Świderski, Grzegorz; Trojan, Bartosz Orthogonal polynomials with periodically modulated recurrence coefficients in the Jordan block case. II. (English) Zbl 07781587 Constr. Approx. 58, No. 3, 615-686 (2023). MSC: 47B36 42C05 PDFBibTeX XMLCite \textit{G. Świderski} and \textit{B. Trojan}, Constr. Approx. 58, No. 3, 615--686 (2023; Zbl 07781587) Full Text: DOI arXiv OA License
Joshi, Nalini; Latimer, Tomas Lasic Asymptotic behaviours of \(q\)-orthogonal polynomials from a \(q\)-Riemann Hilbert problem. (English) Zbl 07735968 Constr. Approx. 58, No. 1, 151-179 (2023). MSC: 33C45 34M50 34M30 39A13 39A12 05A30 PDFBibTeX XMLCite \textit{N. Joshi} and \textit{T. L. Latimer}, Constr. Approx. 58, No. 1, 151--179 (2023; Zbl 07735968) Full Text: DOI arXiv
Long, Wen-Gao; Zeng, Zhao-Yun On the connection problem for the second Painlevé equation with large initial data. (English) Zbl 1515.33019 Constr. Approx. 55, No. 3, 861-889 (2022). MSC: 33E17 34M55 41A60 PDFBibTeX XMLCite \textit{W.-G. Long} and \textit{Z.-Y. Zeng}, Constr. Approx. 55, No. 3, 861--889 (2022; Zbl 1515.33019) Full Text: DOI arXiv
Sakhnovich, Alexander Discrete self-adjoint Dirac systems: asymptotic relations, Weyl functions and Toeplitz matrices. (English) Zbl 1486.39024 Constr. Approx. 55, No. 2, 641-659 (2022). MSC: 39A45 15B05 30E10 34B20 39A12 33C45 PDFBibTeX XMLCite \textit{A. Sakhnovich}, Constr. Approx. 55, No. 2, 641--659 (2022; Zbl 1486.39024) Full Text: DOI arXiv
Świderski, Grzegorz; Trojan, Bartosz Asymptotic behaviour of Christoffel-Darboux kernel via three-term recurrence relation. I. (English) Zbl 1479.42069 Constr. Approx. 54, No. 1, 49-116 (2021). Reviewer: Manuel D. Domínguez de la Iglesia (Ciudad de México) MSC: 42C05 47B36 PDFBibTeX XMLCite \textit{G. Świderski} and \textit{B. Trojan}, Constr. Approx. 54, No. 1, 49--116 (2021; Zbl 1479.42069) Full Text: DOI arXiv
Levenberg, N.; Wielonsky, F. Zeros of Faber polynomials for Joukowski airfoils. (English) Zbl 1451.30017 Constr. Approx. 52, No. 1, 93-114 (2020). Reviewer: Olga M. Katkova (Boston) MSC: 30C15 30C20 30C10 31A15 PDFBibTeX XMLCite \textit{N. Levenberg} and \textit{F. Wielonsky}, Constr. Approx. 52, No. 1, 93--114 (2020; Zbl 1451.30017) Full Text: DOI arXiv
Bothner, Thomas; Miller, Peter D. Rational solutions of the Painlevé-III equation: large parameter asymptotics. (English) Zbl 1435.34093 Constr. Approx. 51, No. 1, 123-224 (2020). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 34M50 33E17 34E05 PDFBibTeX XMLCite \textit{T. Bothner} and \textit{P. D. Miller}, Constr. Approx. 51, No. 1, 123--224 (2020; Zbl 1435.34093) Full Text: DOI arXiv
Świderski, Grzegorz Spectral properties of block Jacobi matrices. (English) Zbl 1417.47010 Constr. Approx. 48, No. 2, 301-335 (2018). MSC: 47B36 47B25 42C05 PDFBibTeX XMLCite \textit{G. Świderski}, Constr. Approx. 48, No. 2, 301--335 (2018; Zbl 1417.47010) Full Text: DOI arXiv
Hardy, Adrien Polynomial ensembles and recurrence coefficients. (English) Zbl 1409.60024 Constr. Approx. 48, No. 1, 137-162 (2018). MSC: 60B20 60F05 60G55 PDFBibTeX XMLCite \textit{A. Hardy}, Constr. Approx. 48, No. 1, 137--162 (2018; Zbl 1409.60024) Full Text: DOI arXiv
Pushnitski, Alexander; Yafaev, Dmitri Best rational approximation of functions with logarithmic singularities. (English) Zbl 1382.41013 Constr. Approx. 46, No. 2, 243-269 (2017). Reviewer: Vladimir V. Peller (East Lansing) MSC: 41A20 47B06 47B35 PDFBibTeX XMLCite \textit{A. Pushnitski} and \textit{D. Yafaev}, Constr. Approx. 46, No. 2, 243--269 (2017; Zbl 1382.41013) Full Text: DOI arXiv
Joshi, Nalini; Radnović, Milena Asymptotic behavior of the fourth Painlevé transcendents in the space of initial values. (English) Zbl 1356.34093 Constr. Approx. 44, No. 2, 195-231 (2016). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 34M30 PDFBibTeX XMLCite \textit{N. Joshi} and \textit{M. Radnović}, Constr. Approx. 44, No. 2, 195--231 (2016; Zbl 1356.34093) Full Text: DOI arXiv
Nevai, Paul; Totik, Vilmos Christoffel functions for weights with jumps. (English) Zbl 1329.42024 Constr. Approx. 42, No. 2, 265-280 (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 26C05 31A99 41A10 PDFBibTeX XMLCite \textit{P. Nevai} and \textit{V. Totik}, Constr. Approx. 42, No. 2, 265--280 (2015; Zbl 1329.42024) Full Text: DOI Link
Bertola, M.; Tovbis, A. Asymptotics of orthogonal polynomials with complex varying quartic weight: global structure, critical point behavior and the first Painlevé equation. (English) Zbl 1320.33029 Constr. Approx. 41, No. 3, 529-587 (2015). Reviewer: Jeremy Wade (Pittsburg) MSC: 33D45 33E17 15B52 PDFBibTeX XMLCite \textit{M. Bertola} and \textit{A. Tovbis}, Constr. Approx. 41, No. 3, 529--587 (2015; Zbl 1320.33029) Full Text: DOI arXiv
Costin, O.; Costin, R. D.; Huang, M. Tronquée solutions of the Painlevé equation PI. (English) Zbl 1327.34147 Constr. Approx. 41, No. 3, 467-494 (2015). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M55 34M40 34M60 PDFBibTeX XMLCite \textit{O. Costin} et al., Constr. Approx. 41, No. 3, 467--494 (2015; Zbl 1327.34147) Full Text: DOI arXiv
Grava, Tamara; Kapaev, Andrei; Klein, Christian On the tritronquée solutions of \(\mathrm{P}_{\mathrm{I}}^2\). (English) Zbl 1326.34136 Constr. Approx. 41, No. 3, 425-466 (2015). Reviewer: Sergei V. Rogosin (Minsk) MSC: 34M55 34E10 34M50 PDFBibTeX XMLCite \textit{T. Grava} et al., Constr. Approx. 41, No. 3, 425--466 (2015; Zbl 1326.34136) Full Text: DOI arXiv
Simanek, Brian The Bergman shift operator on polynomial lemniscates. (English) Zbl 1311.42063 Constr. Approx. 41, No. 1, 113-131 (2015). Reviewer: Brett Wick (Atlanta) MSC: 42C05 60B10 15B05 47B35 PDFBibTeX XMLCite \textit{B. Simanek}, Constr. Approx. 41, No. 1, 113--131 (2015; Zbl 1311.42063) Full Text: DOI arXiv
Dai, Dan; Ismail, Mourad E. H.; Wang, Xiang-Sheng Plancherel-Rotach asymptotic expansion for some polynomials from indeterminate moment problems. (English) Zbl 1315.41014 Constr. Approx. 40, No. 1, 61-104 (2014). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 33C47 30E05 PDFBibTeX XMLCite \textit{D. Dai} et al., Constr. Approx. 40, No. 1, 61--104 (2014; Zbl 1315.41014) Full Text: DOI arXiv
Howes, P.; Joshi, N. Global asymptotics of the second Painlevé equation in Okamoto’s space. (English) Zbl 1315.34098 Constr. Approx. 39, No. 1, 11-41 (2014). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 34M30 14E15 PDFBibTeX XMLCite \textit{P. Howes} and \textit{N. Joshi}, Constr. Approx. 39, No. 1, 11--41 (2014; Zbl 1315.34098) Full Text: DOI arXiv
Stylianopoulos, Nikos Strong asymptotics for Bergman polynomials over domains with corners and applications. (English) Zbl 1283.30006 Constr. Approx. 38, No. 1, 59-100 (2013). Reviewer: Fahreddin Abdullayev (Mersin) MSC: 30C10 30C30 30C50 30C62 41A10 65E05 30E05 PDFBibTeX XMLCite \textit{N. Stylianopoulos}, Constr. Approx. 38, No. 1, 59--100 (2013; Zbl 1283.30006) Full Text: DOI arXiv
Delvaux, Steven; López, Abey High-order three-term recursions, Riemann-Hilbert minors and Nikishin systems on star-like sets. (English) Zbl 1269.42017 Constr. Approx. 37, No. 3, 383-453 (2013). Reviewer: George Stoica (Saint John) MSC: 42C05 15B05 15B48 PDFBibTeX XMLCite \textit{S. Delvaux} and \textit{A. López}, Constr. Approx. 37, No. 3, 383--453 (2013; Zbl 1269.42017) Full Text: DOI arXiv
Ismail, Mourad E. H.; Li, Xin Plancherel-Rotach asymptotics for \(q\)-orthogonal polynomials. (English) Zbl 1272.33019 Constr. Approx. 37, No. 3, 341-356 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33D45 41A60 65Q30 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{X. Li}, Constr. Approx. 37, No. 3, 341--356 (2013; Zbl 1272.33019) Full Text: DOI arXiv
Kozhan, Rostyslav Jost asymptotics for matrix orthogonal polynomials on the real line. (English) Zbl 1276.33015 Constr. Approx. 36, No. 2, 267-309 (2012); correction ibid. 58, No. 2, 545-549 (2023). MSC: 33C45 PDFBibTeX XMLCite \textit{R. Kozhan}, Constr. Approx. 36, No. 2, 267--309 (2012; Zbl 1276.33015) Full Text: DOI arXiv
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim Finite gap Jacobi matrices. III: Beyond the Szegő class. (English) Zbl 1238.42009 Constr. Approx. 35, No. 2, 259-272 (2012). MSC: 42C05 34L15 PDFBibTeX XMLCite \textit{J. S. Christiansen} et al., Constr. Approx. 35, No. 2, 259--272 (2012; Zbl 1238.42009) Full Text: DOI arXiv
Lubinsky, D. S. A maximal function approach to Christoffel functions and Nevai’s operators. (English) Zbl 1235.42025 Constr. Approx. 34, No. 3, 357-369 (2011). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42C05 PDFBibTeX XMLCite \textit{D. S. Lubinsky}, Constr. Approx. 34, No. 3, 357--369 (2011; Zbl 1235.42025) Full Text: DOI
Christiansen, Jacob S.; Simon, Barry; Zinchenko, Maxim Finite gap Jacobi matrices. II: The Szegő class. (English) Zbl 1236.42021 Constr. Approx. 33, No. 3, 365-403 (2011). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42C05 58J53 14H30 47B36 PDFBibTeX XMLCite \textit{J. S. Christiansen} et al., Constr. Approx. 33, No. 3, 365--403 (2011; Zbl 1236.42021) 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
Vanlessen, M. Strong asymptotics of Laguerre-type orthogonal polynomials and applications in random matrix theory. (English) Zbl 1117.15025 Constructive Approximation 25, No. 2, 125-175 (2007). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15B52 33C45 30E25 PDFBibTeX XMLCite \textit{M. Vanlessen}, Constr. Approx. 25, No. 2, 125--175 (2007; Zbl 1117.15025) Full Text: DOI arXiv
Gilewicz, Jacek; Leopold, Elie; Ruffing, Andreas; Valent, Galliano Some cubic birth and death processes and their related orthogonal polynomials. (English) Zbl 1106.33008 Constructive Approximation 24, No. 1, 71-89 (2006). Reviewer: Aleksey A. Dovgoshey (Donetsk) MSC: 33C45 44A60 60J80 PDFBibTeX XMLCite \textit{J. Gilewicz} et al., Constr. Approx. 24, No. 1, 71--89 (2006; Zbl 1106.33008) Full Text: DOI arXiv
Geronimo, J. S.; Lubinsky, D. S.; Marcellan, F. Asymptotics for Sobolev orthogonal polynomials for exponential weights. (English) Zbl 1105.42016 Constructive Approximation 22, No. 3, 309-346 (2005). MSC: 42C05 26C05 PDFBibTeX XMLCite \textit{J. S. Geronimo} et al., Constr. Approx. 22, No. 3, 309--346 (2005; Zbl 1105.42016) Full Text: DOI Link
Kuijlaars, A. B. J.; Assche, W.; Wielonsky, F. Quadratic Hermite-Padé approximation to the exponential function: A Riemann-Hilbert approach. (English) Zbl 1084.41007 Constructive Approximation 21, No. 3, 351-412 (2005). Reviewer: Jürgen Müller (Trier) MSC: 41A21 30E10 30E25 35Q15 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., Constr. Approx. 21, No. 3, 351--412 (2005; Zbl 1084.41007) Full Text: DOI arXiv
Durán, Antonio J.; Polo, Beatriz Matrix Christoffel functions. (English) Zbl 1062.42014 Constructive Approximation 20, No. 3, 353-376 (2004). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 PDFBibTeX XMLCite \textit{A. J. Durán} and \textit{B. Polo}, Constr. Approx. 20, No. 3, 353--376 (2004; Zbl 1062.42014) Full Text: DOI
Bello Hernández, M.; de la Calle Ysern, B.; López Lagomasino, G. Generalized Stieltjes polynomials and rational Gauss-Kronrod quadrature. (English) Zbl 1056.42017 Constructive Approximation 20, No. 2, 249-265 (2004). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 31A99 41A21 65D32 PDFBibTeX XMLCite \textit{M. Bello Hernández} et al., Constr. Approx. 20, No. 2, 249--265 (2004; Zbl 1056.42017)
Wong, R.; Zhao, Yu-Qiu Exponential asymptotics of the Mittag-Leffler function. (English) Zbl 1025.33009 Constructive Approximation 18, No. 3, 355-385 (2002). Reviewer: Rudolf Gorenflo (Berlin) MSC: 33E12 41A60 PDFBibTeX XMLCite \textit{R. Wong} and \textit{Y.-Q. Zhao}, Constr. Approx. 18, No. 3, 355--385 (2002; Zbl 1025.33009) Full Text: DOI
Lubinsky, D. S. Asymptotic behavior of entire functions with positive coefficients: Research problems 2000-2. (English) Zbl 0956.41020 Constructive Approximation 16, No. 2, 313-316 (2000). Reviewer: Matthew He (Ft.Lauderdale) MSC: 41A60 PDFBibTeX XMLCite \textit{D. S. Lubinsky}, Constr. Approx. 16, No. 2, 313--316 (2000; Zbl 0956.41020) Full Text: DOI
Martínez-Finkelshtein, A. Bernstein-Szegő’s theorem for Sobolev orthogonal polynomials. (English) Zbl 0951.42014 Constructive Approximation 16, No. 1, 73-84 (2000). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein}, Constr. Approx. 16, No. 1, 73--84 (2000; Zbl 0951.42014) Full Text: DOI
de la Calle Ysern, B.; López Lagomasino, G. Weak convergence of varying measures and Hermite-Padé orthogonal polynomials. (English) Zbl 1058.42503 Constructive Approximation 15, No. 4, 553-575 (1999). MSC: 42C05 30E10 PDFBibTeX XMLCite \textit{B. de la Calle Ysern} and \textit{G. López Lagomasino}, Constr. Approx. 15, No. 4, 553--575 (1999; Zbl 1058.42503) Full Text: DOI
Barrios Rolanía, D.; López Lagomasino, G. Ratio asymptotics for polynomials orthogonal on arcs on the unit circle. (English) Zbl 0931.42016 Constructive Approximation 15, No. 1, 1-31 (1999). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 42C05 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} and \textit{G. López Lagomasino}, Constr. Approx. 15, No. 1, 1--31 (1999; Zbl 0931.42016) Full Text: DOI
Golinskii, L. Uniform asymptotics for second-kind ultraspherical polynomials on the unit circle. (English) Zbl 0948.42016 Constructive Approximation 14, No. 4, 599-608 (1998). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 42C05 PDFBibTeX XMLCite \textit{L. Golinskii}, Constr. Approx. 14, No. 4, 599--608 (1998; Zbl 0948.42016) Full Text: DOI
Chen, Yang; Ismail, M. E. H. Some indetermining moment problems and Freud-like weights. (English) Zbl 0913.30024 Constructive Approximation 14, No. 3, 439-458 (1998). Reviewer: M.G.de Bruin (Delft) MSC: 30E05 33D45 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{M. E. H. Ismail}, Constr. Approx. 14, No. 3, 439--458 (1998; Zbl 0913.30024) Full Text: DOI
Goh, W. M. Y. Plancherel-Rotach asymptotics for the Charlier polynomials. (English) Zbl 0894.33004 Constructive Approximation 14, No. 2, 151-168 (1998). Reviewer: B.Osilenker (Moskva) MSC: 33C45 PDFBibTeX XMLCite \textit{W. M. Y. Goh}, Constr. Approx. 14, No. 2, 151--168 (1998; Zbl 0894.33004) Full Text: DOI
Duran, A. J. Ratio asymptotics and quadrature formulas. (English) Zbl 0896.42017 Constructive Approximation 13, No. 2, 271-286 (1997). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 PDFBibTeX XMLCite \textit{A. J. Duran}, Constr. Approx. 13, No. 2, 271--286 (1997; Zbl 0896.42017) Full Text: DOI