Kahler, Stefan Nonnegative and strictly positive linearization of Jacobi and generalized Chebyshev polynomials. (English) Zbl 1494.33005 Constr. Approx. 54, No. 2, 207-236 (2021). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C45 33C47 42C10 PDFBibTeX XMLCite \textit{S. Kahler}, Constr. Approx. 54, No. 2, 207--236 (2021; Zbl 1494.33005) Full Text: DOI arXiv
Guo, Victor J. W.; Schlosser, Michael J. Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series. (English) Zbl 1462.33006 Constr. Approx. 53, No. 1, 155-200 (2021). Reviewer: Enzo Bonacci (Latina) MSC: 33D15 05A10 05A30 11A07 11F33 33D45 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{M. J. Schlosser}, Constr. Approx. 53, No. 1, 155--200 (2021; Zbl 1462.33006) Full Text: DOI arXiv
Simeonov, Plamen; Goldman, Ron A polynomial blossom for the Askey-Wilson operator. (English) Zbl 1428.33036 Constr. Approx. 50, No. 1, 19-43 (2019). Reviewer: Zhi-Guo Liu (Shanghai) MSC: 33D45 30C10 47B39 65D17 PDFBibTeX XMLCite \textit{P. Simeonov} and \textit{R. Goldman}, Constr. Approx. 50, No. 1, 19--43 (2019; Zbl 1428.33036) Full Text: DOI
Rosengren, Hjalmar Rahman’s biorthogonal rational functions and superconformal indices. (English) Zbl 1416.33024 Constr. Approx. 47, No. 3, 529-552 (2018). Reviewer: C. L. Parihar (Indore) MSC: 33D15 33D45 33D60 81T60 PDFBibTeX XMLCite \textit{H. Rosengren}, Constr. Approx. 47, No. 3, 529--552 (2018; Zbl 1416.33024) Full Text: DOI arXiv
Koelink, Erik; de los Ríos, Ana M.; Román, Pablo Matrix-valued Gegenbauer-type polynomials. (English) Zbl 1384.33025 Constr. Approx. 46, No. 3, 459-487 (2017). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C47 33C45 33E30 PDFBibTeX XMLCite \textit{E. Koelink} et al., Constr. Approx. 46, No. 3, 459--487 (2017; Zbl 1384.33025) Full Text: DOI arXiv
Ito, Masahiko; Noumi, Masatoshi Derivation of a \(BC_n\) elliptic summation formula via the fundamental invariants. (English) Zbl 1366.33014 Constr. Approx. 45, No. 1, 33-46 (2017). Reviewer: József Sándor (Cluj-Napoca) MSC: 33D70 39A13 PDFBibTeX XMLCite \textit{M. Ito} and \textit{M. Noumi}, Constr. Approx. 45, No. 1, 33--46 (2017; Zbl 1366.33014) Full Text: DOI arXiv
Komori, Yasushi; Masuda, Yasuho; Noumi, Masatoshi Duality transformation formulas for multiple elliptic hypergeometric series of type \(BC\). (English) Zbl 1358.33014 Constr. Approx. 44, No. 3, 483-516 (2016). Reviewer: Nakazono Nobutaka (Kanagawa) MSC: 33D67 33E05 33E20 PDFBibTeX XMLCite \textit{Y. Komori} et al., Constr. Approx. 44, No. 3, 483--516 (2016; Zbl 1358.33014) Full Text: DOI arXiv
Kahler, Stefan Orthogonal polynomials and point and weak amenability of \(\ell ^1\)-algebras of polynomial hypergroups. (English) Zbl 1332.33015 Constr. Approx. 42, No. 1, 31-63 (2015). Reviewer: Jiří Hrivnák (Praha) MSC: 33C45 33C47 42C05 43A20 43A62 46H20 PDFBibTeX XMLCite \textit{S. Kahler}, Constr. Approx. 42, No. 1, 31--63 (2015; Zbl 1332.33015) Full Text: DOI
Ismail, Mourad E. H.; Simeonov, Plamen Heine representations and monotonicity properties of determinants and Pfaffians. (English) Zbl 1346.15005 Constr. Approx. 41, No. 2, 231-249 (2015). MSC: 15A15 28A25 11C20 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{P. Simeonov}, Constr. Approx. 41, No. 2, 231--249 (2015; Zbl 1346.15005) Full Text: DOI
Li, Yutian; Liu, Saiyu; Xu, Shuaixia; Zhao, Yuqiu Asymptotics of Landau constants with optimal error bounds. (English) Zbl 1321.41046 Constr. Approx. 40, No. 2, 281-305 (2014). Reviewer: Raghib Abu-Saris (Edmonton) MSC: 41A60 PDFBibTeX XMLCite \textit{Y. Li} et al., Constr. Approx. 40, No. 2, 281--305 (2014; Zbl 1321.41046) 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
Fitouhi, Ahmed; Dhaouadi, Lazhar Positivity of the generalized translation associated with the \(q\)-Hankel transform. (English) Zbl 1247.33030 Constr. Approx. 34, No. 3, 453-472 (2011). Reviewer: Roelof Koekoek (Delft) MSC: 33D15 47A05 PDFBibTeX XMLCite \textit{A. Fitouhi} and \textit{L. Dhaouadi}, Constr. Approx. 34, No. 3, 453--472 (2011; Zbl 1247.33030) Full Text: DOI
Berg, Christian; Szwarc, Ryszard The smallest eigenvalue of Hankel matrices. (English) Zbl 1259.15024 Constr. Approx. 34, No. 1, 107-133 (2011). MSC: 15A42 15B05 42C05 44A60 PDFBibTeX XMLCite \textit{C. Berg} and \textit{R. Szwarc}, Constr. Approx. 34, No. 1, 107--133 (2011; Zbl 1259.15024) Full Text: DOI arXiv
Groenevelt, Wolter The vector-valued big \(q\)-Jacobi transform. (English) Zbl 1194.33019 Constr. Approx. 29, No. 1, 85-127 (2009). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33D45 47B25 44A15 47B39 PDFBibTeX XMLCite \textit{W. Groenevelt}, Constr. Approx. 29, No. 1, 85--127 (2009; Zbl 1194.33019) Full Text: DOI arXiv
Chu, Wenchang The Saalschütz chain reactions and bilateral basic hypergeometric series. (English) Zbl 1033.33009 Constructive Approximation 18, No. 4, 579-597 (2002). Reviewer: Y. Ben Cheikh (Monastir) MSC: 33D15 05A30 33D70 PDFBibTeX XMLCite \textit{W. Chu}, Constr. Approx. 18, No. 4, 579--597 (2002; Zbl 1033.33009) Full Text: DOI
Warnaar, S. O. Summation and transformation formulas for elliptic hypergeometric series. (English) Zbl 1040.33013 Constructive Approximation 18, No. 4, 479-502 (2002). Reviewer: N. M. Temme (Amsterdam) MSC: 33D50 33D67 33E05 05A30 33D15 PDFBibTeX XMLCite \textit{S. O. Warnaar}, Constr. Approx. 18, No. 4, 479--502 (2002; Zbl 1040.33013) Full Text: DOI arXiv
Koelink, H. T.; Van Assche, Walter Orthogonal polynomials and Laurent polynomials related to the Hahn-Exton \(q\)-Bessel function. (English) Zbl 0855.33011 Constructive Approximation 11, No. 4, 477-512 (1995). Reviewer: M.G.de Bruin (Delft) MSC: 33D15 42C05 PDFBibTeX XMLCite \textit{H. T. Koelink} and \textit{W. Van Assche}, Constr. Approx. 11, No. 4, 477--512 (1995; Zbl 0855.33011) Full Text: DOI arXiv
Atakishiyev, N. M.; Rahman, M.; Suslov, S. K. On classical orthogonal polynomials. (English) Zbl 0837.33010 Constr. Approx. 11, No. 2, 181-226 (1995). MSC: 33D15 33D45 33C45 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., Constr. Approx. 11, No. 2, 181--226 (1995; Zbl 0837.33010) Full Text: DOI
Markett, Clemens Linearization of the product of symmetric orthogonal polynomials. (English) Zbl 0806.33003 Constructive Approximation 10, No. 3, 317-338 (1994). Reviewer: M.Voit (Tübingen) MSC: 33C45 33D70 42C05 39A12 42C10 43A62 PDFBibTeX XMLCite \textit{C. Markett}, Constr. Approx. 10, No. 3, 317--338 (1994; Zbl 0806.33003) Full Text: DOI
Borwein, J.; Borwein, P.; Garvan, F. Hypergeometric analogues of the arithmetic-geometric mean iteration. (English) Zbl 0785.33001 Constructive Approximation 9, No. 4, 509-523 (1993). Reviewer: J.Matkowski (Bielsko-Biała) MSC: 33C05 39B12 11F11 PDFBibTeX XMLCite \textit{J. Borwein} et al., Constr. Approx. 9, No. 4, 509--523 (1993; Zbl 0785.33001) Full Text: DOI
Lilly, Glenn M.; Milne, Stephen C. The \(C_ \ell\) Bailey transform and Bailey lemma. (English) Zbl 0805.33019 Constructive Approximation 9, No. 4, 473-500 (1993). Reviewer: D.M.Bressoud (St.Paul) MSC: 33D70 05A19 33D20 44A15 PDFBibTeX XMLCite \textit{G. M. Lilly} and \textit{S. C. Milne}, Constr. Approx. 9, No. 4, 473--500 (1993; Zbl 0805.33019) Full Text: DOI
Chihara, Theodore S.; Ismail, Mourad E. H. Extremal measures for a system of orthogonal polynomials. (English) Zbl 0783.33007 Constructive Approximation 9, No. 1, 111-119 (1993). Reviewer: C.M.Joshi (Udaipur) MSC: 33C50 30E05 44A60 PDFBibTeX XMLCite \textit{T. S. Chihara} and \textit{M. E. H. Ismail}, Constr. Approx. 9, No. 1, 111--119 (1993; Zbl 0783.33007) Full Text: DOI
Atakishiev, N. M.; Suslov, S. K. On the Askey-Wilson polynomials. (English) Zbl 0762.33004 Constructive Approximation 8, No. 3, 363-369 (1992). Reviewer: K.M.Saksena (Kanpur) MSC: 33C45 PDFBibTeX XMLCite \textit{N. M. Atakishiev} and \textit{S. K. Suslov}, Constr. Approx. 8, No. 3, 363--369 (1992; Zbl 0762.33004) Full Text: DOI
Markett, Clemens Product formulas and convolution structure for Fourier-Bessel series. (English) Zbl 0676.42012 Constructive Approximation 5, No. 4, 383-404 (1989). MSC: 42A85 PDFBibTeX XMLCite \textit{C. Markett}, Constr. Approx. 5, No. 4, 383--404 (1989; Zbl 0676.42012) Full Text: DOI
Rahman, Mizan; Verma, Arun A q-integral representation of Rogers’ q-ultraspherical polynomials and some applications. (English) Zbl 0586.33009 Constructive Approximation 2, 1-10 (1986). Reviewer: R.Askey MSC: 33C45 41A60 33C05 PDFBibTeX XMLCite \textit{M. Rahman} and \textit{A. Verma}, Constr. Approx. 2, 1--10 (1986; Zbl 0586.33009) Full Text: DOI