Miña-Díaz, Erwin Orthogonal polynomials in weighted Bergman spaces. (English) Zbl 07761705 J. Approx. Theory 296, Article ID 105972, 22 p. (2023). MSC: 41-XX 42-XX PDFBibTeX XMLCite \textit{E. Miña-Díaz}, J. Approx. Theory 296, Article ID 105972, 22 p. (2023; Zbl 07761705) Full Text: DOI arXiv
Lasserre, Jean B. A modified Christoffel function and its asymptotic properties. (English) Zbl 07747921 J. Approx. Theory 295, Article ID 105955, 16 p. (2023). MSC: 41-XX 42-XX PDFBibTeX XMLCite \textit{J. B. Lasserre}, J. Approx. Theory 295, Article ID 105955, 16 p. (2023; Zbl 07747921) Full Text: DOI arXiv
Kaczmarek, Radosław; Kałamajska, Agnieszka Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights. (English) Zbl 1528.46031 J. Approx. Theory 291, Article ID 105896, 18 p. (2023). MSC: 46E35 46B70 PDFBibTeX XMLCite \textit{R. Kaczmarek} and \textit{A. Kałamajska}, J. Approx. Theory 291, Article ID 105896, 18 p. (2023; Zbl 1528.46031) Full Text: DOI arXiv
Kuijlaars, Arno B. J. Extremal polynomials on the \(n\)-grid. (English) Zbl 1510.41003 J. Approx. Theory 288, Article ID 105875, 15 p. (2023). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A20 65D05 65D15 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars}, J. Approx. Theory 288, Article ID 105875, 15 p. (2023; Zbl 1510.41003) Full Text: DOI arXiv
Levin, Eli; Lubinsky, D. S. Asymptotics for orthogonal polynomials and separation of their zeros. (English) Zbl 1517.42025 J. Approx. Theory 281-282, Article ID 105804, 11 p. (2022). MSC: 42C05 PDFBibTeX XMLCite \textit{E. Levin} and \textit{D. S. Lubinsky}, J. Approx. Theory 281--282, Article ID 105804, 11 p. (2022; Zbl 1517.42025) Full Text: DOI
Yattselev, Maxim L. On \(L_{\mathbb{R}}^2\)-best rational approximants to Markov functions on several intervals. (English) Zbl 1505.41003 J. Approx. Theory 278, Article ID 105738, 24 p. (2022). Reviewer: Adhemar Bultheel (Leuven) MSC: 41A21 30E10 PDFBibTeX XMLCite \textit{M. L. Yattselev}, J. Approx. Theory 278, Article ID 105738, 24 p. (2022; Zbl 1505.41003) Full Text: DOI arXiv
Nemes, Gergő On the Borel summability of WKB solutions of certain Schrödinger-type differential equations. (English) Zbl 1472.34158 J. Approx. Theory 265, Article ID 105562, 30 p. (2021). Reviewer: Shun Shimomura (Yokohama) MSC: 34M30 34M25 34M03 PDFBibTeX XMLCite \textit{G. Nemes}, J. Approx. Theory 265, Article ID 105562, 30 p. (2021; Zbl 1472.34158) Full Text: DOI arXiv
Celsus, Andrew F.; Silva, Guilherme L. F. Supercritical regime for the kissing polynomials. (English) Zbl 1440.42119 J. Approx. Theory 255, Article ID 105408, 41 p. (2020); corrigendum ibid. 257, Article ID 105453, 2 p. (2020). MSC: 42C05 30C10 PDFBibTeX XMLCite \textit{A. F. Celsus} and \textit{G. L. F. Silva}, J. Approx. Theory 255, Article ID 105408, 41 p. (2020; Zbl 1440.42119) Full Text: DOI arXiv
Levin, Eli; Lubinsky, Doron S. Local limits for orthogonal polynomials for varying measures via universality. (English) Zbl 1442.42063 J. Approx. Theory 254, Article ID 105394, 20 p. (2020). Reviewer: Pablo Alejandro Rocha (Buenos Aires) MSC: 42C05 41A60 PDFBibTeX XMLCite \textit{E. Levin} and \textit{D. S. Lubinsky}, J. Approx. Theory 254, Article ID 105394, 20 p. (2020; Zbl 1442.42063) Full Text: DOI
López-García, Abey; López Lagomasino, Guillermo Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. II. (English) Zbl 1440.42121 J. Approx. Theory 250, Article ID 105320, 28 p. (2020). MSC: 42C05 30E10 47B39 PDFBibTeX XMLCite \textit{A. López-García} and \textit{G. López Lagomasino}, J. Approx. Theory 250, Article ID 105320, 28 p. (2020; Zbl 1440.42121) Full Text: DOI arXiv
Cao, Li-Hua; Li, Yu-Tian; Lin, Yu Asymptotic approximations of the continuous Hahn polynomials and their zeros. (English) Zbl 1428.41038 J. Approx. Theory 247, 32-47 (2019). Reviewer: Francisco Marcellán (Leganes) MSC: 41A60 42C05 PDFBibTeX XMLCite \textit{L.-H. Cao} et al., J. Approx. Theory 247, 32--47 (2019; Zbl 1428.41038) Full Text: DOI arXiv
Littlejohn, Lance L.; Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J.; Wellman, Richard Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics. (English) Zbl 1404.33011 J. Approx. Theory 230, 32-49 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{L. L. Littlejohn} et al., J. Approx. Theory 230, 32--49 (2018; Zbl 1404.33011) Full Text: DOI arXiv
Yattselev, Maxim L. Symmetric contours and convergent interpolation. (English) Zbl 1383.42025 J. Approx. Theory 225, 76-105 (2018). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 42C05 41A20 41A21 PDFBibTeX XMLCite \textit{M. L. Yattselev}, J. Approx. Theory 225, 76--105 (2018; Zbl 1383.42025) Full Text: DOI arXiv
López-García, Abey; López Lagomasino, Guillermo Nikishin systems on star-like sets: ratio asymptotics of the associated multiple orthogonal polynomials. (English) Zbl 1381.42036 J. Approx. Theory 225, 1-40 (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 42C05 30E10 47B39 PDFBibTeX XMLCite \textit{A. López-García} and \textit{G. López Lagomasino}, J. Approx. Theory 225, 1--40 (2018; Zbl 1381.42036) Full Text: DOI arXiv
Eichinger, Benjamin Szegő-Widom asymptotics of Chebyshev polynomials on circular arcs. (English) Zbl 1371.41038 J. Approx. Theory 217, 15-25 (2017). Reviewer: Mohammad Sababheh (Amman) MSC: 41A50 30E15 30C10 PDFBibTeX XMLCite \textit{B. Eichinger}, J. Approx. Theory 217, 15--25 (2017; Zbl 1371.41038) Full Text: DOI arXiv
Świderski, Grzegorz Periodic perturbations of unbounded Jacobi matrices. II: Formulas for density. (English) Zbl 1367.47039 J. Approx. Theory 216, 67-85 (2017). MSC: 47B36 42C05 47B25 PDFBibTeX XMLCite \textit{G. Świderski}, J. Approx. Theory 216, 67--85 (2017; Zbl 1367.47039) Full Text: DOI arXiv
Świderski, Grzegorz; Trojan, Bartosz Periodic perturbations of unbounded Jacobi matrices. I: Asymptotics of generalized eigenvectors. (English) Zbl 1367.47040 J. Approx. Theory 216, 38-66 (2017). MSC: 47B36 47A55 42C05 60J80 PDFBibTeX XMLCite \textit{G. Świderski} and \textit{B. Trojan}, J. Approx. Theory 216, 38--66 (2017; Zbl 1367.47040) Full Text: DOI arXiv
Wu, Xiao-Bo; Lin, Yu; Xu, Shuai-Xia; Zhao, Yu-Qiu Plancherel-Rotach type asymptotics of the sieved Pollaczek polynomials via the Riemann-Hilbert approach. (English) Zbl 1380.41010 J. Approx. Theory 208, 21-58 (2016). Reviewer: C. L. Parihar (Indore) MSC: 41A60 33C10 33C45 PDFBibTeX XMLCite \textit{X.-B. Wu} et al., J. Approx. Theory 208, 21--58 (2016; Zbl 1380.41010) Full Text: DOI
Xu, Shuai-Xia; Dai, Dan; Zhao, Yu-Qiu Hankel determinants for a singular complex weight and the first and third Painlevé transcendents. (English) Zbl 1339.33022 J. Approx. Theory 205, 64-92 (2016). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 33E17 34M55 41A60 PDFBibTeX XMLCite \textit{S.-X. Xu} et al., J. Approx. Theory 205, 64--92 (2016; Zbl 1339.33022) Full Text: DOI arXiv
Liaw, Constanze; Littlejohn, Lance L.; Milson, Robert; Stewart, Jessica The spectral analysis of three families of exceptional Laguerre polynomials. (English) Zbl 1333.33018 J. Approx. Theory 202, 5-41 (2016). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 34B24 42C05 33C47 47B25 PDFBibTeX XMLCite \textit{C. Liaw} et al., J. Approx. Theory 202, 5--41 (2016; Zbl 1333.33018) Full Text: DOI
Straub, Armin; Zudilin, Wadim Positivity of rational functions and their diagonals. (English) Zbl 1374.05023 J. Approx. Theory 195, 57-69 (2015). MSC: 05A15 33F10 PDFBibTeX XMLCite \textit{A. Straub} and \textit{W. Zudilin}, J. Approx. Theory 195, 57--69 (2015; Zbl 1374.05023) Full Text: DOI arXiv
Dai, Dan; Ismail, Mourad E. H.; Wang, Jun Asymptotics for Laguerre polynomials with large order and parameters. (English) Zbl 1315.33013 J. Approx. Theory 193, 4-19 (2015). Reviewer: M. Abdessadek Saib (Lyon) MSC: 33C45 35Q15 PDFBibTeX XMLCite \textit{D. Dai} et al., J. Approx. Theory 193, 4--19 (2015; Zbl 1315.33013) Full Text: DOI
Xu, Shuai-Xia; Dai, Dan; Zhao, Yu-Qiu Painlevé III asymptotics of Hankel determinants for a singularly perturbed Laguerre weight. (English) Zbl 1314.33021 J. Approx. Theory 192, 1-18 (2015). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 33E17 34M55 41A60 34M30 PDFBibTeX XMLCite \textit{S.-X. Xu} et al., J. Approx. Theory 192, 1--18 (2015; Zbl 1314.33021) Full Text: DOI arXiv
Van Assche, Walter; Filipuk, Galina; Zhang, Lun Multiple orthogonal polynomials associated with an exponential cubic weight. (English) Zbl 1309.42037 J. Approx. Theory 190, 1-25 (2015). Reviewer: Pablo Sánchez-Moreno (Granada) MSC: 42C05 PDFBibTeX XMLCite \textit{W. Van Assche} et al., J. Approx. Theory 190, 1--25 (2015; Zbl 1309.42037) Full Text: DOI arXiv
Wang, Xiang-Sheng Plancherel-Rotach asymptotics of second-order difference equations with linear coefficients. (English) Zbl 1302.39006 J. Approx. Theory 188, 1-18 (2014). MSC: 39A06 39A22 PDFBibTeX XMLCite \textit{X.-S. Wang}, J. Approx. Theory 188, 1--18 (2014; Zbl 1302.39006) Full Text: DOI arXiv
Deaño, Alfredo Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval. (English) Zbl 1298.33014 J. Approx. Theory 186, 33-63 (2014). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 26C10 30C15 65D32 65E05 PDFBibTeX XMLCite \textit{A. Deaño}, J. Approx. Theory 186, 33--63 (2014; Zbl 1298.33014) Full Text: DOI arXiv
Kroó, András A note on strong asymptotics of weighted Chebyshev polynomials. (English) Zbl 1295.41033 J. Approx. Theory 181, 1-5 (2014). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 30E15 PDFBibTeX XMLCite \textit{A. Kroó}, J. Approx. Theory 181, 1--5 (2014; Zbl 1295.41033) Full Text: DOI
Simanek, Brian Asymptotic properties of extremal polynomials corresponding to measures supported on analytic regions. (English) Zbl 1283.30005 J. Approx. Theory 170, 172-197 (2013). Reviewer: H. P. Dikshit (Bhopal) MSC: 30C10 41A10 42C05 PDFBibTeX XMLCite \textit{B. Simanek}, J. Approx. Theory 170, 172--197 (2013; Zbl 1283.30005) Full Text: DOI arXiv
Alfaro, María Pilar; Bello-Hernández, Manuel; Montaner, Jesús María On the zeros of orthogonal polynomials on the unit circle. (English) Zbl 1290.30004 J. Approx. Theory 170, 134-154 (2013). Reviewer: Piroska Lakatos (Debrecen) MSC: 30C15 30C10 26C10 33C47 PDFBibTeX XMLCite \textit{M. P. Alfaro} et al., J. Approx. Theory 170, 134--154 (2013; Zbl 1290.30004) Full Text: DOI arXiv
Delgado, Antonia M.; Pérez, Teresa E.; Piñar, Miguel A. Sobolev-type orthogonal polynomials on the unit ball. (English) Zbl 1285.42021 J. Approx. Theory 170, 94-106 (2013). Reviewer: Alexei Lukashov (Istanbul) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{A. M. Delgado} et al., J. Approx. Theory 170, 94--106 (2013; Zbl 1285.42021) Full Text: DOI
Fejzullahu, B. Xh.; Marcellán, F.; Moreno-Balcázar, J. J. Jacobi-Sobolev orthogonal polynomials: asymptotics and a Cohen type inequality. (English) Zbl 1283.33006 J. Approx. Theory 170, 78-93 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{B. Xh. Fejzullahu} et al., J. Approx. Theory 170, 78--93 (2013; Zbl 1283.33006) Full Text: DOI
Ndayiragije, François; Van Assche, Walter Asymptotics for the ratio and the zeros of multiple Charlier polynomials. (English) Zbl 1284.33009 J. Approx. Theory 170, 3-20 (2013). Reviewer: Alexei Lukashov (Istanbul) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{F. Ndayiragije} and \textit{W. Van Assche}, J. Approx. Theory 170, 3--20 (2013; Zbl 1284.33009) Full Text: DOI
Ndayiragije, François; Van Assche, Walter Asymptotics for the ratio and the zeros of multiple Charlier polynomials. (English) Zbl 1246.42022 J. Approx. Theory 164, No. 6, 823-840 (2012). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Ndayiragije} and \textit{W. Van Assche}, J. Approx. Theory 164, No. 6, 823--840 (2012; Zbl 1246.42022) Full Text: DOI arXiv
Neuschel, Thorsten Asymptotics for Ménage polynomials and certain hypergeometric polynomials of type \(_{3}F_{1}\). (English) Zbl 1250.33010 J. Approx. Theory 164, No. 7, 981-1006 (2012). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C20 33C10 34M30 PDFBibTeX XMLCite \textit{T. Neuschel}, J. Approx. Theory 164, No. 7, 981--1006 (2012; Zbl 1250.33010) Full Text: DOI
Sinclair, Christopher D.; Yattselev, Maxim L. Universality for ensembles of matrices with potential theoretic weights on domains with smooth boundary. (English) Zbl 1243.15024 J. Approx. Theory 164, No. 5, 682-708 (2012). Reviewer: Grozio Stanilov (Sofia) MSC: 15B52 31B15 62H20 PDFBibTeX XMLCite \textit{C. D. Sinclair} and \textit{M. L. Yattselev}, J. Approx. Theory 164, No. 5, 682--708 (2012; Zbl 1243.15024) Full Text: DOI arXiv
Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco A new linear spectral transformation associated with derivatives of Dirac linear functionals. (English) Zbl 1241.42021 J. Approx. Theory 163, No. 12, 1834-1853 (2011). Reviewer: Alexei Lukashov (Istanbul) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{K. Castillo} et al., J. Approx. Theory 163, No. 12, 1834--1853 (2011; Zbl 1241.42021) Full Text: DOI
Geronimo, J. S.; Golinskii, L. On Baxter’s difference systems. (English) Zbl 1260.39004 J. Approx. Theory 163, No. 10, 1522-1533 (2011). MSC: 39A10 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{L. Golinskii}, J. Approx. Theory 163, No. 10, 1522--1533 (2011; Zbl 1260.39004) Full Text: DOI arXiv
López García, A. Asymptotics of multiple orthogonal polynomials for a system of two measures supported on a starlike set. (English) Zbl 1228.42030 J. Approx. Theory 163, No. 9, 1146-1184 (2011). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 42C05 33C45 42C10 PDFBibTeX XMLCite \textit{A. López García}, J. Approx. Theory 163, No. 9, 1146--1184 (2011; Zbl 1228.42030) 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
Bello-Hernández, Manuel Convergence of Padé approximants of Stieltjes-type meromorphic functions and the relative asymptotics of orthogonal polynomials on the real line. (English) Zbl 1208.41008 J. Approx. Theory 163, No. 1, 3-21 (2011). MSC: 41A21 PDFBibTeX XMLCite \textit{M. Bello-Hernández}, J. Approx. Theory 163, No. 1, 3--21 (2011; Zbl 1208.41008) Full Text: DOI
de Andrade, Eliana X. L.; Bracciali, Cleonice F.; Castaño-García, Laura; Moreno-Balcázar, Juan J. Asymptotics for Jacobi-Sobolev orthogonal polynomials associated with non-coherent pairs of measures. (English) Zbl 1209.42017 J. Approx. Theory 162, No. 11, 1945-1963 (2010). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{E. X. L. de Andrade} et al., J. Approx. Theory 162, No. 11, 1945--1963 (2010; Zbl 1209.42017) Full Text: DOI
Wong, Manwah Lilian Asymptotics of orthogonal polynomials and point perturbation on the unit circle. (English) Zbl 1206.33012 J. Approx. Theory 162, No. 6, 1294-1321 (2010). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C45 42C05 41A60 30E15 PDFBibTeX XMLCite \textit{M. L. Wong}, J. Approx. Theory 162, No. 6, 1294--1321 (2010; Zbl 1206.33012) Full Text: DOI arXiv
Kozhan, Rostyslav Szegő asymptotics for matrix-valued measures with countably many bound states. (English) Zbl 1238.42010 J. Approx. Theory 162, No. 6, 1211-1224 (2010). MSC: 42C05 PDFBibTeX XMLCite \textit{R. Kozhan}, J. Approx. Theory 162, No. 6, 1211--1224 (2010; Zbl 1238.42010) Full Text: DOI arXiv
Babenko, Yuliya Exact asymptotics of the uniform error of interpolation by multilinear splines. (English) Zbl 1194.41014 J. Approx. Theory 162, No. 5, 1007-1024 (2010). Reviewer: H. P. Dikshit (Bhopal) MSC: 41A15 PDFBibTeX XMLCite \textit{Y. Babenko}, J. Approx. Theory 162, No. 5, 1007--1024 (2010; Zbl 1194.41014) Full Text: DOI 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
Wong, R.; Zhang, Lun Global asymptotics of orthogonal polynomials associated with \(|x|^{2\alpha} e^{-Q(x)}\). (English) Zbl 1198.33004 J. Approx. Theory 162, No. 4, 723-765 (2010). Reviewer: Roelof Koekoek (Delft) MSC: 33C10 42C05 PDFBibTeX XMLCite \textit{R. Wong} and \textit{L. Zhang}, J. Approx. Theory 162, No. 4, 723--765 (2010; Zbl 1198.33004) Full Text: DOI
Dueñas, Herbert; Marcellán, Francisco The Laguerre-Sobolev-type orthogonal polynomials. (English) Zbl 1190.33013 J. Approx. Theory 162, No. 2, 421-440 (2010). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{H. Dueñas} and \textit{F. Marcellán}, J. Approx. Theory 162, No. 2, 421--440 (2010; Zbl 1190.33013) Full Text: DOI
Bello-Hernández, Manuel Convergence of Padé approximants of Stieltjes-type meromorphic functions and the relative asymptotics of orthogonal polynomials on the real line. (English) Zbl 1186.41012 J. Approx. Theory 162, No. 2, 363-381 (2010). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A21 PDFBibTeX XMLCite \textit{M. Bello-Hernández}, J. Approx. Theory 162, No. 2, 363--381 (2010; Zbl 1186.41012) Full Text: DOI
Annaby, M. H.; Mansour, Z. S.; Ashour, O. A. On reality and asymptotics of zeros of \(q\)-Hankel transforms. (English) Zbl 1179.30004 J. Approx. Theory 160, No. 1-2, 223-242 (2009). MSC: 30C15 33D45 42A38 PDFBibTeX XMLCite \textit{M. H. Annaby} et al., J. Approx. Theory 160, No. 1--2, 223--242 (2009; Zbl 1179.30004) Full Text: DOI
Naboko, Serguei; Pchelintseva, Irina; Silva, Luis O. Discrete spectrum in a critical coupling case of Jacobi matrices with spectral phase transitions by uniform asymptotic analysis. (English) Zbl 1182.47030 J. Approx. Theory 161, No. 1, 314-336 (2009). MSC: 47B36 47A10 PDFBibTeX XMLCite \textit{S. Naboko} et al., J. Approx. Theory 161, No. 1, 314--336 (2009; Zbl 1182.47030) Full Text: DOI arXiv
Damanik, David; Naboko, Serguei Unbounded Jacobi matrices at critical coupling. (English) Zbl 1120.47020 J. Approximation Theory 145, No. 2, 221-236 (2007). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B36 41A30 47A10 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{S. Naboko}, J. Approx. Theory 145, No. 2, 221--236 (2007; Zbl 1120.47020) Full Text: DOI
Lubinsky, D. S. Asymptotics of derivatives of orthogonal polynomials on the unit circle. (English) Zbl 1113.41008 J. Approximation Theory 145, No. 1, 122-127 (2007). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A10 42C05 33C45 PDFBibTeX XMLCite \textit{D. S. Lubinsky}, J. Approx. Theory 145, No. 1, 122--127 (2007; Zbl 1113.41008) Full Text: DOI
Izen, Steven H. Refined estimates on the growth rate of Jacobi polynomials. (English) Zbl 1109.33012 J. Approximation Theory 144, No. 1, 54-66 (2007). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 30E15 PDFBibTeX XMLCite \textit{S. H. Izen}, J. Approx. Theory 144, No. 1, 54--66 (2007; Zbl 1109.33012) Full Text: DOI
Osilenker, Boris P. Generalized trace formula and asymptotics of the averaged Turan determinant for polynomials orthogonal with a discrete Sobolev inner product. (English) Zbl 1099.42501 J. Approximation Theory 141, No. 1, 70-97 (2006). MSC: 42C05 PDFBibTeX XMLCite \textit{B. P. Osilenker}, J. Approx. Theory 141, No. 1, 70--97 (2006; Zbl 1099.42501) Full Text: DOI
Barrios Rolanía, D.; de la Calle Ysern, B.; López Lagomasino, G. Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures. (English) Zbl 1100.42014 J. Approximation Theory 139, No. 1-2, 223-256 (2006). Reviewer: Alexei Lukashov (Istanbul) MSC: 42C05 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} et al., J. Approx. Theory 139, No. 1--2, 223--256 (2006; Zbl 1100.42014) Full Text: DOI Link
Denisov, S.; Kupin, S. Asymptotics of the orthogonal polynomials for the Szegő class with a polynomial weight. (English) Zbl 1099.41025 J. Approximation Theory 139, No. 1-2, 8-28 (2006). Reviewer: Leonid Golinskii (Kharkov) MSC: 41A60 47B36 42C05 PDFBibTeX XMLCite \textit{S. Denisov} and \textit{S. Kupin}, J. Approx. Theory 139, No. 1--2, 8--28 (2006; Zbl 1099.41025) Full Text: DOI arXiv
Aptekarev, A. I.; Van Assche, W. Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight. (English) Zbl 1061.30035 J. Approximation Theory 129, No. 2, 129-166 (2004). Reviewer: Arno Kuijlaars (Leuven) MSC: 30E25 30E10 30E15 41A21 41A60 42C05 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{W. Van Assche}, J. Approx. Theory 129, No. 2, 129--166 (2004; Zbl 1061.30035) Full Text: DOI
Simon, Barry Ratio asymptotics and weak asymptotic measures for orthogonal polynomials on the real line. (English) Zbl 1043.42017 J. Approximation Theory 126, No. 2, 198-217 (2004). MSC: 42C05 47B36 PDFBibTeX XMLCite \textit{B. Simon}, J. Approx. Theory 126, No. 2, 198--217 (2004; Zbl 1043.42017) Full Text: DOI
Bello Hernández, M.; Mínguez Ceniceros, J. Strong asymptotic behavior for extremal polynomials with respect to varying measures on the unit circle. (English) Zbl 1048.30003 J. Approximation Theory 125, No. 1, 131-144 (2003). Reviewer: Jürgen Müller (Trier) MSC: 30C10 41A10 30D55 41A65 PDFBibTeX XMLCite \textit{M. Bello Hernández} and \textit{J. Mínguez Ceniceros}, J. Approx. Theory 125, No. 1, 131--144 (2003; Zbl 1048.30003) Full Text: DOI
Cachafeiro, Alicia; Marcellán, Francisco; Moreno-Balcázar, Juan J. On asymptotic properties of Freud–Sobolev orthogonal polynomials. (English) Zbl 1043.33005 J. Approximation Theory 125, No. 1, 26-41 (2003). Reviewer: N. M. Temme (Amsterdam) MSC: 33C45 33C47 42C05 PDFBibTeX XMLCite \textit{A. Cachafeiro} et al., J. Approx. Theory 125, No. 1, 26--41 (2003; Zbl 1043.33005) Full Text: DOI
Van Deun, J.; Bultheel, A. Ratio asymptotics for orthogonal rational functions on an interval. (English) Zbl 1027.42018 J. Approximation Theory 123, No. 2, 162-172 (2003). MSC: 42C05 41A60 30C15 30D50 41A20 PDFBibTeX XMLCite \textit{J. Van Deun} and \textit{A. Bultheel}, J. Approx. Theory 123, No. 2, 162--172 (2003; Zbl 1027.42018) Full Text: DOI
Robert, Leonel; Santiago, Luis Finite sections method for Hessenberg matrices. (English) Zbl 1053.47026 J. Approximation Theory 123, No. 1, 68-88 (2003). Reviewer: Mihai Putinar (Santa Barbara) MSC: 47B36 41A35 44A60 42C05 65F50 PDFBibTeX XMLCite \textit{L. Robert} and \textit{L. Santiago}, J. Approx. Theory 123, No. 1, 68--88 (2003; Zbl 1053.47026) Full Text: DOI
Ganzburg, Michael I. Strong asymptotics in Lagrange interpolation with equidistant nodes. (English) Zbl 1020.41001 J. Approximation Theory 122, No. 2, 224-240 (2003). Reviewer: Boris I.Golubov (Dolgoprudny) MSC: 41A05 PDFBibTeX XMLCite \textit{M. I. Ganzburg}, J. Approx. Theory 122, No. 2, 224--240 (2003; Zbl 1020.41001) Full Text: DOI
Alfaro, Manuel; Moreno-Balcázar, Juan J.; Rezola, M. Luisa Laguerre-Sobolev orthogonal polynomials: Asymptotics for coherent pairs of type II. (English) Zbl 1031.42024 J. Approximation Theory 122, No. 1, 79-96 (2003). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Approx. Theory 122, No. 1, 79--96 (2003; Zbl 1031.42024) Full Text: DOI
Suslov, Sergei K. Asymptotics of zeros of basic sine and cosine functions. (English) Zbl 1025.33008 J. Approximation Theory 121, No. 2, 292-335 (2003). Reviewer: Shaun Cooper (Auckland) MSC: 33D15 33B10 33D05 PDFBibTeX XMLCite \textit{S. K. Suslov}, J. Approx. Theory 121, No. 2, 292--335 (2003; Zbl 1025.33008) Full Text: DOI
Shi, Ying Guang On ratio asymptotics for general polynomials. (English) Zbl 1128.41304 J. Approximation Theory 120, No. 2, 355-370 (2003). Reviewer: Juri M. Rappoport (Moskva) MSC: 41A60 42C05 PDFBibTeX XMLCite \textit{Y. G. Shi}, J. Approx. Theory 120, No. 2, 355--370 (2003; Zbl 1128.41304) Full Text: DOI
Rösler, Margit; de Jeu, Marcel Asymptotic analysis for the Dunkl kernel. (English) Zbl 1015.43004 J. Approximation Theory 119, No. 1, 110-126 (2002). Reviewer: A.A.Bogush (Minsk) MSC: 43A32 41A60 17B81 43A05 PDFBibTeX XMLCite \textit{M. Rösler} and \textit{M. de Jeu}, J. Approx. Theory 119, No. 1, 110--126 (2002; Zbl 1015.43004) 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
Sri Ranga, A.; Van Assche, Walter Blumenthal’s theorem for Laurent orthogonal polynomials. (English) Zbl 1022.42014 J. Approximation Theory 117, No. 2, 255-278 (2002). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 47B36 PDFBibTeX XMLCite \textit{A. Sri Ranga} and \textit{W. Van Assche}, J. Approx. Theory 117, No. 2, 255--278 (2002; Zbl 1022.42014) Full Text: DOI
Dörfler, P. Asymptotics of the best constant in a certain Markov-type inequality. (English) Zbl 1120.41015 J. Approximation Theory 114, No. 1, 84-97 (2002). Reviewer: H. P. Dikshit (New Delhi) MSC: 41A17 PDFBibTeX XMLCite \textit{P. Dörfler}, J. Approx. Theory 114, No. 1, 84--97 (2002; Zbl 1120.41015) Full Text: DOI
Shi, Ying Guang New characterizations of ratio asymptotics for orthogonal polynomials. (English) Zbl 1013.42016 J. Approximation Theory 115, No. 1, 1-8 (2002). Reviewer: Boris I.Golubov (Dolgoprudny) MSC: 42C05 PDFBibTeX XMLCite \textit{Y. G. Shi}, J. Approx. Theory 115, No. 1, 1--8 (2002; Zbl 1013.42016) Full Text: DOI
Duren, Peter L.; Guillou, Bertrand J. Asymptotic properties of zeros of hypergeometric polynomials. (English) Zbl 0983.33008 J. Approximation Theory 111, No. 2, 329-343 (2001). Reviewer: N.M.Temme (Amsterdam) MSC: 33C45 41A60 30C15 PDFBibTeX XMLCite \textit{P. L. Duren} and \textit{B. J. Guillou}, J. Approx. Theory 111, No. 2, 329--343 (2001; Zbl 0983.33008) Full Text: DOI
Yakhlef, Hossain O.; Marcellán, Francisco; Piñar, Miguel A. Relative asymptotics for orthogonal matrix polynomials with convergent recurrence coefficients. (English) Zbl 1005.42014 J. Approximation Theory 111, No. 1, 1-30 (2001). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 PDFBibTeX XMLCite \textit{H. O. Yakhlef} et al., J. Approx. Theory 111, No. 1, 1--30 (2001; Zbl 1005.42014) Full Text: DOI
Driver, Kathy; Möller, Manfred Zeros of hypergeometric polynomials \(F(-n,b;-2n;z)\). (English) Zbl 0996.33008 J. Approximation Theory 110, No. 1, 74-87 (2001). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 33C45 PDFBibTeX XMLCite \textit{K. Driver} and \textit{M. Möller}, J. Approx. Theory 110, No. 1, 74--87 (2001; Zbl 0996.33008) Full Text: DOI
Marcellán, Francisco; Moreno-Balcázar, Juan J. Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials. (English) Zbl 0983.42013 J. Approximation Theory 110, No. 1, 54-73 (2001). MSC: 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{J. J. Moreno-Balcázar}, J. Approx. Theory 110, No. 1, 54--73 (2001; Zbl 0983.42013) Full Text: DOI
Duran, Antonio J.; Daneri-Vias, Enrique Ratio asymptotics for orthogonal matrix polynomials with unbounded recurrence coefficients. (English) Zbl 0988.42018 J. Approximation Theory 110, No. 1, 1-17 (2001). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 PDFBibTeX XMLCite \textit{A. J. Duran} and \textit{E. Daneri-Vias}, J. Approx. Theory 110, No. 1, 1--17 (2001; Zbl 0988.42018) Full Text: DOI
Elbert, Christian Strong asymptotics of the generating polynomials of the Stirling numbers of the second kind. (English) Zbl 0977.05003 J. Approximation Theory 109, No. 2, 198-217 (2001). Reviewer: David M.Bressoud (Saint Paul) MSC: 05A16 11B73 PDFBibTeX XMLCite \textit{C. Elbert}, J. Approx. Theory 109, No. 2, 198--217 (2001; Zbl 0977.05003) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert Asymptotic behaviour of orthogonal polynomials on the unit circle with asymptotically periodic reflection coefficients. II: Weak asymptotics. (English) Zbl 0971.42013 J. Approximation Theory 105, No. 1, 102-128 (2000). Reviewer: Walter Van Assche (Leuven) MSC: 42C05 30E15 30C10 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, J. Approx. Theory 105, No. 1, 102--128 (2000; Zbl 0971.42013) Full Text: DOI
Duran, Antonio J. Ratio asymptotics for orthogonal matrix polynomials. (English) Zbl 0944.42015 J. Approximation Theory 100, No. 2, 304-344 (1999). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 42C05 33C45 30E15 47A56 39A11 PDFBibTeX XMLCite \textit{A. J. Duran}, J. Approx. Theory 100, No. 2, 304--344 (1999; Zbl 0944.42015) 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
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
Xu, Yuan Asymptotics of the Christoffel functions on a simplex in \(\mathbb{R}^d\). (English) Zbl 0943.42012 J. Approximation Theory 99, No. 1, 122-133 (1999). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{Y. Xu}, J. Approx. Theory 99, No. 1, 122--133 (1999; Zbl 0943.42012) Full Text: DOI
Spigler, Renato; Vianello, Marco; Locatelli, Francesca Liouville-Green-Olver approximations for complex difference equations. (English) Zbl 0918.39002 J. Approximation Theory 96, No. 2, 301-322 (1999). Reviewer: R.P.Agarwal (Lucknow) MSC: 39A11 33C75 PDFBibTeX XMLCite \textit{R. Spigler} et al., J. Approx. Theory 96, No. 2, 301--322 (1999; Zbl 0918.39002)
Golinskii, Leonid Akhiezer’s orthogonal polynomials and Bernstein-Szegő method for a circular arc. (English) Zbl 0916.42016 J. Approximation Theory 95, No. 2, 229-263 (1998). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{L. Golinskii}, J. Approx. Theory 95, No. 2, 229--263 (1998; Zbl 0916.42016) Full Text: DOI
Driver, Kathy A.; Temme, Nico M. On polynomials related with Hermite-Padé approximations to the exponential function. (English) Zbl 0913.41012 J. Approximation Theory 95, No. 1, 101-122 (1998). Reviewer: M.G.de Bruin (Delft) MSC: 41A21 PDFBibTeX XMLCite \textit{K. A. Driver} and \textit{N. M. Temme}, J. Approx. Theory 95, No. 1, 101--122 (1998; Zbl 0913.41012) Full Text: DOI
Bello Hernández, M.; López Lagomasino, G. Ratio and relative asymptotics of polynomials orthogonal on an arc of the unit circle. (English) Zbl 0897.42016 J. Approximation Theory 92, No. 2, 216-244 (1998). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 30E10 30E15 PDFBibTeX XMLCite \textit{M. Bello Hernández} and \textit{G. López Lagomasino}, J. Approx. Theory 92, No. 2, 216--244 (1998; Zbl 0897.42016) Full Text: DOI Link
Gautschi, Walter; Kuijlaars, A. B. J. Zeros and critical points of Sobolev orthogonal polynomials. (English) Zbl 0897.42014 J. Approximation Theory 91, No. 1, 117-137 (1997). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 30E15 65D20 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{A. B. J. Kuijlaars}, J. Approx. Theory 91, No. 1, 117--137 (1997; Zbl 0897.42014) Full Text: DOI
Benzine, Rachid Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off a curve. (English) Zbl 0882.42014 J. Approximation Theory 89, No. 2, 257-265 (1997). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 41A60 PDFBibTeX XMLCite \textit{R. Benzine}, J. Approx. Theory 89, No. 2, 257--265 (1997; Zbl 0882.42014) Full Text: DOI
Reyes, Noli N. An asymptotic formula for some wavelet series. (English) Zbl 0882.42021 J. Approximation Theory 89, No. 1, 89-95 (1997). Reviewer: A.Bultheel (Leuven) MSC: 42C40 40A05 PDFBibTeX XMLCite \textit{N. N. Reyes}, J. Approx. Theory 89, No. 1, 89--95 (1997; Zbl 0882.42021) Full Text: DOI
Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A. Sobolev-type orthogonal polynomials: The nondiagonal case. (English) Zbl 0841.42013 J. Approximation Theory 83, No. 2, 266-287 (1995). Reviewer: Roelof Koekoek (Delft) MSC: 42C05 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Approx. Theory 83, No. 2, 266--287 (1995; Zbl 0841.42013) Full Text: DOI
Levin, A. L.; Lubinsky, D. S. Orthogonal polynomials and Christoffel functions for \(\text{exp}(- | x|)^ \alpha\), \(\alpha\leq 1\). (English) Zbl 0837.42012 J. Approximation Theory 80, No. 2, 219-252 (1995). Reviewer: V.Totik (Szeged) MSC: 42C05 PDFBibTeX XMLCite \textit{A. L. Levin} and \textit{D. S. Lubinsky}, J. Approx. Theory 80, No. 2, 219--252 (1995; Zbl 0837.42012) Full Text: DOI
Kaliaguine, Valeri A. A note on the asymptotics of orthogonal polynomials on a complex arc: The case of a measure with a discrete part. (English) Zbl 0831.42015 J. Approximation Theory 80, No. 1, 138-145 (1995). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 30E10 PDFBibTeX XMLCite \textit{V. A. Kaliaguine}, J. Approx. Theory 80, No. 1, 138--145 (1995; Zbl 0831.42015) Full Text: DOI
Li, Xin; Pan, K. Asymptotic behavior of orthogonal polynomials corresponding to measure with discrete part off the unit circle. (English) Zbl 0805.42017 J. Approximation Theory 79, No. 1, 54-71 (1994). Reviewer: H.Stahl (Berlin) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{X. Li} and \textit{K. Pan}, J. Approx. Theory 79, No. 1, 54--71 (1994; Zbl 0805.42017) Full Text: DOI
Widom, Harold The asymptotics of a continuous analogue of orthogonal polynomials. (English) Zbl 0801.42017 J. Approximation Theory 77, No. 1, 51-64 (1994). Reviewer: H.Stahl (Berlin) MSC: 42C05 PDFBibTeX XMLCite \textit{H. Widom}, J. Approx. Theory 77, No. 1, 51--64 (1994; Zbl 0801.42017) Full Text: DOI
Marcellán, Francisco; Van Assche, Walter Relative asymptotics for orthogonal polynomials with a Sobolev inner product. (English) Zbl 0771.42014 J. Approximation Theory 72, No. 2, 193-209 (1993). Reviewer: H.Stahl (Berlin) MSC: 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{W. Van Assche}, J. Approx. Theory 72, No. 2, 193--209 (1993; Zbl 0771.42014) Full Text: DOI
Geronimo, J. S.; Smith, D.; Van Assche, Walter Strong asymptotics for orthogonal polynomials with regularly and slowly varying recurrence coefficients. (English) Zbl 0772.42012 J. Approximation Theory 72, No. 2, 141-158 (1993). Reviewer: H.Stahl (Berlin) MSC: 42C05 41A60 PDFBibTeX XMLCite \textit{J. S. Geronimo} et al., J. Approx. Theory 72, No. 2, 141--158 (1993; Zbl 0772.42012) Full Text: DOI
Pan, K. On characterization theorems for measures associated with orthogonal systems of rational functions on the unit circle. (English) Zbl 0763.42016 J. Approximation Theory 70, No. 3, 265-272 (1992). Reviewer: M.G.de Bruin (Haarlem) MSC: 42C10 42C30 41A60 30C15 PDFBibTeX XMLCite \textit{K. Pan}, J. Approx. Theory 70, No. 3, 265--272 (1992; Zbl 0763.42016) Full Text: DOI
Wilson, James A. Asymptotics for the \({}_ 4F_ 3\) polynomials. (English) Zbl 0729.33006 J. Approximation Theory 66, No. 1, 58-71 (1991). Reviewer: R.Askey (Madison) MSC: 33C45 42A10 PDFBibTeX XMLCite \textit{J. A. Wilson}, J. Approx. Theory 66, No. 1, 58--71 (1991; Zbl 0729.33006) Full Text: DOI
Bauldry, William C. Estimates of asymmetric Freud polynomials on the real line. (English) Zbl 0716.42019 J. Approximation Theory 63, No. 2, 225-237 (1990). Reviewer: M.G.de Bruin MSC: 42C05 PDFBibTeX XMLCite \textit{W. C. Bauldry}, J. Approx. Theory 63, No. 2, 225--237 (1990; Zbl 0716.42019) Full Text: DOI
Geronimo, Jeffrey S.; Van Assche, Walter Relative asymptotics for orthogonal polynomials with unbounded recurrence coefficients. (English) Zbl 0705.42018 J. Approximation Theory 62, No. 1, 47-69 (1990). Reviewer: D.S.Lubinsky MSC: 42C05 39A11 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{W. Van Assche}, J. Approx. Theory 62, No. 1, 47--69 (1990; Zbl 0705.42018) Full Text: DOI