435.30115 Fidalgo, U.; Lopez Lagomasino, G.; Medina Peralta, S. 7 2020 On the convergence of multi-level Hermite-Padé approximants for a class of meromorphic functions. Zbl 1450.30057 González Ricardo, L. G.; Lagomasino, G. López; Peralta, S. Medina 2 2020 Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. II. Zbl 1440.42121 López-García, Abey; López Lagomasino, Guillermo 1 2020 Mixed type Hermite-Padé approximation inspired by the Degasperis-Procesi equation. Zbl 1435.30119 López Lagomasino, G.; Medina Peralta, S.; Szmigielski, J. 14 2019 Direct and inverse results on row sequences of simultaneous Padé-Faber approximants. Zbl 1417.30029 Bosuwan, Nattapong; López Lagomasino, Guillermo 6 2019 Direct and inverse results for multipoint Hermite-Padé approximants. Zbl 1426.30024 Bosuwan, N.; Lagomasino, G. López; Gerpe, Y. Zaldivar 3 2019 Riemann-Hilbert analysis for a Nikishin system. Zbl 1398.30024 López Lagomasino, G.; Van Assche, W. 10 2018 High-order recurrence relations, Hermite-Padé approximation and Nikishin systems. Zbl 1401.30037 Barrios Rolanía, D.; Geronimo, J. S.; López Lagomasino, G. 7 2018 Determining system poles using row sequences of orthogonal Hermite-Padé approximants. Zbl 1392.41010 Bosuwan, N.; López Lagomasino, G. 6 2018 Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. Zbl 1381.42036 López-García, Abey; López Lagomasino, Guillermo 4 2018 Higher order recurrences and row sequences of Hermite-Padé approximation. Zbl 1412.30124 López Lagomasino, G.; Zaldivar Gerpe, Y. 3 2018 On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials. Zbl 1379.42011 Aptekarev, A. I.; López Lagomasino, G.; Martínez-Finkelshtein, A. 8 2017 Inverse results on row sequences of Hermite-Padé approximation. Zbl 1390.41017 López Lagomasino, Guillermo; Zaldivar Gerpe, Yanely 2 2017 On the convergence of type I Hermite-Padé approximants. Zbl 1307.30078 López Lagomasino, G.; Medina Peralta, S. 12 2015 Hermite-Padé approximation for certain systems of meromorphic functions. Zbl 1320.30067 Lagomasino, G. López; Peralta, S. Medina; Prieto, U. Fidalgo 5 2015 Inverse theorem on row sequences of linear Padé-orthogonal approximation. Zbl 1336.30058 Bosuwan, N.; López Lagomasino, G. 4 2015 On the convergence of type I Hermite-Padé approximants for rational perturbations of a Nikishin system. Zbl 1317.30054 López Lagomasino, G.; Medina Peralta, S. 3 2015 Direct and inverse results on row sequences of Hermite-Padé approximants. Zbl 1271.30010 Cacoq, J.; de la Calle Ysern, B.; López Lagomasino, G. 12 2013 Incomplete Padé approximation and convergence of row sequences of Hermite-Padé approximants. Zbl 1350.41016 Cacoq, J.; De la Calle Ysern, B.; López Lagomasino, G. 9 2013 Determining singularities using rows of Pade-orthogonal approximants. Zbl 1290.30040 Bosuwan, Nattapong; Lagomasino, Guillermo López; Saff, Edward B. 7 2013 A family of Nikishin systems with periodic recurrence coefficients. Zbl 1273.42027 Delvaux, Steven; López, Abey; Lagomasino López, Guillermo 5 2013 Andrei Aleksandrovich Gonchar November 21, 1931 – October 10, 2012. Zbl 1279.01042 López Lagomasino, Guillermo; Finkelshtein, Andrei Martínez; Nevai, Paul; Saff, Edward B. 2 2013 Convergence of row sequences of simultaneous Fourier-Padé approximation. Zbl 1295.41011 Cacoq, J.; Lagomasino, López G. 4 2012 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. Zbl 1250.00015 1 2012 Nikishin systems are perfect. Zbl 1258.30015 Fidalgo Prieto, U.; López Lagomasino, G. 42 2011 Nikishin systems are perfect. The case of unbounded and touching supports. Zbl 1222.41017 Fidalgo Prieto, U.; López Lagomasino, G. 14 2011 Andrei Aleksandrovich Gonchar (on his 80th birthday). Zbl 1236.01017 Aptekarev, A. I.; Lagomasino, G. L.; Saff, E. B.; Stahl, H.; Totik, V. 2 2011 Mixed type multiple orthogonal polynomials for two Nikishin systems. Zbl 1213.30001 Fidalgo Prieto, U.; López García, A.; López Lagomasino, G.; Sorokin, V. N. 19 2010 Computation of conformal representations of compact Riemann surfaces. Zbl 1196.30041 Lagomasino, Guillermo López; Pestana, Domingo; Rodríguez, José M.; Yakubovich, Dmitry 5 2010 A canonical family of multiple orthogonal polynomials for Nikishin systems. Zbl 1200.42013 López Lagomasino, G.; Rocha, I. A. 2 2010 Generalized Hermite-Padé approximation for Nikishin systems of three functions. Zbl 1186.41011 Fidalgo Prieto, U.; López Lagomasino, G. 1 2010 Relative asymptotic of multiple orthogonal polynomials for Nikishin systems. Zbl 1170.42011 López García, Abey; López Lagomasino, Guillermo 3 2009 Fourier-Padé approximants for Nikishin systems. Zbl 1175.30036 López Lagomasino, Guillermo; Mínguez Ceniceros, Judit 3 2009 Stieltjes-type polynomials on the unit circle. Zbl 1198.65049 De La Calle Ysern, B.; Lagomasino, G. López; Reichel, L. 3 2009 Matrices, moments, and rational quadrature. Zbl 1191.65010 López Lagomasino, G.; Reichel, L.; Wunderlich, L. 14 2008 Ratio asymptotic of Hermite-Padé orthogonal polynomials for Nikishin systems. II. Zbl 1153.42013 López García, Abey; López Lagomasino, Guillermo 10 2008 General results on the convergence of multipoint Hermite-Padé approximants of Nikishin systems. Zbl 1105.30024 Prieto, U. Fidalgo; Lagomasino, G. Lopez 12 2007 Fourier-Padé approximants for Angelesco systems. Zbl 1218.30093 Bello-Hernández, M.; López-Lagomasino, G.; Mínguez-Ceniceros, J. 7 2007 Asymptotic behavior of solutions of general three term recurrence relations. Zbl 1160.39001 Barrios Rolanía, D.; López Lagomasino, G. 4 2007 Convergence and computation of simultaneous rational quadrature formulas. Zbl 1168.65326 Fidalgo Prieto, U.; Illán González, J. R.; López Lagomasino, G. 3 2007 On the limit behavior of recurrence coefficients for multiple orthogonal polynomials. Zbl 1140.42011 Aptekarev, A. I.; Kalyagin, V.; López Lagomasino, G.; Rocha, I. A. 25 2006 Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures. Zbl 1100.42014 Barrios Rolanía, D.; de la Calle Ysern, B.; López Lagomasino, G. 13 2006 Rate of convergence of generalized Hermite-Padé approximants of Nikishin systems. Zbl 1136.42306 Prieto, U. Fidalgo; Lagomasino, G. López 12 2006 Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line. Zbl 1106.41031 López Lagomasino, G.; Español, F. Marcellán; Pijeira Cabrera, H. 7 2006 Asymptotic of extremal polynomials in the complex plane. Zbl 1084.30043 López Lagomasino, G.; Pérez Izquierdo, I.; Pijeira Cabrera, H. 15 2005 Hermite–Padé approximation and simultaneous quadrature formulas. Zbl 1065.42019 Fidalgo Prieto, U.; Illán, J.; López Lagomasino, G. 17 2004 Generalized Stieltjes polynomials and rational Gauss-Kronrod quadrature. Zbl 1056.42017 Bello Hernández, M.; de la Calle Ysern, B.; López Lagomasino, G. 1 2004 Normal indices in Nikishin systems. Zbl 1035.41010 Branquinho, A.; Bustamante, J.; Foulquié Moreno, A.; López Lagomasino, G. 4 2003 Determining radii of meromorphy via orthogonal polynomials on the unit circle. Zbl 1051.30033 Barrios Rolanía, D.; López Lagomasino, G.; Saff, E. B. 3 2003 On perfect Nikishin systems. Zbl 1065.42020 Fidalgo Prieto, Ulises; López Lagomasino, Guillermo 10 2002 Orthogonal polynomials with respect to a differential operator. Existence and uniqueness. Zbl 1029.42018 Aptekarev, A. I.; López Lagomasino, G. T.; Marcellán, F. 5 2002 Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature. Zbl 1020.41019 Bello Hernández, M.; de la Calle Ysern, B.; Guadalupe Hernández, J. J.; López Lagomasino, G. 3 2002 Sobolev orthogonal polynomials in the complex plane. Zbl 0973.42015 López Lagomasino, G.; Pijeira Cabrera, H.; Pérez Izquierdo, I. 20 2001 Asymptotics of orthogonal polynomials inside the unit circle and Szegő-Padé approximants. Zbl 1009.42016 Barrios Rolanía, D.; López Lagomasino, G.; Saff, E. B. 7 2001 Multipoint rational approximants with preassigned poles. Zbl 1160.41305 Cala Rodríguez, Francisco; López Lagomasino, Guillermo 3 2001 Convergence of multipoint Padé-type approximants. Zbl 0982.41008 de la Calle Ysern, B.; Lagomasino, G. López 1 2001 Approximation of transfer functions of unstable infinite dimensional control systems by rational interpolants with prescribed poles. Zbl 0967.41006 López Lagomasino, G.; Ribalta, Angel 3 2000 Approximation of transfer functions of infinite dimensional dynamical systems by rational interpolants with prescribed poles. Zbl 0967.41008 Ribalta Stanford, Angel; López Lagomasino, Guillermo 2 2000 Zero location and \(n\)th root asymptotics of Sobolev orthogonal polynomials. Zbl 0949.42020 López Lagomasino, G.; Pijeira Cabrera, H. 32 1999 Ratio asymptotics for polynomials orthogonal on arcs on the unit circle. Zbl 0931.42016 Barrios Rolanía, D.; López Lagomasino, G. 23 1999 Weak convergence of varying measures and Hermite-Padé orthogonal polynomials. Zbl 1058.42503 de la Calle Ysern, B.; López Lagomasino, G. 10 1999 The moment problem for a Sobolev inner product. Zbl 0980.44008 Barrios Rolanía, D.; López Lagomasino, G.; Pijeira Cabrera, H. 7 1999 Overconvergence of subsequences of rows of Padé approximants with gaps. Zbl 0943.41007 Fernández Infante, A.; López Lagomasino, G. 2 1999 Ratio and relative asymptotics of polynomials orthogonal on an arc of the unit circle. Zbl 0897.42016 Bello Hernández, M.; López Lagomasino, G. 22 1998 On the domain of convergence and poles of complex \(J\)-fractions. Zbl 0909.30002 Barrios Rolanía, D.; López Lagomasino, G.; Martínez Finkelshtein, A.; Torrano Giménez, E. 9 1998 Multipoint Padé-type approximants. Exact rate of convergence. Zbl 0896.41010 Cala Rodríguez, F.; López Lagomasino, G. 8 1998 Strong asymptotics of orthogonal polynomials with varying measures and Hermite-Padé approximants. Zbl 0933.42017 de la Calle Ysern, B.; López Lagomasino, G. 7 1998 Convergence rate of Padé-type approximants for Stieltjes functions. Zbl 0934.41010 Bello Hernández, M.; Cala Rodríguez, F.; Guadalupe, J. J.; López Lagomasino, G. 2 1998 On the convergence of quadrature formulas connected with multipoint Padé-type approximation. Zbl 0856.41027 González-Vera, P.; Jiménez Paiz, M.; Orive, R.; López Lagomasino, G. 14 1996 Rate of convergence of two-point Padé approximants and logarithmic asymptotics of Laurent-type orthogonal polynomials. Zbl 0834.41015 López Lagomasino, G.; Martínez Finkelshtein, A. 16 1995 From Padé to Padé-type approximants. Exact rate of convergence. Zbl 0841.41014 Cala Rodriguez, Francisco; Lopez Lagomasino, Guillermo 3 1995 Hermite-Padé approximation for Nikishin systems of analytic functions. Zbl 0809.30031 Bustamante, J.; Lopez Lagomasino, G. 21 1992 Asymptotics of polynomials orthogonal with respect to varying measures. Zbl 0669.42012 López Lagomasino, Guillermo 28 1989 Relative asymptotics of orthogonal polynomials with respect to varying measures. II. Zbl 0676.42024 Hernández Herrera, René; López Lagomasino, Guillermo 1 1988 On the interpolatory methods of numerical integration and their connection with the rational approximation. Zbl 0634.41011 López Lagomasino, Guillermo; Illán González, Jesús 3 1987 Relative asymptotics of orthogonal polynomials with respect to varying measures. Zbl 0648.33009 Herrera, René Hernánadez; Lagomasino, Guillermo López 1 1987 Asymptotic convergence of the ratio of orthogonal polynomials with respect to varying measures. Zbl 0604.30043 Lagomasino, G. López 1 1986 Survey on multipoint Padé approximation to Markov type meromorphic functions and asymptotic properties of the orthogonal polynomials generated by them. Zbl 0588.41010 López Lagomasino, G. 6 1985 Survey on recent advances in inverse problems of Padé approximation theory. Zbl 0571.41012 Lagomasino, G. López; Vavilov, V. V. 3 1984 A note on generalized quadrature formulas of Gauss-Jacobi type. Zbl 0596.41030 López Lagomasino, Guillermo; Illán, Jesús 1 1984 Quadrature formulas for unbounded intervals. Zbl 0514.65011 Lopez Lagomasino, G.; Illan Gonzalez, J. 3 1982 all cited Publications top 5 cited Publications all top 5 Cited by 262 Authors 56 López Lagomasino, Guillermo Tomás 23 González-Vera, Pablo 19 Bultheel, Adhemar François 17 Rodríguez García, José Manuel 16 Díaz-Mendoza, Carlos 15 Aptekarev, Alexander Ivanovich 15 Orive Rodríguez, Ramón Angel 15 Pijeira-Cabrera, Héctor 14 Reichel, Lothar 13 Van Assche, Walter 12 Marcellán Español, Francisco 12 Njåstad, Olav 11 Bello Hernández, Manuel 11 Bosuwan, Nattapong 10 Martínez-Finkelshtein, Andrei 9 Peralta, S. Medina 9 Quintana, Yamilet 9 Suetin, Sergeĭ Pavlovich 8 Barrios Rolanía, D. 8 Yattselev, Maxim L. 7 Hendriksen, Erik 7 Mañas, Manuel 7 Saff, Edward Barry 7 Simon, Barry 6 López García, Abey 6 Portilla, Ana 6 Touris, Eva 5 Beckermann, Bernhard 5 Branquinho, Amílcar José Pinto Lopes 5 Cruz-Barroso, Ruymán 5 Foulquié Moreno, Ana Pilar 5 Illán González, Jesús 5 Jiménez Paiz, Mateo M. 4 Alfaro, María Pilar 4 Cala Rodriguez, Francisco 4 Denisov, Sergey A. 4 Fidalgo, Ulises 4 González Ricardo, Luis Giraldo 4 Jagels, Carl F. 4 Kalyagin, Valery A. 4 Lubinsky, Doron S. 4 Montaner, Jesús María 4 Rodriguez, Giuseppe 4 Starovoĭtov, Aleksandr Pavlovich 4 Szmigielski, Jacek 4 Wielonsky, Franck 3 Cantero, María José 3 Derevyagin, Maxim S. 3 Díaz-González, Abel 3 Fenu, Caterina 3 García-Ardila, Juan Carlos 3 Golinskii, Leonid Borisovich 3 Komlov, Aleksandr V. 3 Kovacheva, Ralitsa Krumova 3 Pestana, Domingo 3 Rakhmanov, Evgenij Andreevich 3 Stahl, Herbert Robert 3 Tulyakov, Dmitrii N. 3 Urbina Romero, Wilfredo O. 3 Velázquez, Luis 2 Álvarez-Fernández, Carlos 2 Babayan, Nikolay M. 2 Baratchart, Laurent 2 Bello Cruz, Jose Yunier 2 Bentbib, Abdeslem Hafid 2 Bloom, Thomas 2 Borrego-Morell, Jorge A. 2 Castro, Mirta M. 2 Chang, Xiangke 2 Chirka, Evgeniĭ Mikhaĭlovich 2 Coussement, Els 2 Coussement, Jonathan 2 de la Calle Ysern, Bernardo 2 Delvaux, Steven 2 Doliwa, Adam 2 Dudnikova, Tat’yana V. 2 Durán, Antonio José 2 Fidalgo Prieto, Ulises 2 Ginovyan, Mamikon S. 2 Guadalupe Hernández, José Javier (Chicho) 2 Jbilou, Khalide 2 Kalmykov, Sergeĭ Ivanovich 2 Kozhan, Rostyslav V. 2 Kroó, András 2 Kuijlaars, Arno B. J. 2 Kwon, Kil Hyun 2 Lapik, M. A. 2 Lima, Hélder S. 2 Littlejohn, Lance L. 2 López, Abey 2 Loureiro, Ana Filipa 2 Lysov, Vladimir G. 2 Matos, Ana Cristina 2 Mínguez Ceniceros, Judit 2 Moral, Leandro 2 Nagy, Béla 2 Nevai, Paul G. 2 Peherstorfer, Franz 2 Perdomo-Pío, Francisco 2 Pérez Izquierdo, I. ...and 162 more Authors all top 5 Cited in 68 Serials 65 Journal of Approximation Theory 50 Journal of Computational and Applied Mathematics 17 Journal of Mathematical Analysis and Applications 14 Constructive Approximation 12 Numerical Algorithms 11 Advances in Mathematics 9 Linear Algebra and its Applications 9 Proceedings of the Steklov Institute of Mathematics 7 Mathematical Notes 7 Russian Mathematical Surveys 7 Mathematics of Computation 7 Sbornik: Mathematics 6 Rocky Mountain Journal of Mathematics 6 Applied Numerical Mathematics 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Computational Methods and Function Theory 4 Applied Mathematics and Computation 4 Transactions of the American Mathematical Society 4 Acta Applicandae Mathematicae 4 Bulletin of Mathematical Sciences 3 Journal d’Analyse Mathématique 3 Numerische Mathematik 3 Proceedings of the American Mathematical Society 3 Physica D 3 Integral Transforms and Special Functions 3 Thai Journal of Mathematics 3 Mediterranean Journal of Mathematics 3 Analysis and Mathematical Physics 2 Communications in Mathematical Physics 2 Demonstratio Mathematica 2 Studies in Applied Mathematics 2 Advances in Computational Mathematics 2 Lobachevskii Journal of Mathematics 2 GAMM-Mitteilungen 2 Journal of Spectral Theory 1 Acta Mechanica 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Theoretical and Mathematical Physics 1 Acta Mathematica 1 BIT 1 Journal of Functional Analysis 1 Systems & Control Letters 1 Journal of Time Series Analysis 1 Journal of Complexity 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Numerical Linear Algebra with Applications 1 Journal of Difference Equations and Applications 1 Mathematical Physics, Analysis and Geometry 1 Discrete Dynamics in Nature and Society 1 Annals of Mathematics. Second Series 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Foundations of Computational Mathematics 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Journal of Function Spaces and Applications 1 Advances in Difference Equations 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Analysis and Operator Theory 1 Probability Surveys 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Applied Mathematics & Informatics 1 Annales Fennici Mathematici all top 5 Cited in 37 Fields 157 Approximations and expansions (41-XX) 138 Harmonic analysis on Euclidean spaces (42-XX) 121 Functions of a complex variable (30-XX) 83 Special functions (33-XX) 46 Numerical analysis (65-XX) 25 Operator theory (47-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 14 Functional analysis (46-XX) 12 Dynamical systems and ergodic theory (37-XX) 10 Potential theory (31-XX) 9 Ordinary differential equations (34-XX) 8 Real functions (26-XX) 8 Partial differential equations (35-XX) 8 Difference and functional equations (39-XX) 7 Probability theory and stochastic processes (60-XX) 4 Combinatorics (05-XX) 4 Sequences, series, summability (40-XX) 4 Integral transforms, operational calculus (44-XX) 4 Information and communication theory, circuits (94-XX) 3 Number theory (11-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Field theory and polynomials (12-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Citations by Year