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Martínez-Finkelshtein, Andrei

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Author ID: martinez-finkelshtein.andrei Recent zbMATH articles by "Martínez-Finkelshtein, Andrei"
Published as: Finkelshtein, Andrei Martínez; Martines Finkel’shtejn, A.; Martinez-Finkelshtein, A.; Martínez Finkelshtein, A.; Martínez Finkelshtein, Andrei; Martínez-Finkelshtein, A.; Martínez-Finkelshtein, Andrei; Martınez-Finkelshtein, A.
Homepage: https://w3.ual.es/~andrei/index_en.html
External Links: MGP · Math-Net.Ru · ORCID · dblp
Documents Indexed: 99 Publications since 1986, including 3 Books
Reviewing Activity: 193 Reviews
all top 5

Co-Authors

11 single-authored
13 Dehesa, Jesús S.
11 Rakhmanov, Evgenij Andreevich
8 Marcellán Español, Francisco
8 Moreno-Balcázar, Juan José
7 López Lagomasino, Guillermo Tomás
7 Martínez-González, Pedro
7 Suetin, Sergeĭ Pavlovich
6 Aptekarev, Alexander Ivanovich
6 Orive Rodríguez, Ramón Angel
6 Saff, Edward Barry
4 Kuijlaars, Arno B. J.
4 Pijeira-Cabrera, Héctor
4 Ranga, A. Sri
4 Sánchez-Ruiz, Jorge
3 Artés, P. L.
3 Buyarov, V. S.
3 Nevai, Paul G.
3 Silva, Guilherme L. F.
3 Van Assche, Walter
3 Wielonsky, Franck
3 Yáñez, Rafael J.
2 Buslaev, Viktor Ivanovich
2 Foulquié Moreno, Ana Pilar
2 McLaughlin, Kenneth D. T.-R.
2 Ramos-López, Darío
2 Sánchez Lara, Joaquin F.
2 Silva Ribeiro, L. L.
2 Simon, Barry
2 Sorokin, Vladimir N.
2 Sousa Junior, V. L.
2 Thabet, Faouzi
2 Tyaglov, Mikhail
2 Veronese, Daniel O.
1 Alfaro García, Manuel
1 Arvesú, Jorge
1 Atia, Mohamed Jalel
1 Avron, Joseph E.
1 Baratchart, Laurent
1 Barrios Rolanía, D.
1 Barrios, Dolores
1 Beckermann, Bernhard
1 Bello Hernández, Manuel
1 Beltrán, Carlos
1 Bracciali, Cleonice F.
1 Breuer, Jonathan
1 Damanik, David
1 Domínguez de la Iglesia, Manuel
1 Driver, Kathy A.
1 Fernández Martínez, Manuel
1 Geronimo, Jeffrey S.
1 Gesztesy, Fritz
1 Grünbaum, Francisco Alberto
1 Iskander, D. Robert
1 Jimenez, Diego F.
1 Jitomirskaya, Svetlana Ya.
1 Jordaan, Kerstin
1 Kostov, Vladimir Petrov
1 Last, Yoram
1 López-Artés, P.
1 López-Rosa, S.
1 López, Guillermo
1 Lubinsky, Doron S.
1 Maymeskul, V. V.
1 Mhaskar, Hrushikesh N.
1 Peña, Ana
1 Pérez Izquierdo, I.
1 Pérez, Teresa E.
1 Piñar, Miguel A.
1 Pritsker, Igor E.
1 Putinar, Mihai
1 Rezola, María Luisa
1 Rolanía, Dolores Barrios
1 Sánchez Granero, Miguel Ángel
1 Shapiro, Boris Zalmanovich
1 Simanek, Brian Z.
1 Stylianopoulos, Nikos S.
1 Toranzo, Irene V.
1 Torrano Giménez, E.
1 Torrano, Emilio
1 Totik, Vilmos
1 Varjú, Péter Pál
1 Xu, Yuan
1 Zarzo-Altarejos, Alejandro
1 Zarzo, Alejandro

Publications by Year

Citations contained in zbMATH Open

83 Publications have been cited 885 times in 498 Documents Cited by Year
Quantum information entropies and orthogonal polynomials. Zbl 1008.81014
Dehesa, Jesús S.; Martínez-Finkelshtein, Andrei; Sánchez-Ruiz, Jorge
37
2001
Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials. Zbl 1226.30005
Martínez-Finkelshtein, A.; Rakhmanov, E. A.
35
2011
Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights. Zbl 1188.60018
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F.
34
2009
Strong asymptotics for Jacobi polynomials with varying nonstandard parameters. Zbl 1126.33003
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.
33
2004
Orthogonality of Jacobi polynomials with general parameters. Zbl 1075.33005
Kuijlaars, A. B. J.; Martinez-Finkelshtein, A.; Orive, R.
31
2005
Szegő orthogonal polynomials with respect to an analytic weight: Canonical representation and strong asymptotics. Zbl 1135.42326
Martínez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B.
29
2006
On asymptotic zero distribution of Laguerre and generalized Bessel polynomials with varying parameters. Zbl 0990.33009
Martínez-Finkelshtein, Andrei; Martínez-González, Pedro; Orive, Ramón
26
2001
Riemann–Hilbert analysis for Jacobi polynomials orthogonal on a single contour. Zbl 1073.30031
Martínez-Finkelshtein, A.; Orive, R.
25
2005
Bernstein-Szegő’s theorem for Sobolev orthogonal polynomials. Zbl 0951.42014
Martínez-Finkelshtein, A.
24
2000
Electrostatic models for zeros of polynomials: old, new, and some open problems. Zbl 1131.30002
Marcellán, F.; Martínez-Finkelshtein, A.; Martínez-González, P.
22
2007
Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures. Zbl 0898.42006
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A.
22
1998
Analytic aspects of Sobolev orthogonal polynomials revisited. Zbl 0971.33004
Martínez-Finkelshtein, A.
21
2001
Asymptotics for minimal discrete Riesz energy on curves in \(\mathbb{R}^d\). Zbl 1073.31007
Martínez-Finkelshtein, A.; Maymeskul, V.; Rakhmanov, E. A.; Saff, E. B.
20
2004
Zeros of Jacobi polynomials with varying non-classical parameters. Zbl 1221.33019
Martínez-Finkelshtein, A.; Martínez-González, P.; Orive, R.
20
2000
Padé approximants, continued fractions, and orthogonal polynomials. Zbl 1242.41014
Aptekarev, A. I.; Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P.
18
2011
General linearization formulae for products of continuous hypergeometric-type polynomials. Zbl 0945.33006
Sánchez-Ruiz, J.; Artés, P. L.; Martínez-Finkelshtein, A.; Dehesa, J. S.
18
1999
Non-intersecting squared Bessel paths: Critical time and double scaling limit. Zbl 1245.60044
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F.
17
2011
Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle. Zbl 1135.42325
Martınez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B.
17
2006
Linearization and connection coefficients for hypergeometric-type polynomials. Zbl 0927.33005
Artés, P. L.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Sánchez-Ruiz, J.
17
1998
Asymptotics of orthogonal polynomials for a weight with a jump on \([-1,1]\). Zbl 1213.42090
Foulquié Moreno, A.; Martínez-Finkelshtein, A.; Sousa, V. L.
16
2011
Asymptotic properties of Heine–Stieltjes and Van Vleck polynomials. Zbl 1099.33502
Martínez-Finkelshtein, A.; Saff, E. B.
16
2002
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 properties of Sobolev orthogonal polynomials. Zbl 0933.42013
Martínez-Finkelshtein, Andrei
15
1998
Heine, Hilbert, Padé, Riemann, and Stieltjes: John Nuttall’s work 25 years later. Zbl 1318.42033
Martínez-Finkelshtein, Andrei; Rakhmanov, Evgenii A.; Suetin, Sergey P.
14
2012
Variation of the equilibrium energy and the \(S\)-property of stationary compact sets. Zbl 1244.31001
Martínez-Finkelshtein, A.; Rakhmanov, E. A.; Suetin, S. P.
14
2011
Asymptotics of orthogonal polynomial’s entropy. Zbl 1183.94013
Aptekarev, A. I.; Dehesa, J. S.; Martinez-Finkelshtein, A.
14
2010
Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters. Zbl 1295.30015
Atia, M. J.; Martínez-Finkelshtein, A.; Martínez-González, P.; Thabet, F.
13
2014
Computation of the entropy of polynomials orthogonal on an interval. Zbl 1082.33004
Buyarov, V.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Sánchez-Lara, J.
13
2004
On a conjecture of A. Magnus concerning the asymptotic behavior of the recurrence coefficients of the generalized Jacobi polynomials. Zbl 1193.42099
Moreno, A. Foulquié; Martínez-Finkelshtein, A.; Sousa, V. L.
12
2010
Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights. Zbl 0946.33005
Buyarov, V. S.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Saff, E. B.
11
1999
On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials. Zbl 1207.30058
Martínez-Finkelshtein, Andrei; Rakhmanov, Evgenii A.
10
2010
WKB approach to zero distribution of solutions of linear second order differential equations. Zbl 1008.34048
Martínez-Finkelshtein, A.; Martínez-González, P.; Zarzo, A.
10
2002
Information entropy of Gegenbauer polynomials. Zbl 1008.81015
Buyarov, V. S.; López-Artés, P.; Martínez-Finkelshtein, A.; Van Assche, W.
10
2000
Asymptotic properties of balanced extremal Sobolev polynomials: Coherent case. Zbl 0942.42015
Alfaro, M.; Martínez-Finkelshtein, A.; Rezola, M. L.
10
1999
Method of interior variations and existence of \(S\)-compact sets. Zbl 1298.30028
Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P.
9
2012
Asymptotics of polynomial solutions of a class of generalized Lamé differential equations. Zbl 1094.34551
Martinez-Finkelshtein, A.; Martinez-González, P.; Orive, R.
9
2005
Strong asymptotics for Sobolev orthogonal polynomials. Zbl 0937.42011
Martínez Finkelshtein, Andrei; Pijeira Cabrera, Héctor
9
1999
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
Asymptotics of Sobolev orthogonal polynomials for a Jacobi weight. Zbl 0897.33010
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.
9
1997
Quantum expectation values of \(D\)-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics. Zbl 1188.81183
Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R. J.
8
2010
Pólya frequency sequences and real zeros of some \(_3F_2\) polynomials. Zbl 1114.33006
Driver, K.; Jordaan, K.; Martínez-Finkelshtein, A.
8
2007
Finite-dimensional approximations of the resolvent of an infinite band matrix and continued fractions. Zbl 0935.47011
Barrios, D.; López, G.; Martínez-Finkelshtein, A.; Torrano, E.
8
1999
Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support. Zbl 0885.42013
Marcellán, Francisco; Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan
8
1997
Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials. Zbl 0895.33003
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pijeira-Cabrera, Héctor
8
1997
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.
7
2017
Trajectories of quadratic differentials for Jacobi polynomials with complex parameters. Zbl 1347.33023
Martínez-Finkelshtein, Andrei; Martínez-González, Pedro; Thabet, Faouzi
7
2016
Phase transitions and equilibrium measures in random matrix models. Zbl 1317.82012
Martínez-Finkelshtein, A.; Orive, R.; Rakhmanov, E. A.
7
2015
Properties of matrix orthogonal polynomials via their Riemann-Hilbert characterization. Zbl 1242.42020
Grünbaum, F. Alberto; De La Iglesia, Manuel D.; Martínez-Finkelshtein, Andrei
7
2011
Short-wave asymptotics of the information entropy of a circular membrane. Zbl 1051.82512
Dehesa, J. S.; Martínez-Finkelshtein, A.; Sorokin, V. N.
7
2002
Discrete entropies of orthogonal polynomials. Zbl 1177.33018
Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R.
6
2009
Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class. Zbl 1064.42014
Beckermann, B.; Martínez-Finkelshtein, A.; Rakhmanov, E. A.; Wielonsky, F.
6
2004
\(k\)-coherence of measures with non-classical weights. Zbl 1253.42022
Marcellán, Francisco; Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.
6
2001
Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure. Zbl 1378.42014
Martínez-Finkelshtein, A.; Ranga, A. Sri; Veronese, D. O.
5
2018
What is \(\ldots\) a multiple orthogonal polynomial? Zbl 1352.33002
Martínez-Finkelshtein, Andrei; Van Assche, Walter
5
2016
Critical measures for vector energy: global structure of trajectories of quadratic differentials. Zbl 1354.31002
Martínez-Finkelshtein, Andrei; Silva, Guilherme L. F.
5
2016
Asymptotics of type I Hermite-Padé polynomials for semiclassical functions. Zbl 1355.30038
Martínez-Finkelshtein, Andrei; Rakhmanov, Evguenii A.; Suetin, Sergey P.
5
2016
Variation of the equilibrium measure and the \(S\)-property of a stationary compact set. Zbl 1236.31001
Martínez-Finkelshtein, A.; Rakhmanov, E. A.; Suetin, S. P.
5
2011
Equilibrium problems of potential theory in the complex plane. Zbl 1104.31003
Finkelshtein, Andrei Martínez
5
2006
Asymptotics of information entropies of some Toda-like potentials. Zbl 1061.81022
Dehesa, J. S.; Martínez-Finkelshtein, A.; Sorokin, V. N.
5
2003
Asymptotics of the \(L^2\) norm of derivatives of OPUC. Zbl 1220.42019
Martínez-Finkelshtein, Andrei; Simon, Barry
4
2011
Narayana numbers and Schur-Szegő composition. Zbl 1230.05030
Kostov, Vladimir P.; Martínez-Finkelshtein, Andrei; Shapiro, Boris Z.
4
2009
Shannon entropy of symmetric Pollaczek polynomials. Zbl 1111.33003
Martínez-Finkelshtein, A.; Sánchez-Lara, J. F.
4
2007
Szegő polynomials: a view from the Riemann-Hilbert window. Zbl 1107.33008
Martínez-Finkelshtein, A.
4
2006
Poncelet’s theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators. Zbl 07060783
Martínez-Finkelshtein, Andrei; Simanek, Brian; Simon, Barry
3
2019
Do orthogonal polynomials dream of symmetric curves? Zbl 1356.42019
Martínez-Finkelshtein, Andrei; Rakhmanov, E. A.
3
2016
Heisenberg-like uncertainty measures for \(D\)-dimensional hydrogenic systems at large \(D\). Zbl 1344.81113
Toranzo, I. V.; Martínez-Finkelshtein, A.; Dehesa, J. S.
3
2016
Open problems in constructive function theory. Zbl 1107.41011
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.
3
2006
Linearization problems of hypergeometric polynomials in quantum physics. Zbl 1015.33011
Sánchez-Ruiz, J.; Artés, P. L.; Martínez-Finkelshtein, A.; Dehesa, J. S.
3
2000
Complementary Romanovski-Routh polynomials: from orthogonal polynomials on the unit circle to Coulomb wave functions. Zbl 1415.42024
Martínez-Finkelshtein, A.; Silva Ribeiro, L. L.; Ranga, A. Sri; Tyaglov, M.
2
2019
Christoffel formula for kernel polynomials on the unit circle. Zbl 1441.33008
Bracciali, C. F.; Martínez-Finkelshtein, A.; Ranga, A. Sri; Veronese, D. O.
2
2018
From mathematical physics to analysis: a walk in Barry Simon’s mathematical garden. II. Zbl 1352.01037
Gesztesy, Fritz (ed.); Avron, Joseph; Jitomirskaya, Svetlana; Damanik, David; Breuer, Jonathan; Last, Yoram; Martínez-Finkelshtein, Andrei
2
2016
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
A differential equation for Hermite-Padé polynomials. Zbl 1275.41019
Martínez-Finkelshtein, A.; Rakhmanov, E. A.; Suetin, S. P.
2
2013
Analytic properties of nondiagonal Jacobi-Sobolev orthogonal polynomials. Zbl 0943.42014
Moreno-Balcázar, Juan J.; Martínez-Finkelshtein, Andrei
2
1999
Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight. Zbl 1417.42027
Martínez-Finkelshtein, Andrei; Silva, Guilherme L. F.
1
2019
Optimal sampling patterns for Zernike polynomials. Zbl 1410.65023
Ramos-López, D.; Sánchez-Granero, M. A.; Fernández-Martínez, M.; Martínez-Finkelshtein, A.
1
2016
Discrete entropy of generalized Jacobi polynomials. Zbl 1317.33006
Martínez-Finkelshtein, Andrei; Nevai, Paul; Peña, Ana
1
2015
On extensions of a theorem of Baxter. Zbl 1100.42019
Geronimo, J. S.; Martínez-Finkelshtein, A.
1
2006
Zero distributions of solutions of linear second order differential equations. Zbl 0905.34029
Martínez-Finkelshtein, Andrei; Zarzo-Altarejos, Alejandro
1
1997
Asymptotics for Gegenbauer-Sobolev type polynomials. Zbl 0901.33001
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pijeira-Cabrera, Héctor
1
1997
Trajectories of quadratic differentials and approximations of exponents on the semiaxis. Zbl 0903.30030
Martínez Finkelshtein, Andrei
1
1997
Zero asymptotics of Laurent orthogonal polynomials. Zbl 0861.42018
Bello Hernández, Manuel; Martínez Finkelshtein, Andrei
1
1996
Asymptotic properties of some Laurent-type polynomials. Zbl 0864.42011
Martínez Finkelshtein, Andrei
1
1995
Poncelet’s theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators. Zbl 07060783
Martínez-Finkelshtein, Andrei; Simanek, Brian; Simon, Barry
3
2019
Complementary Romanovski-Routh polynomials: from orthogonal polynomials on the unit circle to Coulomb wave functions. Zbl 1415.42024
Martínez-Finkelshtein, A.; Silva Ribeiro, L. L.; Ranga, A. Sri; Tyaglov, M.
2
2019
Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight. Zbl 1417.42027
Martínez-Finkelshtein, Andrei; Silva, Guilherme L. F.
1
2019
Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure. Zbl 1378.42014
Martínez-Finkelshtein, A.; Ranga, A. Sri; Veronese, D. O.
5
2018
Christoffel formula for kernel polynomials on the unit circle. Zbl 1441.33008
Bracciali, C. F.; Martínez-Finkelshtein, A.; Ranga, A. Sri; Veronese, D. O.
2
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.
7
2017
Trajectories of quadratic differentials for Jacobi polynomials with complex parameters. Zbl 1347.33023
Martínez-Finkelshtein, Andrei; Martínez-González, Pedro; Thabet, Faouzi
7
2016
What is \(\ldots\) a multiple orthogonal polynomial? Zbl 1352.33002
Martínez-Finkelshtein, Andrei; Van Assche, Walter
5
2016
Critical measures for vector energy: global structure of trajectories of quadratic differentials. Zbl 1354.31002
Martínez-Finkelshtein, Andrei; Silva, Guilherme L. F.
5
2016
Asymptotics of type I Hermite-Padé polynomials for semiclassical functions. Zbl 1355.30038
Martínez-Finkelshtein, Andrei; Rakhmanov, Evguenii A.; Suetin, Sergey P.
5
2016
Do orthogonal polynomials dream of symmetric curves? Zbl 1356.42019
Martínez-Finkelshtein, Andrei; Rakhmanov, E. A.
3
2016
Heisenberg-like uncertainty measures for \(D\)-dimensional hydrogenic systems at large \(D\). Zbl 1344.81113
Toranzo, I. V.; Martínez-Finkelshtein, A.; Dehesa, J. S.
3
2016
From mathematical physics to analysis: a walk in Barry Simon’s mathematical garden. II. Zbl 1352.01037
Gesztesy, Fritz (ed.); Avron, Joseph; Jitomirskaya, Svetlana; Damanik, David; Breuer, Jonathan; Last, Yoram; Martínez-Finkelshtein, Andrei
2
2016
Optimal sampling patterns for Zernike polynomials. Zbl 1410.65023
Ramos-López, D.; Sánchez-Granero, M. A.; Fernández-Martínez, M.; Martínez-Finkelshtein, A.
1
2016
Phase transitions and equilibrium measures in random matrix models. Zbl 1317.82012
Martínez-Finkelshtein, A.; Orive, R.; Rakhmanov, E. A.
7
2015
Discrete entropy of generalized Jacobi polynomials. Zbl 1317.33006
Martínez-Finkelshtein, Andrei; Nevai, Paul; Peña, Ana
1
2015
Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters. Zbl 1295.30015
Atia, M. J.; Martínez-Finkelshtein, A.; Martínez-González, P.; Thabet, F.
13
2014
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
A differential equation for Hermite-Padé polynomials. Zbl 1275.41019
Martínez-Finkelshtein, A.; Rakhmanov, E. A.; Suetin, S. P.
2
2013
Heine, Hilbert, Padé, Riemann, and Stieltjes: John Nuttall’s work 25 years later. Zbl 1318.42033
Martínez-Finkelshtein, Andrei; Rakhmanov, Evgenii A.; Suetin, Sergey P.
14
2012
Method of interior variations and existence of \(S\)-compact sets. Zbl 1298.30028
Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P.
9
2012
Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials. Zbl 1226.30005
Martínez-Finkelshtein, A.; Rakhmanov, E. A.
35
2011
Padé approximants, continued fractions, and orthogonal polynomials. Zbl 1242.41014
Aptekarev, A. I.; Buslaev, V. I.; Martínez-Finkelshtein, A.; Suetin, S. P.
18
2011
Non-intersecting squared Bessel paths: Critical time and double scaling limit. Zbl 1245.60044
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F.
17
2011
Asymptotics of orthogonal polynomials for a weight with a jump on \([-1,1]\). Zbl 1213.42090
Foulquié Moreno, A.; Martínez-Finkelshtein, A.; Sousa, V. L.
16
2011
Variation of the equilibrium energy and the \(S\)-property of stationary compact sets. Zbl 1244.31001
Martínez-Finkelshtein, A.; Rakhmanov, E. A.; Suetin, S. P.
14
2011
Properties of matrix orthogonal polynomials via their Riemann-Hilbert characterization. Zbl 1242.42020
Grünbaum, F. Alberto; De La Iglesia, Manuel D.; Martínez-Finkelshtein, Andrei
7
2011
Variation of the equilibrium measure and the \(S\)-property of a stationary compact set. Zbl 1236.31001
Martínez-Finkelshtein, A.; Rakhmanov, E. A.; Suetin, S. P.
5
2011
Asymptotics of the \(L^2\) norm of derivatives of OPUC. Zbl 1220.42019
Martínez-Finkelshtein, Andrei; Simon, Barry
4
2011
Asymptotics of orthogonal polynomial’s entropy. Zbl 1183.94013
Aptekarev, A. I.; Dehesa, J. S.; Martinez-Finkelshtein, A.
14
2010
On a conjecture of A. Magnus concerning the asymptotic behavior of the recurrence coefficients of the generalized Jacobi polynomials. Zbl 1193.42099
Moreno, A. Foulquié; Martínez-Finkelshtein, A.; Sousa, V. L.
12
2010
On asymptotic behavior of Heine-Stieltjes and Van Vleck polynomials. Zbl 1207.30058
Martínez-Finkelshtein, Andrei; Rakhmanov, Evgenii A.
10
2010
Quantum expectation values of \(D\)-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics. Zbl 1188.81183
Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R. J.
8
2010
Non-intersecting squared Bessel paths and multiple orthogonal polynomials for modified Bessel weights. Zbl 1188.60018
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.; Wielonsky, F.
34
2009
Discrete entropies of orthogonal polynomials. Zbl 1177.33018
Aptekarev, A. I.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Yáñez, R.
6
2009
Narayana numbers and Schur-Szegő composition. Zbl 1230.05030
Kostov, Vladimir P.; Martínez-Finkelshtein, Andrei; Shapiro, Boris Z.
4
2009
Electrostatic models for zeros of polynomials: old, new, and some open problems. Zbl 1131.30002
Marcellán, F.; Martínez-Finkelshtein, A.; Martínez-González, P.
22
2007
Pólya frequency sequences and real zeros of some \(_3F_2\) polynomials. Zbl 1114.33006
Driver, K.; Jordaan, K.; Martínez-Finkelshtein, A.
8
2007
Shannon entropy of symmetric Pollaczek polynomials. Zbl 1111.33003
Martínez-Finkelshtein, A.; Sánchez-Lara, J. F.
4
2007
Szegő orthogonal polynomials with respect to an analytic weight: Canonical representation and strong asymptotics. Zbl 1135.42326
Martínez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B.
29
2006
Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle. Zbl 1135.42325
Martınez-Finkelshtein, A.; McLaughlin, K. T.-R.; Saff, E. B.
17
2006
Equilibrium problems of potential theory in the complex plane. Zbl 1104.31003
Finkelshtein, Andrei Martínez
5
2006
Szegő polynomials: a view from the Riemann-Hilbert window. Zbl 1107.33008
Martínez-Finkelshtein, A.
4
2006
Open problems in constructive function theory. Zbl 1107.41011
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.
3
2006
On extensions of a theorem of Baxter. Zbl 1100.42019
Geronimo, J. S.; Martínez-Finkelshtein, A.
1
2006
Orthogonality of Jacobi polynomials with general parameters. Zbl 1075.33005
Kuijlaars, A. B. J.; Martinez-Finkelshtein, A.; Orive, R.
31
2005
Riemann–Hilbert analysis for Jacobi polynomials orthogonal on a single contour. Zbl 1073.30031
Martínez-Finkelshtein, A.; Orive, R.
25
2005
Asymptotics of polynomial solutions of a class of generalized Lamé differential equations. Zbl 1094.34551
Martinez-Finkelshtein, A.; Martinez-González, P.; Orive, R.
9
2005
Strong asymptotics for Jacobi polynomials with varying nonstandard parameters. Zbl 1126.33003
Kuijlaars, A. B. J.; Martínez-Finkelshtein, A.
33
2004
Asymptotics for minimal discrete Riesz energy on curves in \(\mathbb{R}^d\). Zbl 1073.31007
Martínez-Finkelshtein, A.; Maymeskul, V.; Rakhmanov, E. A.; Saff, E. B.
20
2004
Computation of the entropy of polynomials orthogonal on an interval. Zbl 1082.33004
Buyarov, V.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Sánchez-Lara, J.
13
2004
Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class. Zbl 1064.42014
Beckermann, B.; Martínez-Finkelshtein, A.; Rakhmanov, E. A.; Wielonsky, F.
6
2004
Asymptotics of information entropies of some Toda-like potentials. Zbl 1061.81022
Dehesa, J. S.; Martínez-Finkelshtein, A.; Sorokin, V. N.
5
2003
Asymptotic properties of Heine–Stieltjes and Van Vleck polynomials. Zbl 1099.33502
Martínez-Finkelshtein, A.; Saff, E. B.
16
2002
WKB approach to zero distribution of solutions of linear second order differential equations. Zbl 1008.34048
Martínez-Finkelshtein, A.; Martínez-González, P.; Zarzo, A.
10
2002
Short-wave asymptotics of the information entropy of a circular membrane. Zbl 1051.82512
Dehesa, J. S.; Martínez-Finkelshtein, A.; Sorokin, V. N.
7
2002
Quantum information entropies and orthogonal polynomials. Zbl 1008.81014
Dehesa, Jesús S.; Martínez-Finkelshtein, Andrei; Sánchez-Ruiz, Jorge
37
2001
On asymptotic zero distribution of Laguerre and generalized Bessel polynomials with varying parameters. Zbl 0990.33009
Martínez-Finkelshtein, Andrei; Martínez-González, Pedro; Orive, Ramón
26
2001
Analytic aspects of Sobolev orthogonal polynomials revisited. Zbl 0971.33004
Martínez-Finkelshtein, A.
21
2001
\(k\)-coherence of measures with non-classical weights. Zbl 1253.42022
Marcellán, Francisco; Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.
6
2001
Bernstein-Szegő’s theorem for Sobolev orthogonal polynomials. Zbl 0951.42014
Martínez-Finkelshtein, A.
24
2000
Zeros of Jacobi polynomials with varying non-classical parameters. Zbl 1221.33019
Martínez-Finkelshtein, A.; Martínez-González, P.; Orive, R.
20
2000
Information entropy of Gegenbauer polynomials. Zbl 1008.81015
Buyarov, V. S.; López-Artés, P.; Martínez-Finkelshtein, A.; Van Assche, W.
10
2000
Linearization problems of hypergeometric polynomials in quantum physics. Zbl 1015.33011
Sánchez-Ruiz, J.; Artés, P. L.; Martínez-Finkelshtein, A.; Dehesa, J. S.
3
2000
General linearization formulae for products of continuous hypergeometric-type polynomials. Zbl 0945.33006
Sánchez-Ruiz, J.; Artés, P. L.; Martínez-Finkelshtein, A.; Dehesa, J. S.
18
1999
Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights. Zbl 0946.33005
Buyarov, V. S.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Saff, E. B.
11
1999
Asymptotic properties of balanced extremal Sobolev polynomials: Coherent case. Zbl 0942.42015
Alfaro, M.; Martínez-Finkelshtein, A.; Rezola, M. L.
10
1999
Strong asymptotics for Sobolev orthogonal polynomials. Zbl 0937.42011
Martínez Finkelshtein, Andrei; Pijeira Cabrera, Héctor
9
1999
Finite-dimensional approximations of the resolvent of an infinite band matrix and continued fractions. Zbl 0935.47011
Barrios, D.; López, G.; Martínez-Finkelshtein, A.; Torrano, E.
8
1999
Analytic properties of nondiagonal Jacobi-Sobolev orthogonal polynomials. Zbl 0943.42014
Moreno-Balcázar, Juan J.; Martínez-Finkelshtein, Andrei
2
1999
Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures. Zbl 0898.42006
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pérez, Teresa E.; Piñar, Miguel A.
22
1998
Linearization and connection coefficients for hypergeometric-type polynomials. Zbl 0927.33005
Artés, P. L.; Dehesa, J. S.; Martínez-Finkelshtein, A.; Sánchez-Ruiz, J.
17
1998
Asymptotic properties of Sobolev orthogonal polynomials. Zbl 0933.42013
Martínez-Finkelshtein, Andrei
15
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
Asymptotics of Sobolev orthogonal polynomials for a Jacobi weight. Zbl 0897.33010
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.
9
1997
Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support. Zbl 0885.42013
Marcellán, Francisco; Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan
8
1997
Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials. Zbl 0895.33003
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pijeira-Cabrera, Héctor
8
1997
Zero distributions of solutions of linear second order differential equations. Zbl 0905.34029
Martínez-Finkelshtein, Andrei; Zarzo-Altarejos, Alejandro
1
1997
Asymptotics for Gegenbauer-Sobolev type polynomials. Zbl 0901.33001
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pijeira-Cabrera, Héctor
1
1997
Trajectories of quadratic differentials and approximations of exponents on the semiaxis. Zbl 0903.30030
Martínez Finkelshtein, Andrei
1
1997
Zero asymptotics of Laurent orthogonal polynomials. Zbl 0861.42018
Bello Hernández, Manuel; Martínez Finkelshtein, Andrei
1
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
Asymptotic properties of some Laurent-type polynomials. Zbl 0864.42011
Martínez Finkelshtein, Andrei
1
1995
all top 5

Cited by 491 Authors

41 Martínez-Finkelshtein, Andrei
35 Marcellán Español, Francisco
29 Dehesa, Jesús S.
21 Moreno-Balcázar, Juan José
20 Kuijlaars, Arno B. J.
20 Orive Rodríguez, Ramón Angel
14 Díaz-Mendoza, Carlos
14 González-Vera, Pablo
13 Saff, Edward Barry
13 Suetin, Sergeĭ Pavlovich
11 Aptekarev, Alexander Ivanovich
11 Pijeira-Cabrera, Héctor
11 Sánchez-Moreno, Pablo
9 Cachafeiro, Alicia
9 López Lagomasino, Guillermo Tomás
9 Piñar, Miguel A.
9 Yáñez, Rafael J.
8 Berriochoa, Elías
8 Bultheel, Adhemar François
8 Sánchez-Ruiz, Jorge
8 Simon, Barry
7 Delvaux, Steven
7 Fejzullahu, Bujar Xh.
7 Lubinsky, Doron S.
7 Rakhmanov, Evgenij Andreevich
7 Ranga, A. Sri
7 Silva, Guilherme L. F.
7 Sorokin, Vladimir N.
7 Toranzo, Irene V.
6 Bracciali, Cleonice F.
6 Buslaev, Viktor Ivanovich
6 Godoy, Eduardo Paciência
6 Hardin, Doug P.
6 Pérez, Teresa E.
6 Sánchez Lara, Joaquin F.
6 Thabet, Faouzi
5 Abd-Elhameed, Waleed Mohamed
5 Álvarez-Nodarse, Renato
5 Area, Iván
5 Castillo, Kenier
5 Charlier, Christophe
5 Deaño, Alfredo
5 Katori, Makoto
5 Martínez-González, Pedro
5 Rodríguez García, José Manuel
5 Román, Pablo Manuel
5 Simanek, Brian Z.
5 Starovoitov, Alexandr P.
5 Wong, Roderick Sue-Chuen
5 Yattselev, Maxim L.
5 Zarzo, Alejandro
5 Zhang, Lun
4 Alfaro García, Manuel
4 Beckermann, Bernhard
4 Borodachov, Sergiy V.
4 Dueñas, Herbert
4 Duits, Maurice
4 Garza, Luis E.
4 Hardy, Adrien
4 Huertas Cejudo, Edmundo José
4 Jordaan, Kerstin
4 Meijer, Henk G.
4 Miña-Díaz, Erwin
4 Njåstad, Olav
4 Pinasco, Juan Pablo
4 Rezola, María Luisa
4 Scarola, Cristian
4 Tulyakov, Dmitrii N.
4 Wielonsky, Franck
4 Zhao, Yuqiu
4 Zhou, Jianrong
4 Zinchenko, Maxim
3 Atia, Mohamed Jalel
3 Barrios Rolanía, D.
3 Bourget, Alain
3 Brauchart, Johann S.
3 Chaggara, Hamza
3 Christiansen, Jacob Stordal
3 Claeys, Tom
3 Costas-Santos, Roberto S.
3 Cruz-Barroso, Ruymán
3 Dai, Dan
3 Denisov, Sergeĭ sergeevich
3 Doha, Eid H.
3 Dragnev, Peter D.
3 Driver, Kathy A.
3 Huybrechs, Daan
3 Jiménez Paiz, Mateo M.
3 Komlov, Aleksandr V.
3 Mañas-Mañas, Juan F.
3 Martínez Alonso, Luis
3 Medina, Elena
3 Nevai, Paul G.
3 Peña, Ana
3 Pérez Izquierdo, I.
3 Petronilho, José C.
3 Qiu, Weiyuan
3 Quintana, Yamilet
3 Rambour, Philippe
3 Shapiro, Boris Zalmanovich
...and 391 more Authors
all top 5

Cited in 116 Serials

71 Journal of Approximation Theory
60 Journal of Computational and Applied Mathematics
28 Journal of Mathematical Analysis and Applications
20 Journal of Mathematical Physics
16 Proceedings of the American Mathematical Society
15 Communications in Mathematical Physics
14 Constructive Approximation
12 Applied Mathematics and Computation
11 Proceedings of the Steklov Institute of Mathematics
9 Advances in Mathematics
8 Journal d’Analyse Mathématique
8 Journal of Statistical Physics
8 Applied Numerical Mathematics
8 Computational Methods and Function Theory
7 Mathematics of Computation
7 Transactions of the American Mathematical Society
7 Integral Transforms and Special Functions
6 Acta Applicandae Mathematicae
6 Sbornik: Mathematics
6 Journal of Mathematical Chemistry
5 Mathematical Notes
5 Russian Mathematical Surveys
5 Linear Algebra and its Applications
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Random Matrices: Theory and Applications
4 Communications on Pure and Applied Mathematics
4 Numerical Algorithms
4 Analysis and Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 Duke Mathematical Journal
3 International Journal of Mathematics and Mathematical Sciences
3 Results in Mathematics
3 Studies in Applied Mathematics
3 Transactions of the Moscow Mathematical Society
3 SIAM Journal on Mathematical Analysis
3 The Ramanujan Journal
3 Advances in Difference Equations
2 Computers & Mathematics with Applications
2 Letters in Mathematical Physics
2 Physica A
2 Theoretical and Mathematical Physics
2 Acta Mathematica
2 Integral Equations and Operator Theory
2 Journal of Functional Analysis
2 Memoirs of the American Mathematical Society
2 Advances in Applied Mathematics
2 Journal of Complexity
2 Pattern Recognition
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Advances in Computational Mathematics
2 Journal of Difference Equations and Applications
2 The Journal of Fourier Analysis and Applications
2 Doklady Mathematics
2 Mathematical Physics, Analysis and Geometry
2 Foundations of Computational Mathematics
2 Journal of Physics A: Mathematical and Theoretical
2 Problemy Fiziki, Matematiki i Tekhniki
2 Annalen der Physik
1 Analysis Mathematica
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Classical and Quantum Gravity
1 Israel Journal of Mathematics
1 Journal of Computational Physics
1 Journal of Fluid Mechanics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Nuclear Physics. B
1 Physics Letters. A
1 Reviews in Mathematical Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Journal of Differential Equations
1 Mathematische Nachrichten
1 Mathematika
1 Numerische Mathematik
1 SIAM Journal on Numerical Analysis
1 Physica D
1 Probability Theory and Related Fields
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Mathematical and Computer Modelling
1 European Journal of Applied Mathematics
1 Communications in Statistics. Theory and Methods
1 Bulletin of the American Mathematical Society. New Series
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Russian Mathematics
1 Journal of Algebraic Combinatorics
1 Potential Analysis
1 SIAM Journal on Scientific Computing
1 Bulletin des Sciences Mathématiques
1 Open Systems & Information Dynamics
1 Positivity
1 Journal of Inequalities and Applications
1 Discrete Dynamics in Nature and Society
1 Annals of Mathematics. Second Series
...and 16 more Serials
all top 5

Cited in 45 Fields

251 Special functions (33-XX)
166 Harmonic analysis on Euclidean spaces (42-XX)
106 Functions of a complex variable (30-XX)
80 Approximations and expansions (41-XX)
53 Probability theory and stochastic processes (60-XX)
43 Potential theory (31-XX)
42 Linear and multilinear algebra; matrix theory (15-XX)
41 Information and communication theory, circuits (94-XX)
40 Ordinary differential equations (34-XX)
33 Quantum theory (81-XX)
29 Numerical analysis (65-XX)
26 Statistical mechanics, structure of matter (82-XX)
25 Operator theory (47-XX)
23 Real functions (26-XX)
19 Partial differential equations (35-XX)
13 Functional analysis (46-XX)
11 Measure and integration (28-XX)
10 Statistics (62-XX)
9 Combinatorics (05-XX)
9 Dynamical systems and ergodic theory (37-XX)
8 Difference and functional equations (39-XX)
8 Integral transforms, operational calculus (44-XX)
8 Convex and discrete geometry (52-XX)
8 Optics, electromagnetic theory (78-XX)
7 Number theory (11-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Fluid mechanics (76-XX)
5 Field theory and polynomials (12-XX)
5 Sequences, series, summability (40-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Computer science (68-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Biology and other natural sciences (92-XX)
1 Mathematical logic and foundations (03-XX)
1 Algebraic geometry (14-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Mathematics education (97-XX)

Citations by Year