Van Assche, Walter Chebyshev polynomials in the 16th century. (English) Zbl 1505.33007 J. Approx. Theory 279, Article ID 105767, 15 p. (2022). MSC: 33C45 01A40 01A45 42C05 PDFBibTeX XMLCite \textit{W. Van Assche}, J. Approx. Theory 279, Article ID 105767, 15 p. (2022; Zbl 1505.33007) Full Text: DOI arXiv
Butzer, Paul L.; Koornwinder, Tom H. Josef Meixner: his life and his orthogonal polynomials. (English) Zbl 1405.33010 Indag. Math., New Ser. 30, No. 1, 250-264 (2019). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33C45 33D45 42C05 33C47 01A60 PDFBibTeX XMLCite \textit{P. L. Butzer} and \textit{T. H. Koornwinder}, Indag. Math., New Ser. 30, No. 1, 250--264 (2019; Zbl 1405.33010) Full Text: DOI arXiv
Totik, V. Barry Simon and the János Bolyai international mathematical prize. (English) Zbl 1399.42073 Acta Math. Hung. 149, No. 2, 263-273 (2016). MSC: 42C05 33C47 42-03 01A60 01A61 PDFBibTeX XMLCite \textit{V. Totik}, Acta Math. Hung. 149, No. 2, 263--273 (2016; Zbl 1399.42073) Full Text: DOI Link
Notaris, Sotirios E. Gauss-Kronrod quadrature formulae. A survey of fifty years of research. (English) Zbl 1355.65045 ETNA, Electron. Trans. Numer. Anal. 45, 371-404 (2016). MSC: 65D32 33C45 41A55 41A80 65-03 01A60 PDFBibTeX XMLCite \textit{S. E. Notaris}, ETNA, Electron. Trans. Numer. Anal. 45, 371--404 (2016; Zbl 1355.65045) Full Text: EMIS
Viskov, O. V.; Khokhlov, V. I. Four areas of Yu. V. Prokhorov’s studies and their perspectives. (English. Russian original) Zbl 1381.60007 Theory Probab. Appl. 60, No. 2, 336-342 (2016); translation from Teor. Veroyatn. Primen. 60, No. 2, 383-390 (2015). MSC: 60-03 01A60 01A61 01A70 60F17 62E20 PDFBibTeX XMLCite \textit{O. V. Viskov} and \textit{V. I. Khokhlov}, Theory Probab. Appl. 60, No. 2, 336--342 (2016; Zbl 1381.60007); translation from Teor. Veroyatn. Primen. 60, No. 2, 383--390 (2015) Full Text: DOI
Koornwinder, Tom H. Representations of SU(2) and Jacobi polynomials. arXiv:1606.08189 Preprint, arXiv:1606.08189 [math.CA] (2016). MSC: 33C45 33C80 33-01 22E45 22-01 33-03 01A60 BibTeX Cite \textit{T. H. Koornwinder}, ``Representations of SU(2) and Jacobi polynomials'', Preprint, arXiv:1606.08189 [math.CA] (2016) Full Text: arXiv OA License
Macdonald, I. G. [Zelevinsky, A. V.] Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. (English) Zbl 1332.05002 Oxford Classic Texts in the Physical Sciences. Oxford: Oxford University Press (ISBN 978-0-19-873912-8/pbk). xii, 475 p. (2015). Reviewer: Matthew Davis (New Concord) MSC: 05-02 05E05 01A75 33D52 PDFBibTeX XMLCite \textit{I. G. Macdonald}, Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Oxford: Oxford University Press (2015; Zbl 1332.05002)
Totik, Vilmos Erdős on polynomials. (English) Zbl 1295.42010 Lovász, László (ed.) et al., Erdős centennial. On the occasion of Paul Erdős 100th anniversary of his birth. Berlin: Springer; Budapest: János Bolyai Mathematical Society (ISBN 978-3-642-39285-6/hbk; 978-3-642-39286-3/ebook). Bolyai Society Mathematical Studies 25, 683-709 (2013). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 41A10 01A70 11C08 26C10 30C10 30C15 41-02 41-03 PDFBibTeX XMLCite \textit{V. Totik}, Bolyai Soc. Math. Stud. 25, 683--709 (2013; Zbl 1295.42010) Full Text: DOI Link
Maligranda, Lech Józef Marcinkiewicz (1910–1940) – on the centenary of his birth. (English) Zbl 1239.01097 Nawrocki, Marek (ed.) et al., Marcinkiewicz centenary volume. Proceedings of the Józef Marcinkiewicz centenary conference, June 28–July 2, 2010. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-14-0/pbk). Banach Center Publications 95, 133-234 (2011). Reviewer: Roman Duda (Wrocław) MSC: 01A70 46E30 46B70 28A15 60E15 46B09 60E10 60F15 42B15 26D05 41A10 26D15 01A60 PDFBibTeX XMLCite \textit{L. Maligranda}, Banach Cent. Publ. 95, 133--234 (2011; Zbl 1239.01097) Full Text: DOI
Gautschi, Walter The spiral of Theodorus, numerical analysis, and special functions. (English) Zbl 1201.01004 J. Comput. Appl. Math. 235, No. 4, 1042-1052 (2010). MSC: 01A20 30E05 33C47 51-03 65B10 65D30 65D32 PDFBibTeX XMLCite \textit{W. Gautschi}, J. Comput. Appl. Math. 235, No. 4, 1042--1052 (2010; Zbl 1201.01004) Full Text: DOI
Parasyuk, O.; Virchenko, N. Brief survey of the mathematical legacy of Academician M. Kravchuk. (English) Zbl 1176.01016 Fract. Calc. Appl. Anal. 12, No. 2, 115-134 (2009). Reviewer: Roman Duda (Wrocław) MSC: 01A70 11-03 15-03 30D30 33C45 34A30 60E05 PDFBibTeX XMLCite \textit{O. Parasyuk} and \textit{N. Virchenko}, Fract. Calc. Appl. Anal. 12, No. 2, 115--134 (2009; Zbl 1176.01016)
Foata, Dominique A combinatorial method for the study of special functions. (Une méthode combinatoire pour l’étude des fonctions spéciales.) (French. English, French summaries) Zbl 1180.05008 Math. Sci. Hum., Math. Soc. Sci. 179, 85-99 (2007). MSC: 05A15 01A60 05A19 33C45 PDFBibTeX XMLCite \textit{D. Foata}, Math. Sci. Hum., Math. Soc. Sci. 179, 85--99 (2007; Zbl 1180.05008) Full Text: DOI Link
Khrushchev, Sergey Orthogonal polynomials: the first minutes. (English) Zbl 1141.30001 Gesztesy, Fritz (ed.) et al., Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4249-2/pt.2; 978-0-8218-3783-2/set). Proceedings of Symposia in Pure Mathematics 76, Pt. 2, 875-905 (2007). Reviewer: Peter Wynn (Zacatecas) MSC: 30B70 01A45 33B15 33C47 33D45 PDFBibTeX XMLCite \textit{S. Khrushchev}, Proc. Symp. Pure Math. 76, 875--905 (2007; Zbl 1141.30001)
Golub, Gene H. Chan, Raymond H. (ed.); Greif, Chen (ed.); O’Leary, Dianne P. (ed.) [Greenbaum, Anne; Björk, Åke; Higham, Nicholas; Gautschi, Walter; Stewart, G. W.] Milestones in matrix computation. The selected works of Gene H. Golub. With commentaries by Anne Greenbaum, Åke Björk, Nicholas Higham, Walter Gautschi and G. W. Stewart. Edited by Raymond H. Chan, Chen Greif, and Dianne P. O’Leary. (English) Zbl 1121.65031 Oxford: Oxford University Press (ISBN 978-0-19-920681-0/hbk). xi, 565 p. (2007). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F10 01A75 65F20 65F30 65F15 65D32 01A60 65-03 PDFBibTeX XMLCite \textit{G. H. Golub} et al., Milestones in matrix computation. The selected works of Gene H. Golub. With commentaries by Anne Greenbaum, Åke Björk, Nicholas Higham, Walter Gautschi and G. W. Stewart. Edited by Raymond H. Chan, Chen Greif, and Dianne P. O'Leary. Oxford: Oxford University Press (2007; Zbl 1121.65031)
Akhieser, N. I. General theory of the P. L. Tchebycheff polynomials. Translated from the 1945 Russian original by B. Bojanov and G. Nikolov. (English) Zbl 1487.42001 East J. Approx. 12, No. 2, 211-259 (2006). MSC: 42-02 42-03 01A60 42C05 33C45 33C47 33C52 PDFBibTeX XMLCite \textit{N. I. Akhieser}, East J. Approx. 12, No. 2, 211--259 (2006; Zbl 1487.42001)
Khrushchev, Sergey A recovery of Brouncker’s proof for the quadrature continued fraction. (English) Zbl 1128.30007 Publ. Mat., Barc. 50, No. 1, 3-42 (2006). Reviewer: Richard A. Mollin (Calgary) MSC: 30B70 01A45 11A55 33B15 33C47 33D45 PDFBibTeX XMLCite \textit{S. Khrushchev}, Publ. Mat., Barc. 50, No. 1, 3--42 (2006; Zbl 1128.30007) Full Text: DOI EuDML
Szabados, József Orthogonal polynomials. (English) Zbl 1101.33010 Horváth, János (ed.), A panorama of Hungarian mathematics in the twentieth century. I. Berlin: Springer (ISBN 3-540-28945-3/hbk). Bolyai Society Mathematical Studies 14, 55-70 (2006). Reviewer: Francisco Perez Acosta (La Laguna) MSC: 33C45 33-03 01A60 PDFBibTeX XMLCite \textit{J. Szabados}, Bolyai Soc. Math. Stud. 14, 55--70 (2006; Zbl 1101.33010)
Aharonov, Dov; Beardon, Alan; Driver, Kathy Fibonacci, Chebyshev, and orthogonal polynomials. (English) Zbl 1138.11308 Am. Math. Mon. 112, No. 7, 612-630 (2005). MSC: 11B39 01A35 01A45 01A55 33C45 PDFBibTeX XMLCite \textit{D. Aharonov} et al., Am. Math. Mon. 112, No. 7, 612--630 (2005; Zbl 1138.11308) Full Text: DOI
Ronveaux, André; Mawhin, Jean Rediscovering the contributions of Rodrigues on the representation of special functions. (English) Zbl 1083.33008 Expo. Math. 23, No. 4, 361-369 (2005). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 01A55 PDFBibTeX XMLCite \textit{A. Ronveaux} and \textit{J. Mawhin}, Expo. Math. 23, No. 4, 361--369 (2005; Zbl 1083.33008) Full Text: DOI
Esposito, Salvatore (ed.); Majorana, Ettore jun. (ed.); van der Merve, Alwyn (ed.); Recami, Erasmo (ed.) Ettore Majorana: Notes on theoretical physics. (English) Zbl 1041.81001 Fundamental Theories of Physics 133. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1649-2/hbk). xxv, 484 p. (2003). Reviewer: A. A. Bogush (Minsk) MSC: 81-01 81-03 01A75 81Qxx 81Rxx 33C45 70Hxx 80Axx 82B30 81Vxx PDFBibTeX XMLCite \textit{S. Esposito} (ed.) et al., Ettore Majorana: Notes on theoretical physics. Dordrecht: Kluwer Academic Publishers (2003; Zbl 1041.81001)
Laforgia, Andrea; Muldoon, Martin E.; Siafarikas, Panayiotos D. Árpád Elbert, 1939–2001: A memorial tribute. (English) Zbl 1054.33001 J. Comput. Appl. Math. 153, No. 1-2, 1-8 (2003). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33-03 33-02 01A70 33C10 33C45 PDFBibTeX XMLCite \textit{A. Laforgia} et al., J. Comput. Appl. Math. 153, No. 1--2, 1--8 (2003; Zbl 1054.33001) Full Text: DOI
Seneta, E. Characterization by orthogonal polynomial systems of finite Markov chains. (English) Zbl 1019.60070 J. Appl. Probab. 38A, Spec. Iss., 42-52 (2001). Reviewer: Göran Högnäs (Åbo) MSC: 60J10 33C65 01A60 PDFBibTeX XMLCite \textit{E. Seneta}, J. Appl. Probab. 38A, 42--52 (2001; Zbl 1019.60070) Full Text: DOI Link
Bernstein, S. N. Chebyshev’s influence on the development of mathematics. (Translated by O. Sheynin). (English) Zbl 0991.01018 Math. Sci. 26, No. 2, 63-73 (2001). Reviewer: O.B.Cheinine (Berlin) MSC: 01A70 01A55 01A75 11-03 60-03 30-03 33-03 PDFBibTeX XMLCite \textit{S. N. Bernstein}, Math. Sci. 26, No. 2, 63--73 (2001; Zbl 0991.01018)
Akhiezer, N. I. Selected works on the theory of functions and mathematical physics. Vol. 2. (Избранные труды по теории функций и математической физике. Том 2.) (Russian) Zbl 1044.01015 Klasyka Ukraïns’koï Nauky. Khar’kov: AKTA (ISBN 966-7021-37-8/hbk). 518 p. (2001). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 01A75 PDFBibTeX XMLCite \textit{N. I. Akhiezer}, Избранные труды по теории функций и математической физике. Том 2 (Russian). Khar'kov: AKTA (2001; Zbl 1044.01015)
Chihara, T. S. 45 years of orthogonal polynomials: A view from the wings. (English) Zbl 0993.33001 J. Comput. Appl. Math. 133, No. 1-2, 13-21 (2001). Reviewer: N.M.Temme (Amsterdam) MSC: 33-03 33C45 01A60 42C05 PDFBibTeX XMLCite \textit{T. S. Chihara}, J. Comput. Appl. Math. 133, No. 1--2, 13--21 (2001; Zbl 0993.33001) Full Text: DOI
Golinskii, Leonid On the scientific legacy of Ya. L. Geronimus. (To the hundredth anniversary). (English) Zbl 1018.42013 Priezzhev, V. B. (ed.) et al., Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30-August 7, 1998. Dubna: Joint Institute for Nuclear Research. 273-281 (1999). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 42-03 01A60 PDFBibTeX XMLCite \textit{L. Golinskii}, in: Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30--August 7, 1998. Dubna: Joint Institute for Nuclear Research. 273--281 (1999; Zbl 1018.42013)
Meijer, H. G. A short history of orthogonal polynomials in a Sobolev space. I: The non-discrete case. (English) Zbl 0862.33001 Nieuw Arch. Wiskd., IV. Ser. 14, No. 1, 93-112 (1996). Reviewer: G.López Lagomasino (Leganes) MSC: 33-03 46-03 01A65 PDFBibTeX XMLCite \textit{H. G. Meijer}, Nieuw Arch. Wiskd., IV. Ser. 14, No. 1, 93--112 (1996; Zbl 0862.33001)
Valent, Galliano; Van Assche, Walter The impact of Stieltjes’ work on continued fractions and orthogonal polynomials: Additional material. (English) Zbl 0856.33002 J. Comput. Appl. Math. 65, No. 1-3, 419-447 (1995). Reviewer: H.Stahl (Berlin) MSC: 33-03 33C45 33C20 33-01 01-02 42C05 PDFBibTeX XMLCite \textit{G. Valent} and \textit{W. Van Assche}, J. Comput. Appl. Math. 65, No. 1--3, 419--447 (1995; Zbl 0856.33002) Full Text: DOI
Osilenker, B. P. M. G. Krein’s ideas in the theory of orthogonal polynomials. (English. Russian original) Zbl 0852.42008 Ukr. Math. J. 46, No. 1-2, 75-86 (1994); translation from Ukr. Mat. Zh. 46, No. 1-2, 76-86 (1994). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 42-03 01A60 PDFBibTeX XMLCite \textit{B. P. Osilenker}, Ukr. Math. J. 46, No. 1--2, 75--86 (1994; Zbl 0852.42008); translation from Ukr. Mat. Zh. 46, No. 1--2, 76--86 (1994) Full Text: DOI
Ul’yanov, P. L. The metric theory of functions. (English. Russian original) Zbl 0728.42001 Proc. Steklov Inst. Math. 182, 199-244 (1990); translation from Tr. Mat. Inst. Steklova 182, 180-223 (1988). MSC: 42-03 42A16 42A20 42C10 01A60 30-03 46-03 42A10 42A24 42A32 42A55 42C15 42C20 PDFBibTeX XMLCite \textit{P. L. Ul'yanov}, Proc. Steklov Inst. Math. 182, 199--244 (1990; Zbl 0728.42001); translation from Tr. Mat. Inst. Steklova 182, 180--223 (1988)
Wiener, Norbert [Kahane, Jean-Pierre] The Fourier integral and certain of its applications. Reissued and with a foreword written by Jean-Pierre Kahane. (English) Zbl 0656.42001 Cambridge Mathematical Library. Cambridge (UK) etc.: Cambridge University Press. xvii, 201 p. $ 16.95; £9.95 (1988). Reviewer: Wolfgang Schwarz (Frankfurt / Main) MSC: 42-02 01A75 42A20 42A65 42C05 11N05 40E05 PDFBibTeX XMLCite \textit{N. Wiener}, The Fourier integral and certain of its applications. Reissued and with a foreword written by Jean-Pierre Kahane. Cambridge (UK) etc.: Cambridge University Press (1988; Zbl 0656.42001)
Dieudonné, J. Fractions continuees et polynomes orthogonaux dans l’oeuvre de E. N. Laguerre. (Continued fractions and orthogonal polynomials in the work of E. N. Laguerre). (English) Zbl 0665.42024 Polynômes orthogonaux et applications, Proc. Laguerre Symp., Bar-le- Duc/France 1984, Lect. Notes Math. 1171, 1-15 (1985). Reviewer: Y.Sitaraman MSC: 42C05 40A15 01A55 PDFBibTeX XML
Erdélyi, Arthur (ed.) [Bateman, Harry] Higher transcendental functions. Vol. II. Based, in part, on notes left by Harry Bateman and compiled by the Staff of the Bateman Manuscript Project. (Repr. of the orig. 1953 publ. by McGraw-Hill Book Company, Inc., New York). (English) Zbl 0505.33001 Bateman Manuscript Project, California Institute of Technology. Malabar, Florida: Robert E. Krieger Publishing Company. XVIII, 396 p. $ 28.50 (1981). MSC: 33-02 33C10 33C50 33C55 33E05 33B15 33-03 01A75 PDFBibTeX XML
Meixner, J. Die Bedeutung der Christoffelschen Summenformel für die Entwicklung nach Orthogonalpolynomen. (German) Zbl 0481.33001 E. B. Christoffel: the influence of his work on mathematics and the physical sciences, int. Symp., Aachen 1979, 160-172 (1981). MSC: 33-03 33C45 01A55 42C15 PDFBibTeX XML
Turán, Pál On some open problems of approximation theory. (English) Zbl 0454.41001 J. Approximation Theory 29, 23-89 (1980). MSC: 41-02 41A05 41A20 42C05 33C45 01A75 PDFBibTeX XMLCite \textit{P. Turán}, J. Approx. Theory 29, 23--89 (1980; Zbl 0454.41001) Full Text: DOI
Szabados, Jozsef The mathematical work of Paul Turan. I: 1. Approximation theory. (Hungarian) Zbl 0394.41001 Mat. Lapok 25 (1974), 223-228 (1977). MSC: 41-03 41A05 41A20 41A55 41A25 01A70 PDFBibTeX XMLCite \textit{J. Szabados}, Mat. Lapok 25, 223--228 (1977; Zbl 0394.41001)
Bramhall, J. N. The first fifty years of Walsh functions. (English) Zbl 0271.42014 Appl. Walsh Functions, 1973 Proc., Sympos. Catholic Univ. America Washington, 41-60 (1973). MSC: 42-03 01A60 42C05 94A05 PDFBibTeX XML