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
Martinez-Finkelshtein, Andrei; Morales, Rafael Interlacing and monotonicity of zeros of Angelesco-Jacobi polynomials. arXiv:2310.06688 Preprint, arXiv:2310.06688 [math.CA] (2023). MSC: 42C05 33C45 BibTeX Cite \textit{A. Martinez-Finkelshtein} and \textit{R. Morales}, ``Interlacing and monotonicity of zeros of Angelesco-Jacobi polynomials'', Preprint, arXiv:2310.06688 [math.CA] (2023) Full Text: arXiv OA License
Martinez-Finkelshtein, Andrei; Morales, Rafael; Perales, Daniel Real roots of hypergeometric polynomials via finite free convolution. arXiv:2309.10970 Preprint, arXiv:2309.10970 [math.CA] (2023). MSC: 33C20 33C45 42C05 46L54 BibTeX Cite \textit{A. Martinez-Finkelshtein} et al., ``Real roots of hypergeometric polynomials via finite free convolution'', Preprint, arXiv:2309.10970 [math.CA] (2023) Full Text: 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, A.; Silva Ribeiro, L. L.; Sri Ranga, A.; Tyaglov, M. Complementary Romanovski-Routh polynomials, orthogonal polynomials on the unit circle, and extended Coulomb wave functions. (English) Zbl 1431.42047 Result. Math. 75, No. 1, Paper No. 42, 23 p. (2020). MSC: 42C05 33C47 33C45 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Result. Math. 75, No. 1, Paper No. 42, 23 p. (2020; Zbl 1431.42047) Full Text: DOI
Martínez-Finkelshtein, Andrei; Simanek, Brian; Simon, Barry Poncelet’s theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators. (English) Zbl 1497.47012 Adv. Math. 349, 992-1035 (2019). MSC: 47A12 42C05 34L05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Adv. Math. 349, 992--1035 (2019; Zbl 1497.47012) Full Text: DOI arXiv Link
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
Martínez-Finkelshtein, A.; Silva Ribeiro, L. L.; Ranga, A. Sri; Tyaglov, M. Complementary Romanovski-Routh polynomials: from orthogonal polynomials on the unit circle to Coulomb wave functions. (English) Zbl 1415.42024 Proc. Am. Math. Soc. 147, No. 6, 2625-2640 (2019). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 33C45 33C47 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Proc. Am. Math. Soc. 147, No. 6, 2625--2640 (2019; Zbl 1415.42024) 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, A.; Ranga, A. Sri; Veronese, D. O. Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure. (English) Zbl 1378.42014 Math. Comput. 87, No. 309, 261-288 (2018). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 33C47 65D20 33C45 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Math. Comput. 87, No. 309, 261--288 (2018; Zbl 1378.42014) 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; Van Assche, Walter What is \(\ldots\) a multiple orthogonal polynomial? (English) Zbl 1352.33002 Notices Am. Math. Soc. 63, No. 9, 1029-1031 (2016). MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{W. Van Assche}, Notices Am. Math. Soc. 63, No. 9, 1029--1031 (2016; Zbl 1352.33002) 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
Martínez-Finkelshtein, Andrei; Nevai, Paul; Peña, Ana Discrete entropy of generalized Jacobi polynomials. (English) Zbl 1317.33006 J. Math. Anal. Appl. 431, No. 1, 99-110 (2015). MSC: 33C45 94A17 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., J. Math. Anal. Appl. 431, No. 1, 99--110 (2015; Zbl 1317.33006) Full Text: DOI arXiv
Martínez-Finkelshtein, A.; Orive, R.; Rakhmanov, E. A. Phase transitions and equilibrium measures in random matrix models. (English) Zbl 1317.82012 Commun. Math. Phys. 333, No. 3, 1109-1173 (2015). Reviewer: Julien Poisat (Paris) MSC: 82B26 60B20 15B52 33C45 31A15 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Commun. Math. Phys. 333, No. 3, 1109--1173 (2015; Zbl 1317.82012) 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
Martínez-Finkelshtein, Andrei; Rakhmanov, Evgenii A.; Suetin, Sergey P. Heine, Hilbert, Padé, Riemann, and Stieltjes: John Nuttall’s work 25 years later. (English) Zbl 1318.42033 Arvesú, Jorge (ed.) et al., 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) (ISBN 978-0-8218-6896-6/pbk). Contemporary Mathematics 578, 165-193 (2012). MSC: 42C05 41A20 41A21 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Contemp. Math. 578, 165--193 (2012; Zbl 1318.42033) Full Text: DOI arXiv
Grünbaum, F. Alberto; De La Iglesia, Manuel D.; Martínez-Finkelshtein, Andrei Properties of matrix orthogonal polynomials via their Riemann-Hilbert characterization. (English) Zbl 1242.42020 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 098, 31 p. (2011). MSC: 42C05 35Q15 PDFBibTeX XMLCite \textit{F. A. Grünbaum} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 098, 31 p. (2011; Zbl 1242.42020) Full Text: DOI arXiv
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
Martínez-Finkelshtein, A.; Rakhmanov, E. A.; Suetin, S. P. Variation of the equilibrium energy and the \(S\)-property of stationary compact sets. (English. Russian original) Zbl 1244.31001 Sb. Math. 202, No. 12, 1831-1852 (2011); translation from Mat. Sb. 202, No. 12, 113-136 (2011). Reviewer: Zywomir Dinew (Kraków) MSC: 31A15 41A20 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Sb. Math. 202, No. 12, 1831--1852 (2011; Zbl 1244.31001); translation from Mat. Sb. 202, No. 12, 113--136 (2011) Full Text: DOI
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F. Non-intersecting squared Bessel paths: Critical time and double scaling limit. (English) Zbl 1245.60044 Commun. Math. Phys. 308, No. 1, 227-279 (2011). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60G17 60B20 60G55 42C05 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., Commun. Math. Phys. 308, No. 1, 227--279 (2011; Zbl 1245.60044) 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, 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
Rolanía, Dolores Barrios (ed.); Marcellán, Francisco (ed.); Martínez-Finkelshtein, Andrei (ed.) Special issue: Selected papers based on the presentations at the international workshop on orthogonal polynomials and approximation theory, IWOPA’08, Madrid, Spain, September 8–12, 2008, dedicated to the 60th anniversary of Guillermo López Lagomasino. (English) Zbl 1230.33002 J. Approx. Theory 163, No. 1, 97 p. (2011). MSC: 33-06 33C47 65D15 00B25 PDFBibTeX XML
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.; Martínez-Finkelshtein, A.; Yáñez, R. J. Quantum expectation values of \(D\)-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics. (English) Zbl 1188.81183 J. Phys. A, Math. Theor. 43, No. 14, Article ID 145204 (2010). MSC: 81V45 81Q35 33C45 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., J. Phys. A, Math. Theor. 43, No. 14, Article ID 145204 (2010; Zbl 1188.81183) Full Text: DOI
Arvesú, Jorge (ed.); Marcellán, Francisco (ed.); Martínez-Finkelshtein, Andrei (ed.) 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. (English) Zbl 1182.33001 Contemporary Mathematics 507. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4803-6/pbk). x, 298 p. (2010). MSC: 33-06 33C47 PDFBibTeX XMLCite \textit{J. Arvesú} (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) (2010; Zbl 1182.33001) Full Text: DOI
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
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F. Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights. (English) Zbl 1188.60018 Commun. Math. Phys. 286, No. 1, 217-275 (2009). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60G17 60G99 42C05 60J35 82B41 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., Commun. Math. Phys. 286, No. 1, 217--275 (2009; Zbl 1188.60018) Full Text: DOI arXiv
Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R. Discrete entropies of orthogonal polynomials. (English) Zbl 1177.33018 Constr. Approx. 30, No. 1, 93-119 (2009). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 41A58 42C05 94A17 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., Constr. Approx. 30, No. 1, 93--119 (2009; Zbl 1177.33018) 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
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
Martínez-Finkelshtein, A.; Sánchez-Lara, J. F. Shannon entropy of symmetric Pollaczek polynomials. (English) Zbl 1111.33003 J. Approximation Theory 145, No. 1, 55-80 (2007). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{J. F. Sánchez-Lara}, J. Approx. Theory 145, No. 1, 55--80 (2007; Zbl 1111.33003) Full Text: DOI arXiv
Baratchart, L.; Martínez-Finkelshtein, A.; Jimenez, D.; Lubinsky, D. S.; Mhaskar, H. N.; Pritsker, I.; Putinar, M.; Stylianopoulos, N.; Totik, V.; Varju, P.; Xu, Y. Open problems in constructive function theory. (English) Zbl 1107.41011 ETNA, Electron. Trans. Numer. Anal. 25, 511-525 (2006). MSC: 41A17 41A21 41A55 41A99 42C15 PDFBibTeX XMLCite \textit{L. Baratchart} et al., ETNA, Electron. Trans. Numer. Anal. 25, 511--525 (2006; Zbl 1107.41011) Full Text: EuDML Link
Martínez-Finkelshtein, A. Szegő polynomials: a view from the Riemann-Hilbert window. (English) Zbl 1107.33008 ETNA, Electron. Trans. Numer. Anal. 25, 369-392 (2006). MSC: 33C45 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein}, ETNA, Electron. Trans. Numer. Anal. 25, 369--392 (2006; Zbl 1107.33008) Full Text: arXiv EuDML Link
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.; McLaughlin, K. T.-R.; Saff, E. B. Szegő orthogonal polynomials with respect to an analytic weight: Canonical representation and strong asymptotics. (English) Zbl 1135.42326 Constructive Approximation 24, No. 3, 319-363 (2006). MSC: 42C05 41A35 41A60 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Constr. Approx. 24, No. 3, 319--363 (2006; Zbl 1135.42326) Full Text: DOI arXiv
Geronimo, J. S.; Martínez-Finkelshtein, A. On extensions of a theorem of Baxter. (English) Zbl 1100.42019 J. Approximation Theory 139, No. 1-2, 214-222 (2006). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{A. Martínez-Finkelshtein}, J. Approx. Theory 139, No. 1--2, 214--222 (2006; Zbl 1100.42019) 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
Kuijlaars, A. B. J.; Martinez-Finkelshtein, A.; Orive, R. Orthogonality of Jacobi polynomials with general parameters. (English) Zbl 1075.33005 ETNA, Electron. Trans. Numer. Anal. 19, 1-17 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 33F05 33C90 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., ETNA, Electron. Trans. Numer. Anal. 19, 1--17 (2005; Zbl 1075.33005) Full Text: arXiv EuDML EMIS
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
Beckermann, B.; Martínez-Finkelshtein, A.; Rakhmanov, E. A.; Wielonsky, F. Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class. (English) Zbl 1064.42014 J. Math. Phys. 45, No. 11, 4239-4254 (2004). MSC: 42C05 47B36 47N50 82C10 PDFBibTeX XMLCite \textit{B. Beckermann} et al., J. Math. Phys. 45, No. 11, 4239--4254 (2004; Zbl 1064.42014) Full Text: DOI arXiv
Buyarov, V.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Sánchez-Lara, J. Computation of the entropy of polynomials orthogonal on an interval. (English) Zbl 1082.33004 SIAM J. Sci. Comput. 26, No. 2, 488-509 (2004). Reviewer: Jesus Illán González (Vigo) MSC: 33C45 33C55 33C90 33F05 42C05 65D20 65D30 81Q99 PDFBibTeX XMLCite \textit{V. Buyarov} et al., SIAM J. Sci. Comput. 26, No. 2, 488--509 (2004; Zbl 1082.33004) Full Text: DOI arXiv
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
Marcellán, Francisco; Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J. \(k\)-coherence of measures with non-classical weights. (Spanish. English summary) Zbl 1253.42022 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). 77-83 (2001). MSC: 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} et al., in: Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández. Logroño: Universidad de la Rioja, Servicio de Publicaciones. 77--83 (2001; Zbl 1253.42022) Full Text: EMIS
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
Dehesa, Jesús S.; Martínez-Finkelshtein, Andrei; Sánchez-Ruiz, Jorge Quantum information entropies and orthogonal polynomials. (English) Zbl 1008.81014 J. Comput. Appl. Math. 133, No. 1-2, 23-46 (2001). MSC: 81P99 94A17 81Q10 33C45 42C05 PDFBibTeX XMLCite \textit{J. S. Dehesa} et al., J. Comput. Appl. Math. 133, No. 1--2, 23--46 (2001; Zbl 1008.81014) Full Text: DOI
Martínez-Finkelshtein, A. Analytic aspects of Sobolev orthogonal polynomials revisited. (English) Zbl 0971.33004 J. Comput. Appl. Math. 127, No. 1-2, 255-266 (2001). Reviewer: Laszlo Leindler (Szeged) MSC: 33C45 33-02 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein}, J. Comput. Appl. Math. 127, No. 1--2, 255--266 (2001; Zbl 0971.33004) Full Text: DOI
Sánchez-Ruiz, J.; Artés, P. L.; Martínez-Finkelshtein, A.; Dehesa, J. S. Linearization problems of hypergeometric polynomials in quantum physics. (English) Zbl 1015.33011 Cocolicchio, Decio (ed.) et al., Advanced special functions and applications. Proceedings of the workshop, Melfi, Italy, May 9-12, 1999. Rome: Aracne Editrice. Proc. Melfi Sch. Adv. Top. Math. Phys. 1, 103-125 (2000). Reviewer: P.R.Parthasarathy (Chennai / Madras) MSC: 33C90 33C05 33C45 PDFBibTeX XMLCite \textit{J. Sánchez-Ruiz} et al., Proc. Melfi Sch. Adv. Top. Math. Phys. 1, 103--125 (2000; Zbl 1015.33011)
Martínez-Finkelshtein, A.; Martínez-González, P.; Orive, R. Zeros of Jacobi polynomials with varying non-classical parameters. (English) Zbl 1221.33019 Dunkl, Charles (ed.) et al., Special functions. Proceedings of the international workshop on special functions – asymptotics, harmonic analysis and mathematical physics, Hong Kong, China, June 21–25, 1999. Singapore: World Scientific (ISBN 981-02-4393-6/hbk). 98-113 (2000). MSC: 33C45 34C10 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., in: Special functions. Proceedings of the international workshop on special functions -- asymptotics, harmonic analysis and mathematical physics, Hong Kong, China, June 21--25, 1999. Singapore: World Scientific. 98--113 (2000; Zbl 1221.33019) Full Text: DOI
Buyarov, V. S.; López-Artés, P.; Martínez-Finkelshtein, A.; Van Assche, W. Information entropy of Gegenbauer polynomials. (English) Zbl 1008.81015 J. Phys. A, Math. Gen. 33, No. 37, 6549-6560 (2000). MSC: 81P99 94A17 33C45 PDFBibTeX XMLCite \textit{V. S. Buyarov} et al., J. Phys. A, Math. Gen. 33, No. 37, 6549--6560 (2000; Zbl 1008.81015) Full Text: DOI Link
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
Sánchez-Ruiz, J.; Artés, P. L.; Martínez-Finkelshtein, A.; Dehesa, J. S. General linearization formulae for products of continuous hypergeometric-type polynomials. (English) Zbl 0945.33006 J. Phys. A, Math. Gen. 32, No. 42, 7345-7366 (1999). Reviewer: Alex Lukashov (Saratov) MSC: 33C45 PDFBibTeX XMLCite \textit{J. Sánchez-Ruiz} et al., J. Phys. A, Math. Gen. 32, No. 42, 7345--7366 (1999; Zbl 0945.33006) Full Text: DOI Link
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
Martínez-Finkelshtein, Andrei Asymptotic properties of Sobolev orthogonal polynomials. (English) Zbl 0933.42013 J. Comput. Appl. Math. 99, No. 1-2, 491-510 (1998). Reviewer: Arun Kumar Agarwal (Grambling) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein}, J. Comput. Appl. Math. 99, No. 1--2, 491--510 (1998; Zbl 0933.42013) Full Text: DOI
Artés, P. L.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Sánchez-Ruiz, J. Linearization and connection coefficients for hypergeometric-type polynomials. (English) Zbl 0927.33005 J. Comput. Appl. Math. 99, No. 1-2, 15-26 (1998). Reviewer: H.-J.Glaeske (Jena) MSC: 33C45 26C05 PDFBibTeX XMLCite \textit{P. L. Artés} et al., J. Comput. Appl. Math. 99, No. 1--2, 15--26 (1998; Zbl 0927.33005) Full Text: DOI
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A. Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures. (English) Zbl 0898.42006 J. Approximation Theory 92, No. 2, 280-293 (1998). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., J. Approx. Theory 92, No. 2, 280--293 (1998; Zbl 0898.42006) Full Text: DOI
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pijeira-Cabrera, Héctor Asymptotics for Gegenbauer-Sobolev type polynomials. (English) Zbl 0901.33001 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, 85-91 (1997). Reviewer: J.Müller (Trier) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., 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. 85--91 (1997; Zbl 0901.33001)
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J. Asymptotics of Sobolev orthogonal polynomials for a Jacobi weight. (English) Zbl 0897.33010 Methods Appl. Anal. 4, No. 4, 430-437 (1997). Reviewer: W.Van Assche (Heverlee) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} and \textit{J. J. Moreno-Balcázar}, Methods Appl. Anal. 4, No. 4, 430--437 (1997; Zbl 0897.33010) Full Text: DOI
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
Bello Hernández, Manuel; Martínez Finkelshtein, Andrei Zero asymptotics of Laurent orthogonal polynomials. (English) Zbl 0861.42018 J. Approximation Theory 85, No. 3, 324-342 (1996). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 PDFBibTeX XMLCite \textit{M. Bello Hernández} and \textit{A. Martínez Finkelshtein}, J. Approx. Theory 85, No. 3, 324--342 (1996; Zbl 0861.42018) 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)
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