Doliwa, Adam; Siemaszko, Artur Hermite-Padé approximation and integrability. (English) Zbl 1519.41005 J. Approx. Theory 292, Article ID 105910, 23 p. (2023). Reviewer: Adhemar Bultheel (Leuven) MSC: 41A21 37N30 37K20 37K60 42C05 51A20 65Q30 PDFBibTeX XMLCite \textit{A. Doliwa} and \textit{A. Siemaszko}, J. Approx. Theory 292, Article ID 105910, 23 p. (2023; Zbl 1519.41005) Full Text: DOI arXiv
Bailey, Rachel; Derevyagin, Maxim Complex Jacobi matrices generated by Darboux transformations. (English) Zbl 1515.42019 J. Approx. Theory 288, Article ID 105876, 33 p. (2023). Reviewer: Lotfi Khériji (Tunis) MSC: 42C05 33C45 47B36 47B28 15A23 PDFBibTeX XMLCite \textit{R. Bailey} and \textit{M. Derevyagin}, J. Approx. Theory 288, Article ID 105876, 33 p. (2023; Zbl 1515.42019) Full Text: DOI arXiv
Szwarc, Ryszard Positivity of Turán determinants for orthogonal polynomials. II. (English) Zbl 1477.33015 J. Approx. Theory 270, Article ID 105618, 10 p. (2021). Reviewer: Leonid Golinskii (Kharkov) MSC: 33C45 42C05 47B39 PDFBibTeX XMLCite \textit{R. Szwarc}, J. Approx. Theory 270, Article ID 105618, 10 p. (2021; Zbl 1477.33015) Full Text: DOI arXiv
Durán, Antonio J.; Rueda, Mónica Bispectrality of Meixner type polynomials. (English) Zbl 1462.42044 J. Approx. Theory 263, Article ID 105521, 26 p. (2021). Reviewer: Lotfi Khériji (Tunis) MSC: 42C05 33C45 33E30 PDFBibTeX XMLCite \textit{A. J. Durán} and \textit{M. Rueda}, J. Approx. Theory 263, Article ID 105521, 26 p. (2021; Zbl 1462.42044) Full Text: DOI
Aptekarev, Alexander I.; Kozhan, Rostyslav Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class. (English) Zbl 1440.42115 J. Approx. Theory 255, Article ID 105409, 20 p. (2020). MSC: 42C05 33C45 34A05 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{R. Kozhan}, J. Approx. Theory 255, Article ID 105409, 20 p. (2020; Zbl 1440.42115) Full Text: DOI arXiv
Zagorodnyuk, Sergey M. On some classical type Sobolev orthogonal polynomials. (English) Zbl 1454.42025 J. Approx. Theory 250, Article ID 105337, 14 p. (2020). Reviewer: Manuel D. Domínguez de la Iglesia (Ciudad de México) MSC: 42C05 33C45 33C05 PDFBibTeX XMLCite \textit{S. M. Zagorodnyuk}, J. Approx. Theory 250, Article ID 105337, 14 p. (2020; Zbl 1454.42025) Full Text: DOI arXiv
Leurs, Marjolein; Van Assche, Walter Laguerre-Angelesco multiple orthogonal polynomials on an \(r\)-star. (English) Zbl 1437.33008 J. Approx. Theory 250, Article ID 105324, 30 p. (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33C45 42C05 41A28 PDFBibTeX XMLCite \textit{M. Leurs} and \textit{W. Van Assche}, J. Approx. Theory 250, Article ID 105324, 30 p. (2020; Zbl 1437.33008) 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
Sakhnovich, Alexander New “Verblunsky-type” coefficients of block Toeplitz and Hankel matrices and of corresponding Dirac and canonical systems. (English) Zbl 1403.15019 J. Approx. Theory 237, 186-209 (2019). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 15B05 39A06 42C05 PDFBibTeX XMLCite \textit{A. Sakhnovich}, J. Approx. Theory 237, 186--209 (2019; Zbl 1403.15019) 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
Clarkson, Peter A.; Jordaan, Kerstin Properties of generalized Freud polynomials. (English) Zbl 1437.33011 J. Approx. Theory 225, 148-175 (2018). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C47 34M55 65Q30 PDFBibTeX XMLCite \textit{P. A. Clarkson} and \textit{K. Jordaan}, J. Approx. Theory 225, 148--175 (2018; Zbl 1437.33011) Full Text: DOI arXiv Link
Kasahara, Yukio; Bingham, Nicholas H. Coefficient stripping in the matricial Nehari problem. (English) Zbl 1368.42025 J. Approx. Theory 220, 1-11 (2017). MSC: 42C05 42A70 PDFBibTeX XMLCite \textit{Y. Kasahara} and \textit{N. H. Bingham}, J. Approx. Theory 220, 1--11 (2017; Zbl 1368.42025) Full Text: DOI Link
Zhang, Lun Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matrices. (English) Zbl 1377.33009 J. Approx. Theory 213, 92-119 (2017). Reviewer: Manuel D. de la Iglesia (México D. F.) MSC: 33C45 PDFBibTeX XMLCite \textit{L. Zhang}, J. Approx. Theory 213, 92--119 (2017; Zbl 1377.33009) Full Text: DOI arXiv
Ignjatović, Aleksandar Asymptotic behaviour of some families of orthonormal polynomials and an associated Hilbert space. (English) Zbl 1346.42033 J. Approx. Theory 210, 41-79 (2016). MSC: 42C05 41A60 42A75 PDFBibTeX XMLCite \textit{A. Ignjatović}, J. Approx. Theory 210, 41--79 (2016; Zbl 1346.42033) Full Text: DOI arXiv
Aptekarev, A. I.; Geronimo, J. S. Measures for orthogonal polynomials with unbounded recurrence coefficients. (English) Zbl 1343.42037 J. Approx. Theory 207, 339-347 (2016). Reviewer: M. Abdessadek Saib (Tebessa) MSC: 42C05 41A60 PDFBibTeX XMLCite \textit{A. I. Aptekarev} and \textit{J. S. Geronimo}, J. Approx. Theory 207, 339--347 (2016; Zbl 1343.42037) Full Text: DOI arXiv
Aldenhoven, Noud; Koelink, Erik; de los Ríos, Ana M. Matrix-valued little \(q\)-Jacobi polynomials. (English) Zbl 1318.33012 J. Approx. Theory 193, 164-183 (2015). Reviewer: Małgorzata Michalska (Lublin) MSC: 33C45 33C47 42C05 PDFBibTeX XMLCite \textit{N. Aldenhoven} et al., J. Approx. Theory 193, 164--183 (2015; Zbl 1318.33012) Full Text: DOI arXiv
Alsulami, Saud M.; Nevai, Paul; Szabados, József; Van Assche, Walter A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions. (English) Zbl 1314.39017 J. Approx. Theory 193, 39-55 (2015). MSC: 39A22 65Q10 65Q30 PDFBibTeX XMLCite \textit{S. M. Alsulami} et al., J. Approx. Theory 193, 39--55 (2015; Zbl 1314.39017) 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
Wan, James; Zudilin, Wadim Generating functions of Legendre polynomials: a tribute to Fred Brafman. (English) Zbl 1282.33015 J. Approx. Theory 170, 198-213 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 11B83 65Q30 PDFBibTeX XMLCite \textit{J. Wan} and \textit{W. Zudilin}, J. Approx. Theory 170, 198--213 (2013; Zbl 1282.33015) 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
Bender, Martin; Delvaux, Steven; Kuijlaars, Arno B. J. Multiple Meixner-Pollaczek polynomials and the six-vertex model. (English) Zbl 1227.82013 J. Approx. Theory 163, No. 11, 1606-1637 (2011). MSC: 82B20 33C45 41A60 41A10 PDFBibTeX XMLCite \textit{M. Bender} et al., J. Approx. Theory 163, No. 11, 1606--1637 (2011; Zbl 1227.82013) Full Text: DOI arXiv
Van Assche, Walter Nearest neighbor recurrence relations for multiple orthogonal polynomials. (English) Zbl 1231.33014 J. Approx. Theory 163, No. 10, 1427-1448 (2011). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{W. Van Assche}, J. Approx. Theory 163, No. 10, 1427--1448 (2011; Zbl 1231.33014) 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
Peherstorfer, Franz Orthogonal polynomials on several intervals: accumulation points of recurrence coefficients and of zeros. (English) Zbl 1225.33010 J. Approx. Theory 163, No. 7, 814-837 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42C05 41A50 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Approx. Theory 163, No. 7, 814--837 (2011; Zbl 1225.33010) Full Text: DOI arXiv
Zhang, Lun; Román, Pablo The asymptotic zero distribution of multiple orthogonal polynomials associated with Macdonald functions. (English) Zbl 1259.33020 J. Approx. Theory 163, No. 2, 143-162 (2011). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 33C10 62E20 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{P. Román}, J. Approx. Theory 163, No. 2, 143--162 (2011; Zbl 1259.33020) Full Text: DOI arXiv
de Jesus, M. N.; Petronilho, J. On orthogonal polynomials obtained via polynomial mappings. (English) Zbl 1209.42018 J. Approx. Theory 162, No. 12, 2243-2277 (2010). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{M. N. de Jesus} and \textit{J. Petronilho}, J. Approx. Theory 162, No. 12, 2243--2277 (2010; Zbl 1209.42018) Full Text: DOI
Chen, Yang; Dai, Dan Painlevé V and a Pollaczek-Jacobi type orthogonal polynomials. (English) Zbl 1221.33015 J. Approx. Theory 162, No. 12, 2149-2167 (2010). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C45 37K10 65Q30 34M55 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{D. Dai}, J. Approx. Theory 162, No. 12, 2149--2167 (2010; Zbl 1221.33015) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Román, P. Recurrence relations and vector equilibrium problems arising from a model of non-intersecting squared Bessel paths. (English) Zbl 1210.33018 J. Approx. Theory 162, No. 11, 2048-2077 (2010). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C45 33C10 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} and \textit{P. Román}, J. Approx. Theory 162, No. 11, 2048--2077 (2010; Zbl 1210.33018) 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
Barrio, Roberto; Peña, Juan Manuel; Sauer, Tomas Three term recurrence for the evaluation of multivariate orthogonal polynomials. (English) Zbl 1190.33011 J. Approx. Theory 162, No. 2, 407-420 (2010). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 33C50 PDFBibTeX XMLCite \textit{R. Barrio} et al., J. Approx. Theory 162, No. 2, 407--420 (2010; Zbl 1190.33011) Full Text: DOI
Branquinho, A.; Foulquié Moreno, A.; Marcellán, F.; Rebocho, M. N. Coherent pairs of linear functionals on the unit circle. (English) Zbl 1149.42013 J. Approx. Theory 153, No. 1, 122-137 (2008). MSC: 42C05 PDFBibTeX XMLCite \textit{A. Branquinho} et al., J. Approx. Theory 153, No. 1, 122--137 (2008; Zbl 1149.42013) Full Text: DOI Link
Aptekarev, A. I.; Geronimo, J. S.; Van Assche, W. Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients. (English) Zbl 1143.42027 J. Approx. Theory 150, No. 2, 214-238 (2008). Reviewer: Stamatis Koumandos (Nicosia) MSC: 42C05 33C47 74Gxx 31-XX PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., J. Approx. Theory 150, No. 2, 214--238 (2008; Zbl 1143.42027) Full Text: DOI
Aldaz, J. M.; Kounchev, O.; Render, H. On real-analytic recurrence relations for cardinal exponential B-splines. (English) Zbl 1124.41005 J. Approximation Theory 145, No. 2, 253-265 (2007). Reviewer: Juri M. Rappoport (Moskva) MSC: 41A15 35J40 31B30 PDFBibTeX XMLCite \textit{J. M. Aldaz} et al., J. Approx. Theory 145, No. 2, 253--265 (2007; Zbl 1124.41005) Full Text: DOI Link
Levin, E.; Lubinsky, D. S. On recurrence coefficients for rapidly decreasing exponential weights. (English) Zbl 1110.33003 J. Approximation Theory 144, No. 2, 260-281 (2007). Reviewer: Leonid Golinskii (Kharkov) MSC: 33C45 41A10 42C05 PDFBibTeX XMLCite \textit{E. Levin} and \textit{D. S. Lubinsky}, J. Approx. Theory 144, No. 2, 260--281 (2007; Zbl 1110.33003) Full Text: DOI
Eisinberg, A.; Fedele, G. Discrete orthogonal polynomials on Gauss-Lobatto Chebyshev nodes. (English) Zbl 1117.65040 J. Approximation Theory 144, No. 2, 238-246 (2007). Reviewer: R. B. Paris (Dundee) MSC: 65D20 33C45 33F05 PDFBibTeX XMLCite \textit{A. Eisinberg} and \textit{G. Fedele}, J. Approx. Theory 144, No. 2, 238--246 (2007; Zbl 1117.65040) Full Text: DOI
Aptekarev, A. I.; Kalyagin, V.; López Lagomasino, G.; Rocha, I. A. On the limit behavior of recurrence coefficients for multiple orthogonal polynomials. (English) Zbl 1140.42011 J. Approx. Theory 139, No. 1-2, 346-370 (2006). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 47B36 PDFBibTeX XMLCite \textit{A. I. Aptekarev} et al., J. Approx. Theory 139, No. 1--2, 346--370 (2006; Zbl 1140.42011) Full Text: DOI Link
Golinskii, Leonid Lieb-Thirring and Bargmann-type inequalities for circular arc. (English) Zbl 1100.42020 J. Approximation Theory 139, No. 1-2, 65-74 (2006). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 PDFBibTeX XMLCite \textit{L. Golinskii}, J. Approx. Theory 139, No. 1--2, 65--74 (2006; Zbl 1100.42020) Full Text: DOI
Cichoń, Dariusz; Stochel, Jan; Szafraniec, Franciszek Hugon Three term recurrence relation modulo ideal and orthogonality of polynomials of several variables. (English) Zbl 1070.42013 J. Approximation Theory 134, No. 1, 11-64 (2005). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 47B15 47B25 PDFBibTeX XMLCite \textit{D. Cichoń} et al., J. Approx. Theory 134, No. 1, 11--64 (2005; Zbl 1070.42013) Full Text: DOI
Matala-aho, Tapani On the values of continued fractions: \(q\)-series. (English) Zbl 1038.30004 J. Approximation Theory 124, No. 2, 139-153 (2003). Reviewer: Michael M. Pahirya (Uzhgorod) MSC: 33D15 11A55 11B65 30B70 PDFBibTeX XMLCite \textit{T. Matala-aho}, J. Approx. Theory 124, No. 2, 139--153 (2003; Zbl 1038.30004) Full Text: DOI
Szwarc, Ryszard Sharp estimates for Jacobi matrices and chain sequences. II. (English) Zbl 1038.42027 J. Approximation Theory 125, No. 2, 295-302 (2003). Reviewer: Fozi Dannan (Doha) MSC: 42C05 47B39 PDFBibTeX XMLCite \textit{R. Szwarc}, J. Approx. Theory 125, No. 2, 295--302 (2003; Zbl 1038.42027) Full Text: DOI
de Boor, Carl; Pinkus, Allan The B-spline recurrence relations of Chakalov and of Popoviciu. (English) Zbl 1028.41009 J. Approximation Theory 124, No. 1, 115-123 (2003). Reviewer: Martin D.Buhmann (Giessen) MSC: 41A15 PDFBibTeX XMLCite \textit{C. de Boor} and \textit{A. Pinkus}, J. Approx. Theory 124, No. 1, 115--123 (2003; Zbl 1028.41009) 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
Denisov, Sergey A.; Simon, Barry Zeros of orthogonal polynomials on the real line. (English) Zbl 1031.42022 J. Approximation Theory 121, No. 2, 357-364 (2003). Reviewer: Stamatis Koumandos (Nicosia) MSC: 42C05 26C10 PDFBibTeX XMLCite \textit{S. A. Denisov} and \textit{B. Simon}, J. Approx. Theory 121, No. 2, 357--364 (2003; Zbl 1031.42022) Full Text: DOI arXiv
Zhao, Huan-xi; Zhu, Gongqin Matrix-valued continued fractions. (English) Zbl 1034.41017 J. Approximation Theory 120, No. 1, 136-152 (2003). MSC: 41A20 65D05 65F30 PDFBibTeX XMLCite \textit{H.-x. Zhao} and \textit{G. Zhu}, J. Approx. Theory 120, No. 1, 136--152 (2003; Zbl 1034.41017) Full Text: DOI
Szwarc, Ryszard Sharp estimates for Jacobi matrices and chain sequences. (English) Zbl 1015.15013 J. Approximation Theory 118, No. 1, 94-105 (2002). Reviewer: Fozi Dannan (Doha) MSC: 15A45 15A60 15B57 PDFBibTeX XMLCite \textit{R. Szwarc}, J. Approx. Theory 118, No. 1, 94--105 (2002; Zbl 1015.15013) Full Text: DOI Link
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
Duran, A. J.; Saff, E. B. Zero location for nonstandard orthogonal polynomials. (English) Zbl 1011.42013 J. Approximation Theory 113, No. 1, 127-141 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 30C15 PDFBibTeX XMLCite \textit{A. J. Duran} and \textit{E. B. Saff}, J. Approx. Theory 113, No. 1, 127--141 (2001; Zbl 1011.42013) Full Text: DOI Link
Ismail, Mourad E. H.; Witte, Nicholas S. Discriminants and functional equations for polynomials orthogonal on the unit circle. (English) Zbl 0982.33004 J. Approximation Theory 110, No. 2, 200-228 (2001). Reviewer: Wolfram Koepf (Kassel) MSC: 33C47 33D45 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{N. S. Witte}, J. Approx. Theory 110, No. 2, 200--228 (2001; Zbl 0982.33004) Full Text: DOI arXiv
Cantero, María José; Marcellán, Francisco; Moral, Leandro A class of nonsymmetric orthogonal polynomials on the unit circle. (English) Zbl 0985.42015 J. Approximation Theory 109, No. 1, 30-47 (2001). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 PDFBibTeX XMLCite \textit{M. J. Cantero} et al., J. Approx. Theory 109, No. 1, 30--47 (2001; Zbl 0985.42015) Full Text: DOI
Smirnova, Mirta Castro Determinacy of bounded complex perturbations of Jacobi matrices. (English) Zbl 0974.47010 J. Approximation Theory 104, No. 2, 345-351 (2000). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 47A55 40A15 PDFBibTeX XMLCite \textit{M. C. Smirnova}, J. Approx. Theory 104, No. 2, 345--351 (2000; Zbl 0974.47010) 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
Noschese, S.; Pasquini, L. On the nonnegative solution of a Freud three-term recurrence. (English) Zbl 0955.42013 J. Approximation Theory 99, No. 1, 54-67 (1999). Reviewer: H.-J.Glaeske (Jena) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{S. Noschese} and \textit{L. Pasquini}, J. Approx. Theory 99, No. 1, 54--67 (1999; Zbl 0955.42013) Full Text: DOI
Osilenker, Boris P. Trace formula for orthogonal polynomials with asymptotically 2-periodic recurrence coefficients. (English) Zbl 0906.42012 J. Approximation Theory 92, No. 3, 442-462 (1998). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 PDFBibTeX XMLCite \textit{B. P. Osilenker}, J. Approx. Theory 92, No. 3, 442--462 (1998; Zbl 0906.42012) Full Text: DOI
Pituk, Mihály Asymptotic behavior of a Poincaré recurrence system. (English) Zbl 0892.39008 J. Approximation Theory 91, No. 2, 226-243 (1997). Reviewer: R.P.Agarwal (Lucknow) MSC: 39A11 PDFBibTeX XMLCite \textit{M. Pituk}, J. Approx. Theory 91, No. 2, 226--243 (1997; Zbl 0892.39008) Full Text: DOI
Sorokin, Vladimir N.; Van Iseghem, Jeannette Algebraic aspects of matrix orthogonality for vector polynomials. (English) Zbl 0953.42013 J. Approximation Theory 90, No. 1, 97-116 (1997). MSC: 42C05 PDFBibTeX XMLCite \textit{V. N. Sorokin} and \textit{J. Van Iseghem}, J. Approx. Theory 90, No. 1, 97--116 (1997; Zbl 0953.42013) Full Text: DOI
Ifantis, Eyangelos K. A criterion for the nonuniqueness of the measure of orthogonality. (English) Zbl 0884.42018 J. Approximation Theory 89, No. 2, 207-218 (1997). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 42C05 47A57 30E05 47B25 PDFBibTeX XMLCite \textit{E. K. Ifantis}, J. Approx. Theory 89, No. 2, 207--218 (1997; Zbl 0884.42018) Full Text: DOI
Duran, Antonio J.; Lopez-Rodriguez, Pedro Orthogonal matrix polynomials: zeros and Blumenthal’s theorem. (English) Zbl 0861.42016 J. Approximation Theory 84, No. 1, 96-118 (1996). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 41A55 47A56 PDFBibTeX XMLCite \textit{A. J. Duran} and \textit{P. Lopez-Rodriguez}, J. Approx. Theory 84, No. 1, 96--118 (1996; Zbl 0861.42016) Full Text: DOI
Ismail, Mourad E. H.; Masson, David R. Generalized orthogonality and continued fractions. (English) Zbl 0846.33005 J. Approximation Theory 83, No. 1, 1-40 (1995). Reviewer: M.G.de Bruin (Delft) MSC: 33C20 33C45 33D20 42C05 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{D. R. Masson}, J. Approx. Theory 83, No. 1, 1--40 (1995; Zbl 0846.33005) Full Text: DOI arXiv
Szwarc, Ryszard Uniform subexponential growth of orthogonal polynomials. (English) Zbl 0828.42011 J. Approximation Theory 81, No. 2, 296-302 (1995). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 PDFBibTeX XMLCite \textit{R. Szwarc}, J. Approx. Theory 81, No. 2, 296--302 (1995; Zbl 0828.42011) Full Text: DOI Link
Golinskii, Leonid B. Reflection coefficients for the generalized Jacobi weight functions. (English) Zbl 0814.42013 J. Approximation Theory 78, No. 1, 117-126 (1994). Reviewer: V.Totik (Szeged) MSC: 42C05 PDFBibTeX XMLCite \textit{L. B. Golinskii}, J. Approx. Theory 78, No. 1, 117--126 (1994; Zbl 0814.42013) Full Text: DOI
Berg, Christian Markov’s theorem revisited. (English) Zbl 0810.42014 J. Approximation Theory 78, No. 2, 260-275 (1994). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 30E05 47A57 PDFBibTeX XMLCite \textit{C. Berg}, J. Approx. Theory 78, No. 2, 260--275 (1994; Zbl 0810.42014) Full Text: DOI
Belmehdi, S.; Ronveaux, A. Laguerre-Freud’s equations for the recurrence coefficients of semi- classical orthogonal polynomials. (English) Zbl 0802.42022 J. Approximation Theory 76, No. 3, 351-368 (1994). Reviewer: W.van Assche (Heverlee) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{S. Belmehdi} and \textit{A. Ronveaux}, J. Approx. Theory 76, No. 3, 351--368 (1994; Zbl 0802.42022) 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
Jones, William B.; Thron, W. J.; Wyshinski, Nancy J. Asymptotic behavior of polynomials satisfying three-term recurrence relations. (English) Zbl 0767.40002 J. Approximation Theory 71, No. 1, 67-93 (1992). Reviewer: W.Van Assche (Heverlee) MSC: 40A15 30B70 33C45 42C05 PDFBibTeX XMLCite \textit{W. B. Jones} et al., J. Approx. Theory 71, No. 1, 67--93 (1992; Zbl 0767.40002) Full Text: DOI
Peherstorfer, Franz On Bernstein-Szegö orthogonal polynomials on several intervals. II: Orthogonal polynomials with periodic recurrence coefficients. (English) Zbl 0721.42017 J. Approximation Theory 64, No. 2, 123-161 (1991). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Approx. Theory 64, No. 2, 123--161 (1991; Zbl 0721.42017) Full Text: DOI
Mercer, A. McD. A note on the zero distribution of orthogonal polynomials. (English) Zbl 0721.42016 J. Approximation Theory 64, No. 2, 238-242 (1991). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 26C10 PDFBibTeX XMLCite \textit{A. McD. Mercer}, J. Approx. Theory 64, No. 2, 238--242 (1991; Zbl 0721.42016) Full Text: DOI
Nevai, Paul; Zhang, John; Totik, Vilmos Orthogonal polynomials: Their growth relative to their sums. (English) Zbl 0754.42013 J. Approximation Theory 67, No. 2, 215-234 (1991). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 40A05 PDFBibTeX XMLCite \textit{P. Nevai} et al., J. Approx. Theory 67, No. 2, 215--234 (1991; Zbl 0754.42013) Full Text: DOI
Geronimo, J. S.; Van Assche, Walter Approximating the weight function for orthogonal polynomials on several intervals. (English) Zbl 0774.42015 J. Approximation Theory 65, No. 3, 341-371 (1991). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{W. Van Assche}, J. Approx. Theory 65, No. 3, 341--371 (1991; Zbl 0774.42015) Full Text: DOI
Draux, A. On quasi-orthogonal polynomials. (English) Zbl 0717.42028 J. Approximation Theory 62, No. 1, 1-14 (1990). Reviewer: W.Van Assche MSC: 42C05 PDFBibTeX XMLCite \textit{A. Draux}, J. Approx. Theory 62, No. 1, 1--14 (1990; Zbl 0717.42028) Full Text: DOI
Máté, Attila; Nevai, Paul A generalization of Poincaré’s theorem for recurrence equations. (English) Zbl 0715.34131 J. Approximation Theory 63, No. 1, 92-97 (1990). Reviewer: Yu.V.Rogovchenko MSC: 34K25 34E05 39A10 PDFBibTeX XMLCite \textit{A. Máté} and \textit{P. Nevai}, J. Approx. Theory 63, No. 1, 92--97 (1990; Zbl 0715.34131) Full Text: DOI
Ifantis, E. K.; Siafarikas, P. D. A result on the imaginary zeros of \(J''_{\nu}(z)\). (English) Zbl 0704.33003 J. Approximation Theory 62, No. 2, 192-196 (1990). Reviewer: A.Laforgia MSC: 33C10 PDFBibTeX XMLCite \textit{E. K. Ifantis} and \textit{P. D. Siafarikas}, J. Approx. Theory 62, No. 2, 192--196 (1990; Zbl 0704.33003) Full Text: DOI
Boukhemis, A.; Maroni, P. Une caractérisation des polynômes strictement 1/p orthogonaux de type Scheffer. Étude du cas \(p=2\). (A characterization of strictly 1/p orthogonal polynomials of Scheffer type). (French) Zbl 0662.42018 J. Approximation Theory 54, No. 1, 67-91 (1988). Reviewer: G.López Lagomasino MSC: 42C05 PDFBibTeX XMLCite \textit{A. Boukhemis} and \textit{P. Maroni}, J. Approx. Theory 54, No. 1, 67--91 (1988; Zbl 0662.42018) Full Text: DOI
Van Assche, Walter Asymptotic properties of orthogonal polynomials from their recurrence formula. II. (English) Zbl 0643.42019 J. Approximation Theory 52, No. 3, 322-338 (1988). Reviewer: A.N.Srivastava MSC: 42C05 33C45 33E05 PDFBibTeX XMLCite \textit{W. Van Assche}, J. Approx. Theory 52, No. 3, 322--338 (1988; Zbl 0643.42019) Full Text: DOI
van Doorn, Erik A. Representations and bounds for zeros of orthogonal polynomials and eigenvalues of sign-symmetric tri-diagonal matrices. (English) Zbl 0636.42023 J. Approximation Theory 51, 254-266 (1987). Reviewer: G.Lopez Lagomasino MSC: 42C05 PDFBibTeX XMLCite \textit{E. A. van Doorn}, J. Approx. Theory 51, 254--266 (1987; Zbl 0636.42023) Full Text: DOI Link
Gautschi, Walter; Milovanović, Gradimir V. Polynomials orthogonal on the semicircle. (English) Zbl 0604.42024 J. Approximation Theory 46, 230-250 (1986). Reviewer: A.N.Srivastava MSC: 42C05 33C45 33C55 30C15 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, J. Approx. Theory 46, 230--250 (1986; Zbl 0604.42024) Full Text: DOI
Geronimo, J. S.; Van Assche, Walter Orthogonal polynomials with asymptotically periodic recurrent coefficients. (English) Zbl 0604.42023 J. Approximation Theory 46, 251-283 (1986). Reviewer: A.N.Srivastava MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{W. Van Assche}, J. Approx. Theory 46, 251--283 (1986; Zbl 0604.42023) Full Text: DOI
Freud, Géza On the greatest zero of an orthogonal polynomial. (English) Zbl 0603.42022 J. Approximation Theory 46, 16-24 (1986). Reviewer: M.G.de Bruin MSC: 42C05 33C45 30C15 26C10 PDFBibTeX XMLCite \textit{G. Freud}, J. Approx. Theory 46, 16--24 (1986; Zbl 0603.42022) Full Text: DOI
Gilewicz, J.; Leopold, E. Location of the zeros of polynomials satisfying three-term recurrence relations. I. General case with complex coefficients. (English) Zbl 0606.30007 J. Approximation Theory 43, 1-14 (1985). MSC: 30C15 30C10 PDFBibTeX XMLCite \textit{J. Gilewicz} and \textit{E. Leopold}, J. Approx. Theory 43, 1--14 (1985; Zbl 0606.30007) Full Text: DOI
Van Assche, Walter Asymptotic properties of orthogonal polynomials from their recurrence formula. I. (English) Zbl 0583.42011 J. Approximation Theory 44, 258-276 (1985). MSC: 42C05 PDFBibTeX XMLCite \textit{W. Van Assche}, J. Approx. Theory 44, 258--276 (1985; Zbl 0583.42011) Full Text: DOI
Leopold, E. Location of the zeros of polynomials satisfying three-term recurrence relations. III. Positive coefficients case. (English) Zbl 0576.41006 J. Approximation Theory 43, 15-24 (1985). MSC: 41A10 PDFBibTeX XMLCite \textit{E. Leopold}, J. Approx. Theory 43, 15--24 (1985; Zbl 0576.41006) Full Text: DOI
Koch, Per Erik An extension of the theory of orthogonal polynomials and Gaussian quadrature to trigonometric and hyperbolic polynomials. (English) Zbl 0564.42014 J. Approximation Theory 43, 157-177 (1985). Reviewer: L.Leindler MSC: 42C15 PDFBibTeX XMLCite \textit{P. E. Koch}, J. Approx. Theory 43, 157--177 (1985; Zbl 0564.42014) Full Text: DOI
Lew, John S.; Quarles, Donald A. jun. Nonnegative solutions of a nonlinear recurrence. (English) Zbl 0518.42029 J. Approximation Theory 38, 357-379 (1983). MSC: 42C10 65D99 PDFBibTeX XMLCite \textit{J. S. Lew} and \textit{D. A. Quarles jun.}, J. Approx. Theory 38, 357--379 (1983; Zbl 0518.42029) Full Text: DOI
Hoellig, K. A remark on multivariate B-splines. (English) Zbl 0484.41014 J. Approximation Theory 33, 119-125 (1981). MSC: 41A15 41A63 PDFBibTeX XMLCite \textit{K. Hoellig}, J. Approx. Theory 33, 119--125 (1981; Zbl 0484.41014) Full Text: DOI