Martínez-Finkelshtein, Andrei; Orive, Ramón; Sánchez-Lara, Joaquín Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials. (English) Zbl 07751273 Constr. Approx. 58, No. 2, 271-342 (2023). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C45 33C47 42C05 30C15 31A15 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Constr. Approx. 58, No. 2, 271--342 (2023; Zbl 07751273) Full Text: DOI arXiv OA License
Hunziker, Markus; Martínez-Finkelshtein, Andrei; Poe, Taylor; Simanek, Brian Poncelet-Darboux, Kippenhahn, and Szegő: interactions between projective geometry, matrices and orthogonal polynomials. (English) Zbl 1486.14047 J. Math. Anal. Appl. 511, No. 1, Article ID 126049, 35 p. (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 14H50 14P05 51N35 30J10 42C05 PDFBibTeX XMLCite \textit{M. Hunziker} et al., J. Math. Anal. Appl. 511, No. 1, Article ID 126049, 35 p. (2022; Zbl 1486.14047) Full Text: DOI arXiv
Hunziker, Markus; Martinez-Finkelshtein, Andrei; Poe, Taylor; Simanek, Brian On foci of ellipses inscribed in cyclic polygons. (English) Zbl 1498.30032 Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 213-238 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 30J10 33C47 PDFBibTeX XMLCite \textit{M. Hunziker} et al., Oper. Theory: Adv. Appl. 285, 213--238 (2021; Zbl 1498.30032) Full Text: DOI arXiv
Martínez-Finkelshtein, Andrei; Silva, Guilherme L. F. Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight. (English) Zbl 1417.42027 Adv. Math. 349, 246-315 (2019). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42C05 30C70 30E10 30F30 31A15 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{G. L. F. Silva}, Adv. Math. 349, 246--315 (2019; Zbl 1417.42027) Full Text: DOI arXiv
Bracciali, C. F.; Martínez-Finkelshtein, A.; Ranga, A. Sri; Veronese, D. O. Christoffel formula for kernel polynomials on the unit circle. (English) Zbl 1441.33008 J. Approx. Theory 235, 46-73 (2018). MSC: 33C47 30C10 PDFBibTeX XMLCite \textit{C. F. Bracciali} et al., J. Approx. Theory 235, 46--73 (2018; Zbl 1441.33008) Full Text: DOI arXiv
Martínez-Finkelshtein, Andrei; Rakhmanov, E. A. Do orthogonal polynomials dream of symmetric curves? (English) Zbl 1356.42019 Found. Comput. Math. 16, No. 6, 1697-1736 (2016). MSC: 42C05 26C10 30C25 31A15 41A21 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{E. A. Rakhmanov}, Found. Comput. Math. 16, No. 6, 1697--1736 (2016; Zbl 1356.42019) Full Text: DOI arXiv
Martínez-Finkelshtein, Andrei; Silva, Guilherme L. F. Critical measures for vector energy: global structure of trajectories of quadratic differentials. (English) Zbl 1354.31002 Adv. Math. 302, 1137-1232 (2016). MSC: 31A15 30F10 30F30 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{G. L. F. Silva}, Adv. Math. 302, 1137--1232 (2016; Zbl 1354.31002) Full Text: DOI arXiv
Martínez-Finkelshtein, Andrei; Martínez-González, Pedro; Thabet, Faouzi Trajectories of quadratic differentials for Jacobi polynomials with complex parameters. (English) Zbl 1347.33023 Comput. Methods Funct. Theory 16, No. 3, 347-364 (2016). MSC: 33C45 42C05 30F15 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Comput. Methods Funct. Theory 16, No. 3, 347--364 (2016; Zbl 1347.33023) Full Text: DOI arXiv
Martínez-Finkelshtein, Andrei; Rakhmanov, Evguenii A.; Suetin, Sergey P. Asymptotics of type I Hermite-Padé polynomials for semiclassical functions. (English) Zbl 1355.30038 Hardin, Douglas P. (ed.) et al., Modern trends in constructive function theory. Constructive functions 2014 conference in honor of Ed Saff’s 70th birthday, Vanderbilt University, Nashville, TN, USA, May 26–30, 2014. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2534-0/pbk; 978-1-4704-2934-8/ebook). Contemporary Mathematics 661, 199-228 (2016). Reviewer: Konstantin Malyutin (Sumy) MSC: 30E10 41A20 41A21 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Contemp. Math. 661, 199--228 (2016; Zbl 1355.30038) Full Text: DOI arXiv
Atia, M. J.; Martínez-Finkelshtein, A.; Martínez-González, P.; Thabet, F. Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters. (English) Zbl 1295.30015 J. Math. Anal. Appl. 416, No. 1, 52-80 (2014). MSC: 30C10 33C45 30E15 PDFBibTeX XMLCite \textit{M. J. Atia} et al., J. Math. Anal. Appl. 416, No. 1, 52--80 (2014; Zbl 1295.30015) Full Text: DOI arXiv
Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P. Method of interior variations and existence of \(S\)-compact sets. (English. Russian original) Zbl 1298.30028 Proc. Steklov Inst. Math. 279, 25-51 (2012); translation from Tr. Mat. Inst. Steklova 279, 31-58 (2012). MSC: 30E10 PDFBibTeX XMLCite \textit{V. I. Buslaev} et al., Proc. Steklov Inst. Math. 279, 25--51 (2012; Zbl 1298.30028); translation from Tr. Mat. Inst. Steklova 279, 31--58 (2012) Full Text: DOI
Aptekarev, A. I.; Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P. Padé approximants, continued fractions, and orthogonal polynomials. (English. Russian original) Zbl 1242.41014 Russ. Math. Surv. 66, No. 6, 1049-1131 (2011); translation from Usp. Mat. Nauk 66, No. 6, 37-122 (2011). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A21 30B70 42C05 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Russ. Math. Surv. 66, No. 6, 1049--1131 (2011; Zbl 1242.41014); translation from Usp. Mat. Nauk 66, No. 6, 37--122 (2011) Full Text: DOI
Foulquié Moreno, A.; Martínez-Finkelshtein, A.; Sousa, V. L. Asymptotics of orthogonal polynomials for a weight with a jump on \([-1,1]\). (English) Zbl 1213.42090 Constr. Approx. 33, No. 2, 219-263 (2011). Reviewer: Roelof Koekoek (Delft) MSC: 42C05 30C15 33C15 41A60 46E22 PDFBibTeX XMLCite \textit{A. Foulquié Moreno} et al., Constr. Approx. 33, No. 2, 219--263 (2011; Zbl 1213.42090) Full Text: DOI arXiv
Martínez-Finkelshtein, A.; Rakhmanov, E. A. Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials. (English) Zbl 1226.30005 Commun. Math. Phys. 302, No. 1, 53-111 (2011). Reviewer: Andrei A. Kapaev (Trieste) MSC: 30C15 30F30 31A15 42C05 34M03 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{E. A. Rakhmanov}, Commun. Math. Phys. 302, No. 1, 53--111 (2011; Zbl 1226.30005) Full Text: DOI arXiv
Martínez-Finkelshtein, Andrei; Rakhmanov, Evgenii A. On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials. (English) Zbl 1207.30058 Arvesú, Jorge (ed.) et al., Recent trends in orthogonal polynomials and approximation theory. International workshop in honor of Guillermo López Lagomasino’s 60th birthday, Universidad Carlos III de Madrid, Leganés, Spain. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4803-6/pbk). Contemporary Mathematics 507, 209-232 (2010). Reviewer: Polina Z. Agranovich (Khar’kov) MSC: 30E15 33E30 34L20 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{E. A. Rakhmanov}, Contemp. Math. 507, 209--232 (2010; Zbl 1207.30058) Full Text: arXiv
Marcellán, F.; Martínez-Finkelshtein, A.; Martínez-González, P. Electrostatic models for zeros of polynomials: old, new, and some open problems. (English) Zbl 1131.30002 J. Comput. Appl. Math. 207, No. 2, 258-272 (2007). Reviewer: Patricia J. Y. Wong (Singapore) MSC: 30C15 82B23 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Comput. Appl. Math. 207, No. 2, 258--272 (2007; Zbl 1131.30002) Full Text: DOI arXiv
Driver, K.; Jordaan, K.; Martínez-Finkelshtein, A. Pólya frequency sequences and real zeros of some \(_3F_2\) polynomials. (English) Zbl 1114.33006 J. Math. Anal. Appl. 332, No. 2, 1045-1055 (2007). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C20 26C10 30C15 12D10 PDFBibTeX XMLCite \textit{K. Driver} et al., J. Math. Anal. Appl. 332, No. 2, 1045--1055 (2007; Zbl 1114.33006) Full Text: DOI
Martınez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B. Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle. (English) Zbl 1135.42325 Int. Math. Res. Not. 2006, No. 16, Article ID 91426, 43 p. (2006). MSC: 42C05 30C10 33C10 41A60 47B35 PDFBibTeX XMLCite \textit{A. Martınez-Finkelshtein} et al., Int. Math. Res. Not. 2006, No. 16, Article ID 91426, 43 p. (2006; Zbl 1135.42325) Full Text: DOI arXiv
Martínez-Finkelshtein, A.; Orive, R. Riemann–Hilbert analysis for Jacobi polynomials orthogonal on a single contour. (English) Zbl 1073.30031 J. Approximation Theory 134, No. 2, 137-170 (2005). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 30E15 30E25 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{R. Orive}, J. Approx. Theory 134, No. 2, 137--170 (2005; Zbl 1073.30031) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A. Strong asymptotics for Jacobi polynomials with varying nonstandard parameters. (English) Zbl 1126.33003 J. Anal. Math. 94, 195-234 (2004). Reviewer: Yuliang Shen (Suzhou) MSC: 33C45 30C62 30F99 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{A. Martínez-Finkelshtein}, J. Anal. Math. 94, 195--234 (2004; Zbl 1126.33003) Full Text: DOI arXiv
Martínez-Finkelshtein, Andrei; Martínez-González, Pedro; Orive, Ramón On asymptotic zero distribution of Laguerre and generalized Bessel polynomials with varying parameters. (English) Zbl 0990.33009 J. Comput. Appl. Math. 133, No. 1-2, 477-487 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 33C45 30C15 30E15 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., J. Comput. Appl. Math. 133, No. 1--2, 477--487 (2001; Zbl 0990.33009) Full Text: DOI
Barrios, D.; López, G.; Martínez-Finkelshtein, A.; Torrano, E. Finite-dimensional approximations of the resolvent of an infinite band matrix and continued fractions. (English. Russian original) Zbl 0935.47011 Sb. Math. 190, No. 4, 501-519 (1999); translation from Mat. Sb. 190, No. 4, 23-42 (1999). MSC: 47A55 47A10 40A15 30B70 47B37 PDFBibTeX XMLCite \textit{D. Barrios} et al., Sb. Math. 190, No. 4, 501--519 (1999; Zbl 0935.47011); translation from Mat. Sb. 190, No. 4, 23--42 (1999) Full Text: DOI
Barrios Rolanía, D.; López Lagomasino, G.; Martínez Finkelshtein, A.; Torrano Giménez, E. On the domain of convergence and poles of complex \(J\)-fractions. (English) Zbl 0909.30002 J. Approximation Theory 93, No. 2, 177-200 (1998). Reviewer: M.G.de Bruin (Delft) MSC: 30B60 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} et al., J. Approx. Theory 93, No. 2, 177--200 (1998; Zbl 0909.30002) Full Text: DOI
Martínez Finkelshtein, Andrei Trajectories of quadratic differentials and approximations of exponents on the semiaxis. (English) Zbl 0903.30030 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, 69-84 (1997). Reviewer: A.Bultheel (Leuven) MSC: 30F30 31A15 41A20 41A21 41A28 41A50 PDFBibTeX XMLCite \textit{A. Martínez Finkelshtein}, 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. 69--84 (1997; Zbl 0903.30030)
Martínez Finkelshtein, Andrei (ed.); Marcellán, Francisco (ed.); Moreno-Balcázar, Juan J. (ed.) Complex methods in approximation theory. Proceedings of the workshop, University of Almería, Spain, June 5–8, 1995. (English) Zbl 0892.00034 Monografías Ciencia y Tecnología. 2. Almería: Univ. de Almería, Servicio de Publicaciones, xvi, 171 p. (1997). MSC: 00B25 30-06 41-06 PDFBibTeX XMLCite \textit{A. Martínez Finkelshtein} (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 (1997; Zbl 0892.00034)
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
Martínez Finkelshtein, Andrei On the m-th row of Newton type (\(\alpha\) ,\(\beta\) )-Padé tables and singular points. (English) Zbl 0673.30026 Approximation and optimization, Proc. Int. Semin., Havana/Cuba 1987, Lect. Notes Math. 1354, 178-187 (1988). Reviewer: G.Lopez Lagomasino MSC: 30E10 30B40 41A21 PDFBibTeX XML