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
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
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; 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
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
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
Martínez-Finkelshtein, Andrei; Simon, Barry Asymptotics of the \(L^2\) norm of derivatives of OPUC. (English) Zbl 1220.42019 J. Approx. Theory 163, No. 6, 747-778 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 42C10 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{B. Simon}, J. Approx. Theory 163, No. 6, 747--778 (2011; Zbl 1220.42019) Full Text: DOI arXiv
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, 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
Moreno, A. Foulquié; Martínez-Finkelshtein, A.; Sousa, V. L. On a conjecture of A. Magnus concerning the asymptotic behavior of the recurrence coefficients of the generalized Jacobi polynomials. (English) Zbl 1193.42099 J. Approx. Theory 162, No. 4, 807-831 (2010). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 35Q15 PDFBibTeX XMLCite \textit{A. F. Moreno} et al., J. Approx. Theory 162, No. 4, 807--831 (2010; Zbl 1193.42099) Full Text: DOI arXiv
Aptekarev, A. I.; Dehesa, J. S.; Martinez-Finkelshtein, A. Asymptotics of orthogonal polynomial’s entropy. (English) Zbl 1183.94013 J. Comput. Appl. Math. 233, No. 6, 1355-1365 (2010). Reviewer: Pushpa N. Rathie (Brasilia) MSC: 94A17 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., J. Comput. Appl. Math. 233, No. 6, 1355--1365 (2010; Zbl 1183.94013) Full Text: DOI
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
Martinez-Finkelshtein, A.; Martinez-González, P.; Orive, R. Asymptotics of polynomial solutions of a class of generalized Lamé differential equations. (English) Zbl 1094.34551 ETNA, Electron. Trans. Numer. Anal. 19, 18-28 (2005). Reviewer: S. D. Bajpai (Indore) MSC: 34M30 33C45 PDFBibTeX XMLCite \textit{A. Martinez-Finkelshtein} et al., ETNA, Electron. Trans. Numer. Anal. 19, 18--28 (2005; Zbl 1094.34551) Full Text: EuDML EMIS
Dehesa, J. S.; Martínez-Finkelshtein, A.; Sorokin, V. N. Short-wave asymptotics of the information entropy of a circular membrane. (English) Zbl 1051.82512 Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 11, 2387-2392 (2002). MSC: 82C05 33C10 94A17 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, No. 11, 2387--2392 (2002; Zbl 1051.82512) Full Text: DOI
Martínez-Finkelshtein, A.; Saff, E. B. Asymptotic properties of Heine–Stieltjes and Van Vleck polynomials. (English) Zbl 1099.33502 J. Approximation Theory 118, No. 1, 131-151 (2002). MSC: 33C45 34B30 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{E. B. Saff}, J. Approx. Theory 118, No. 1, 131--151 (2002; Zbl 1099.33502) Full Text: DOI
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
Martínez-Finkelshtein, A. Bernstein-Szegő’s theorem for Sobolev orthogonal polynomials. (English) Zbl 0951.42014 Constructive Approximation 16, No. 1, 73-84 (2000). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein}, Constr. Approx. 16, No. 1, 73--84 (2000; Zbl 0951.42014) Full Text: DOI
Martínez Finkelshtein, Andrei; Pijeira Cabrera, Héctor Strong asymptotics for Sobolev orthogonal polynomials. (English) Zbl 0937.42011 J. Anal. Math. 78, 143-156 (1999). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Martínez Finkelshtein} and \textit{H. Pijeira Cabrera}, J. Anal. Math. 78, 143--156 (1999; Zbl 0937.42011) 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
Moreno-Balcázar, Juan J.; Martínez-Finkelshtein, Andrei Analytic properties of nondiagonal Jacobi-Sobolev orthogonal polynomials. (English) Zbl 0943.42014 J. Comput. Appl. Math. 105, No. 1-2, 393-401 (1999). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{J. J. Moreno-Balcázar} and \textit{A. Martínez-Finkelshtein}, J. Comput. Appl. Math. 105, No. 1--2, 393--401 (1999; Zbl 0943.42014) Full Text: DOI
Buyarov, V. S.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Saff, E. B. Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights. (English) Zbl 0946.33005 J. Approximation Theory 99, No. 1, 153-166 (1999). Reviewer: Peter A.McCoy (Annapolis) MSC: 33C45 PDFBibTeX XMLCite \textit{V. S. Buyarov} et al., J. Approx. Theory 99, No. 1, 153--166 (1999; Zbl 0946.33005) Full Text: DOI Link
Marcellán, Francisco; Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support. (English) Zbl 0885.42013 J. Comput. Appl. Math. 81, No. 2, 217-227 (1997). Reviewer: Roelof Koekoek (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Comput. Appl. Math. 81, No. 2, 217--227 (1997; Zbl 0885.42013) Full Text: DOI
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pijeira-Cabrera, Héctor Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials. (English) Zbl 0895.33003 J. Comput. Appl. Math. 81, No. 2, 211-216 (1997). Reviewer: Roelof Koekoek (Delft) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., J. Comput. Appl. Math. 81, No. 2, 211--216 (1997; Zbl 0895.33003) Full Text: DOI
Martínez Finkelshtein, Andrei Asymptotic properties of some Laurent-type polynomials. (English) Zbl 0864.42011 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, 516-526 (1995). MSC: 42C05 42C10 33C55 PDFBibTeX XMLCite \textit{A. Martínez Finkelshtein}, 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. 516--526 (1995; Zbl 0864.42011)