Groenevelt, Wolter; Koelink, Erik Orthogonal functions related to Lax pairs in Lie algebras. (English) Zbl 07695114 Ramanujan J. 61, No. 2, 445-474 (2023). MSC: 33C80 33C45 17B80 37J37 37J38 PDFBibTeX XMLCite \textit{W. Groenevelt} and \textit{E. Koelink}, Ramanujan J. 61, No. 2, 445--474 (2023; Zbl 07695114) Full Text: DOI arXiv
Koelink, Erik; Morey, Lucía; Román, Pablo Matrix exceptional Laguerre polynomials. arXiv:2306.03223 Preprint, arXiv:2306.03223 [math.CA] (2023). MSC: 33C45 33C47 BibTeX Cite \textit{E. Koelink} et al., ``Matrix exceptional Laguerre polynomials'', Preprint, arXiv:2306.03223 [math.CA] (2023) Full Text: arXiv OA License
Koelink, Erik (ed.); Kolb, Stefan (ed.); Reshetikhin, Nicolai (ed.); Vlaar, Bart (ed.) Hypergeometry, integrability and Lie theory. Virtual conference, Lorentz Center, Leiden, the Netherlands, December 7–11, 2020. (English) Zbl 1496.17001 Contemporary Mathematics 780. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6520-9/pbk; 978-1-4704-7134-7/ebook). xii, 347 p. (2022). MSC: 17-06 17B80 33C80 43A90 13-06 13A35 16S38 17B37 17B67 33C60 33C67 33D45 60J60 00B25 00B30 PDFBibTeX XMLCite \textit{E. Koelink} (ed.) et al., Hypergeometry, integrability and Lie theory. Virtual conference, Lorentz Center, Leiden, the Netherlands, December 7--11, 2020. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1496.17001) Full Text: DOI
Koelink, Erik Applications of spectral theory to special functions. (English) Zbl 1472.33006 Cohl, Howard S. (ed.) et al., Lectures on orthogonal polynomials and special functions. Based on the 6th summer school on orthogonal polynomials and special functions (OPSF-S6), University of Maryland, College Park, MD, USA, July 11–15, 2016. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 464, 131-212 (2021). MSC: 33C45 47A10 PDFBibTeX XMLCite \textit{E. Koelink}, Lond. Math. Soc. Lect. Note Ser. 464, 131--212 (2021; Zbl 1472.33006) Full Text: DOI arXiv
Koelink, Erik; van Pruijssen, Maarten; Román, Pablo Matrix elements of irreducible representations of \(\mathrm{GL} (n + 1) \times\mathrm{GL} (n + 1)\) and multivariable matrix-valued orthogonal polynomials. (English) Zbl 1435.22009 J. Funct. Anal. 278, No. 7, Article ID 108411, 48 p. (2020). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 22E30 33C47 PDFBibTeX XMLCite \textit{E. Koelink} et al., J. Funct. Anal. 278, No. 7, Article ID 108411, 48 p. (2020; Zbl 1435.22009) Full Text: DOI arXiv
Koelink, Erik; Román, Pablo Matrix valued Laguerre polynomials. (English) Zbl 1494.33007 Buskes, Gerard (ed.) et al., Positivity and noncommutative analysis. Festschrift in honour of Ben de Pagter on the occasion of his 65th birthday. Based on the workshop “Positivity and Noncommutative Analysis”, Delft, The Netherlands, September 26–28, 2018. Cham: Birkhäuser. Trends Math., 295-320 (2019). Reviewer: Lalit Mohan Upadhyaya (Dehradun) MSC: 33C45 47A56 PDFBibTeX XMLCite \textit{E. Koelink} and \textit{P. Román}, in: Positivity and noncommutative analysis. Festschrift in honour of Ben de Pagter on the occasion of his 65th birthday. Based on the workshop ``Positivity and Noncommutative Analysis'', Delft, The Netherlands, September 26--28, 2018. Cham: Birkhäuser. 295--320 (2019; Zbl 1494.33007) Full Text: DOI arXiv
Koelink, Erik; Lemay, Jean-Michel; Vinet, Luc Convolution identities for Dunkl orthogonal polynomials from the \(\mathfrak{o} \mathfrak{s} \mathfrak{p}(1 | 2)\) Lie superalgebra. (English) Zbl 1422.33006 J. Math. Phys. 60, No. 9, 091701, 16 p. (2019). MSC: 33D80 33D45 33C45 33C80 33C20 17A70 16S40 PDFBibTeX XMLCite \textit{E. Koelink} et al., J. Math. Phys. 60, No. 9, 091701, 16 p. (2019; Zbl 1422.33006) Full Text: DOI arXiv
Ismail, Mourad E. H.; Koelink, Erik; Román, Pablo Matrix valued Hermite polynomials, Burchnall formulas and non-abelian Toda lattice. (English) Zbl 1431.33011 Adv. Appl. Math. 110, 235-269 (2019). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 37K10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., Adv. Appl. Math. 110, 235--269 (2019; Zbl 1431.33011) Full Text: DOI arXiv
Bergeron, G.; Koelink, E.; Vinet, L. \(\operatorname{SU}_q(3)\) corepresentations and bivariate \(q\)-Krawtchouk polynomials. (English) Zbl 1416.33025 J. Math. Phys. 60, No. 5, 051701, 13 p. (2019). Reviewer: P. K. Banerji (Jodhpur) MSC: 33D45 20G42 22E50 22E60 33D15 33D80 PDFBibTeX XMLCite \textit{G. Bergeron} et al., J. Math. Phys. 60, No. 5, 051701, 13 p. (2019; Zbl 1416.33025) Full Text: DOI arXiv
Ismail, Mourad E. H.; Koelink, Erik; Román, Pablo Generalized Burchnall-type identities for orthogonal polynomials and expansions. (English) Zbl 1393.33013 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 072, 24 p. (2018). MSC: 33C45 33D45 42C05 37K10 PDFBibTeX XMLCite \textit{M. E. H. Ismail} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 072, 24 p. (2018; Zbl 1393.33013) 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
Aldenhoven, Noud; Koelink, Erik; Román, Pablo Matrix-valued orthogonal polynomials related to the quantum analogue of \((\mathrm{SU}(2) \times \mathrm{SU}(2), \text{diag})\). (English) Zbl 1433.17013 Ramanujan J. 43, No. 2, 243-311 (2017). MSC: 17B37 33D45 33D80 PDFBibTeX XMLCite \textit{N. Aldenhoven} et al., Ramanujan J. 43, No. 2, 243--311 (2017; Zbl 1433.17013) Full Text: DOI arXiv
Koelink, Erik; Román, Pablo Orthogonal vs. non-orthogonal reducibility of matrix-valued measures. (English) Zbl 1332.33028 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 008, 9 p. (2016). MSC: 33D45 42C05 PDFBibTeX XMLCite \textit{E. Koelink} and \textit{P. Román}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 008, 9 p. (2016; Zbl 1332.33028) Full Text: DOI arXiv EMIS
De Commer, Kenny; Koelink, Erik A \(q\)-Hankel transform associated to the quantum linking groupoid for the quantum \(\mathrm{SU}(2)\) and \(\mathrm{E}(2)\) groups. (English) Zbl 1326.33025 Proc. Am. Math. Soc. 143, No. 6, 2515-2526 (2015). Reviewer: S. Moskaliuk (Kyiv) MSC: 33D80 33D45 46L65 81R50 PDFBibTeX XMLCite \textit{K. De Commer} and \textit{E. Koelink}, Proc. Am. Math. Soc. 143, No. 6, 2515--2526 (2015; Zbl 1326.33025) 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
Groenevelt, Wolter; Ismail, Mourad E. H.; Koelink, Erik Spectral decomposition and matrix-valued orthogonal polynomials. (English) Zbl 1286.42035 Adv. Math. 244, 91-105 (2013). MSC: 42C05 PDFBibTeX XMLCite \textit{W. Groenevelt} et al., Adv. Math. 244, 91--105 (2013; Zbl 1286.42035) Full Text: DOI arXiv
Groenevelt, Wolter; Koelink, Erik A hypergeometric function transform and matrix-valued orthogonal polynomials. (English) Zbl 1283.47026 Constr. Approx. 38, No. 2, 277-309 (2013). Reviewer: Małgorzata Michalska (Lublin) MSC: 47B25 33C45 47E05 PDFBibTeX XMLCite \textit{W. Groenevelt} and \textit{E. Koelink}, Constr. Approx. 38, No. 2, 277--309 (2013; Zbl 1283.47026) Full Text: DOI arXiv
Koelink, Erik; Van Pruijssen, Maarten; Román, Pablo Matrix-valued orthogonal polynomials related to \((\mathrm{SU}(2) \times \mathrm{SU}(2), \mathrm{diag})\). II. (English) Zbl 1275.33016 Publ. Res. Inst. Math. Sci. 49, No. 2, 271-312 (2013). Reviewer: Peter Massopust (München) MSC: 33C45 22E46 42C05 PDFBibTeX XMLCite \textit{E. Koelink} et al., Publ. Res. Inst. Math. Sci. 49, No. 2, 271--312 (2013; Zbl 1275.33016) Full Text: DOI arXiv
Ismail, Mourad E. H.; Koelink, Erik Spectral analysis of certain Schrödinger operators. (English) Zbl 1270.30003 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 061, 19 p. (2012). MSC: 30E05 33C45 39A10 42C05 44A60 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{E. Koelink}, SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 061, 19 p. (2012; Zbl 1270.30003) Full Text: DOI arXiv
Koelink, Erik; Van Pruijssen, Maarten; Román, Pablo Matrix-valued orthogonal polynomials related to \((\mathrm{SU}(2) \times \mathrm{SU}(2), \mathrm{diag})\). (English) Zbl 1263.33005 Int. Math. Res. Not. 2012, No. 24, 5673-5730 (2012). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33C45 42C05 15A24 PDFBibTeX XMLCite \textit{E. Koelink} et al., Int. Math. Res. Not. 2012, No. 24, 5673--5730 (2012; Zbl 1263.33005) Full Text: DOI arXiv
Ismail, Mourad E. H.; Koelink, Erik Spectral properties of operators using tridiagonalization. (English) Zbl 1248.33019 Anal. Appl., Singap. 10, No. 3, 327-343 (2012). MSC: 33C45 39A70 42C05 34L40 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{E. Koelink}, Anal. Appl., Singap. 10, No. 3, 327--343 (2012; Zbl 1248.33019) Full Text: DOI arXiv
Groenevelt, Wolter; Koelink, Erik The indeterminate moment problem for the \(q\)-Meixner polynomials. (English) Zbl 1236.33034 J. Approx. Theory 163, No. 7, 838-863 (2011). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33D45 PDFBibTeX XMLCite \textit{W. Groenevelt} and \textit{E. Koelink}, J. Approx. Theory 163, No. 7, 838--863 (2011; Zbl 1236.33034) Full Text: DOI arXiv
Ismail, Mourad E. H.; Koelink, Erik The \(J\)-matrix method. (English) Zbl 1216.33020 Adv. Appl. Math. 46, No. 1-4, 379-395 (2011). MSC: 33C45 42C05 34L40 PDFBibTeX XMLCite \textit{M. E. H. Ismail} and \textit{E. Koelink}, Adv. Appl. Math. 46, No. 1--4, 379--395 (2011; Zbl 1216.33020) Full Text: DOI arXiv
Koelink, Erik Spectral theory and special functions. (English) Zbl 1086.33011 Álvarez-Nodarse, Renato (ed.) et al., Laredo lectures on orthogonal polynomials and special functions. Lectures from the summer school, Laredo, Spain, July 24–28, 2000. Hauppauge, NY: Nova Science Publishers (ISBN 1-59454-009-8 ). Advances in the Theory of Special Functions and Orthogonal Polynomials, 45-84 (2004). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42C40 PDFBibTeX XMLCite \textit{E. Koelink}, in: Laredo lectures on orthogonal polynomials and special functions. Lectures from the summer school, Laredo, Spain, July 24--28, 2000. Hauppauge, NY: Nova Science Publishers. 45--84 (2004; Zbl 1086.33011) Full Text: arXiv
Koelink, Erik One-parameter orthogonality relations for basic hypergeometric series. (English) Zbl 1046.33011 Indag. Math., New Ser. 14, No. 3-4, 423-443 (2003). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33D15 33D45 PDFBibTeX XMLCite \textit{E. Koelink}, Indag. Math., New Ser. 14, No. 3--4, 423--443 (2003; Zbl 1046.33011) Full Text: DOI arXiv
Koelink, Erik (ed.); Van Assche, Walter (ed.) Orthogonal polynomials and special functions. Notes for the lectures of the summer school, Leuven, Belgium, August 12–16, 2002. (English) Zbl 1015.00020 Lecture Notes in Mathematics. 1817. Berlin: Springer. x, 249 p. (2003). MSC: 00B25 33-06 34-06 30-06 41-06 PDFBibTeX XMLCite \textit{E. Koelink} (ed.) and \textit{W. Van Assche} (ed.), Orthogonal polynomials and special functions. Notes for the lectures of the summer school, Leuven, Belgium, August 12--16, 2002. Berlin: Springer (2003; Zbl 1015.00020) Full Text: DOI
Koelink, Erik; Stokman, Jasper V. The big \(q\)-Jacobi function transform. (English) Zbl 1048.33014 Constructive Approximation 19, No. 2, 191-235 (2003). Reviewer: Angela Pasquale (Metz) MSC: 33D45 47B25 47B39 33D80 PDFBibTeX XMLCite \textit{E. Koelink} and \textit{J. V. Stokman}, Constr. Approx. 19, No. 2, 191--235 (2003; Zbl 1048.33014) Full Text: DOI arXiv
Koelink, Erik; Rosengren, Hjalmar Transmutation kernels for the little \(q\)-Jacobi function transform. (English) Zbl 1042.33011 Rocky Mt. J. Math. 32, No. 2, 703-738 (2002). MSC: 33D15 33D45 47B99 PDFBibTeX XMLCite \textit{E. Koelink} and \textit{H. Rosengren}, Rocky Mt. J. Math. 32, No. 2, 703--738 (2002; Zbl 1042.33011) Full Text: DOI arXiv Link
Koelink, Erik Lie theory and special functions. (English) Zbl 1016.33001 Bajo, Ignacio (ed.) et al., Recent advances in Lie theory. Selected contributions to the 1st colloquium on Lie theory and applications, Vigo, Spain, July 17-22, 2000. Lemgo: Heldermann Verlag. Res. Expo. Math. 25, 289-303 (2002). Reviewer: Ajendra Nath Srivastava (Puna) MSC: 33-02 33C47 33C80 PDFBibTeX XMLCite \textit{E. Koelink}, Res. Expo. Math. 25, 289--303 (2002; Zbl 1016.33001)
Groenevelt, Wolter; Koelink, Erik Meixner functions and polynomials related to Lie algebra representations. (English) Zbl 1002.33006 J. Phys. A, Math. Gen. 35, No. 1, 65-85 (2002). Reviewer: J.P.Singhal (Baroda) MSC: 33C80 17B99 33C45 PDFBibTeX XMLCite \textit{W. Groenevelt} and \textit{E. Koelink}, J. Phys. A, Math. Gen. 35, No. 1, 65--85 (2002; Zbl 1002.33006) Full Text: DOI arXiv
Koelink, Erik; Rosengren, Hjalmar Harmonic analysis on the \(\text{SU}(2)\) dynamical quantum group. (English) Zbl 1011.43003 Acta Appl. Math. 69, No. 2, 163-220 (2001). Reviewer: Phùng Hô Hai (Boho, Hanoi) MSC: 43A65 20G42 33D80 33D45 PDFBibTeX XMLCite \textit{E. Koelink} and \textit{H. Rosengren}, Acta Appl. Math. 69, No. 2, 163--220 (2001; Zbl 1011.43003) Full Text: DOI arXiv
Koelink, Erik; Stokman, Jasper V. The Askey-Wilson function transform. (English) Zbl 1008.33010 Int. Math. Res. Not. 2001, No. 22, 1203-1227 (2001). Reviewer: Hjalmar Rosengren (Göteborg) MSC: 33D15 33D45 44A15 PDFBibTeX XMLCite \textit{E. Koelink} and \textit{J. V. Stokman}, Int. Math. Res. Not. 2001, No. 22, 1203--1227 (2001; Zbl 1008.33010) Full Text: DOI arXiv
Koelink, Erik; Stokman, Jasper V. The Askey-Wilson function transform scheme. (English) Zbl 0995.33012 Bustoz, Joaquin (ed.) et al., Special functions 2000: current perspective and future directions. Proceedings of the NATO Advanced Study Institute, Tempe, AZ, USA, May 29-June 9, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 30, 221-241 (2001). Reviewer: Angela Pasquale (Clausthal-Zellerfeld) MSC: 33D80 33D45 33C45 PDFBibTeX XMLCite \textit{E. Koelink} and \textit{J. V. Stokman}, NATO Sci. Ser. II, Math. Phys. Chem. 30, 221--241 (2001; Zbl 0995.33012) Full Text: arXiv
Koelink, H. T.; Van der Jeugt, J. Bilinear generating functions for orthogonal polynomials. (English) Zbl 0941.33011 Constructive Approximation 15, No. 4, 481-497 (1999). Reviewer: R.Koekoek (Delft) MSC: 33C80 33D80 33C45 33D45 17B20 17B37 PDFBibTeX XMLCite \textit{H. T. Koelink} and \textit{J. Van der Jeugt}, Constr. Approx. 15, No. 4, 481--497 (1999; Zbl 0941.33011) Full Text: DOI arXiv
Ciccoli, Nicola; Koelink, Erik; Koornwinder, Tom H. \(q\)-Laguerre polynomials and big \(q\)-Bessel functions and their orthogonality relations. (English) Zbl 0964.33008 Methods Appl. Anal. 6, No. 1, 109-127 (1999). Reviewer: R.Koekoek (Delft) MSC: 33D45 33D80 17B37 PDFBibTeX XMLCite \textit{N. Ciccoli} et al., Methods Appl. Anal. 6, No. 1, 109--127 (1999; Zbl 0964.33008) Full Text: DOI arXiv
Koelink, H. T.; Van der Jeugt, J. Convolutions for orthogonal polynomials from Lie and quantum algebra representations. (English) Zbl 0977.33013 SIAM J. Math. Anal. 29, No. 3, 794-822 (1998). Reviewer: A.Klimyk (Kyïv) MSC: 33C80 33D80 33C45 33D45 17B20 17B37 PDFBibTeX XMLCite \textit{H. T. Koelink} and \textit{J. Van der Jeugt}, SIAM J. Math. Anal. 29, No. 3, 794--822 (1998; Zbl 0977.33013) Full Text: DOI arXiv
Koelink, Erik Convolution and addition theorems for \(q\)-orthogonal polynomials. (English) Zbl 0986.33011 Alfaro, M. (ed.) et al., International workshop on orthogonal polynomials in mathematical physics. Papers from the workshop, IWOP ’96, in honour of Professor André Ronveaux, Leganés, Spain, June 24-26, 1996. Leganés: Universidad Carlos III de Madrid, Servicio de Publicaciones. 113-122 (1997). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33D45 PDFBibTeX XMLCite \textit{E. Koelink}, in: International workshop on orthogonal polynomials in mathematical physics. Papers from the workshop, IWOP '96, in honour of Professor André Ronveaux, Leganés, Spain, June 24--26, 1996. Leganés: Universidad Carlos III de Madrid, Servicio de Publicaciones. 113--122 (1997; Zbl 0986.33011)
Koelink, Erik Addition formulas for \(q\)-special functions. (English) Zbl 0889.33010 Ismail, Mourad E. H. (ed.) et al., Special functions, \(q\)-series and related topics. Providence, RI: American Mathematical Society. Fields Inst. Commun. 14, 109-129 (1997). Reviewer: P.K.Mittal (Ajmer) MSC: 33D80 33D45 17B37 33D60 PDFBibTeX XMLCite \textit{E. Koelink}, Fields Inst. Commun. 14, 109--129 (1997; Zbl 0889.33010) Full Text: arXiv
Koelink, H. T. Askey-Wilson polynomials and the quantum \(\text{SU} (2)\) group: Survey and applications. (English) Zbl 0865.33013 Acta Appl. Math. 44, No. 3, 295-352 (1996). Reviewer: G.Zhang (Karlstad) MSC: 33D80 33D45 17B37 42C05 33C55 PDFBibTeX XMLCite \textit{H. T. Koelink}, Acta Appl. Math. 44, No. 3, 295--352 (1996; Zbl 0865.33013) Full Text: arXiv
Koelink, H. T. Yet another basic analogue of Graf’s addition formula. (English) Zbl 0864.33012 J. Comput. Appl. Math. 68, No. 1-2, 209-220 (1996). Reviewer: A.N.Srivastava (Puna) MSC: 33D15 33D45 42C05 PDFBibTeX XMLCite \textit{H. T. Koelink}, J. Comput. Appl. Math. 68, No. 1--2, 209--220 (1996; Zbl 0864.33012) Full Text: DOI arXiv
Koelink, H. T.; Verding, J. Spectral analysis and the Haar functional on the quantum \(SU(2)\) group. (English) Zbl 0848.22029 Commun. Math. Phys. 177, No. 2, 399-415 (1996). MSC: 22E70 17B37 81R50 PDFBibTeX XMLCite \textit{H. T. Koelink} and \textit{J. Verding}, Commun. Math. Phys. 177, No. 2, 399--415 (1996; Zbl 0848.22029) Full Text: DOI arXiv
Koelink, H. T. On Jacobi and continuous Hahn polynomials. (English) Zbl 0848.33007 Proc. Am. Math. Soc. 124, No. 3, 887-898 (1996). Reviewer: H.Exton (Dunrossness) MSC: 33C45 42A38 PDFBibTeX XMLCite \textit{H. T. Koelink}, Proc. Am. Math. Soc. 124, No. 3, 887--898 (1996; Zbl 0848.33007) 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
Koelink, H. T. Addition formula for big \(q\)-Legendre polynomials from the quantum \(SU(2)\) group. (English) Zbl 0844.33012 Can. J. Math. 47, No. 2, 436-448 (1995). Reviewer: Ch.Krattenthaler (Wien) MSC: 33D80 33D45 33C45 42C05 05E35 PDFBibTeX XMLCite \textit{H. T. Koelink}, Can. J. Math. 47, No. 2, 436--448 (1995; Zbl 0844.33012) Full Text: DOI
Koelink, H. T. Identities for \(q\)-ultraspherical polynomials and Jacobi functions. (English) Zbl 0828.33014 Proc. Am. Math. Soc. 123, No. 8, 2479-2487 (1995). Reviewer: R.Askey (Madison) MSC: 33D70 33C45 33D80 PDFBibTeX XMLCite \textit{H. T. Koelink}, Proc. Am. Math. Soc. 123, No. 8, 2479--2487 (1995; Zbl 0828.33014) Full Text: DOI
Koelink, H. T.; Swarttouw, R. F. A \(q\)-analogue of Graf’s addition formula for the Hahn-Exton \(q\)-Bessel function. (English) Zbl 0821.33010 J. Approximation Theory 81, No. 2, 260-273 (1995). Reviewer: H.Exton (Dunrossness) MSC: 33D15 33D45 PDFBibTeX XMLCite \textit{H. T. Koelink} and \textit{R. F. Swarttouw}, J. Approx. Theory 81, No. 2, 260--273 (1995; Zbl 0821.33010) Full Text: DOI arXiv
Koelink, H. T. The quantum group of plane motions and the Hahn-Exton \(q\)-Bessel function. (English) Zbl 0814.33011 Duke Math. J. 76, No. 2, 483-508 (1994). Reviewer: H.Exton (Dunrossness) MSC: 33D15 33D45 33D80 17B37 16W30 PDFBibTeX XMLCite \textit{H. T. Koelink}, Duke Math. J. 76, No. 2, 483--508 (1994; Zbl 0814.33011) Full Text: DOI
Koelink, H. T. The addition formula for continuous \(q\)-Legendre polynomials and associated spherical elements on the \(SU(2)\) quantum group related to Askey-Wilson polynomials. (English) Zbl 0844.33011 SIAM J. Math. Anal. 25, No. 1, 197-217 (1994). Reviewer: A.N.Srivastava (Puna) MSC: 33D80 33D45 22E70 17B37 33D90 PDFBibTeX XMLCite \textit{H. T. Koelink}, SIAM J. Math. Anal. 25, No. 1, 197--217 (1994; Zbl 0844.33011) Full Text: DOI
Koelink, H. T. Quantum group theoretic proof of the addition formula for continuous \(q\)- Legendre polynomials. (English) Zbl 0769.33017 Deformation theory and quantum groups with applications to mathematical physics, Proc. AMS-IMS-SIAM Jt. Summer Res. Conf., Amherst/MA (USA) 1990, Contemp. Math. 134, 139-140 (1992). Reviewer: R.Askey (Madison) MSC: 33D80 33D45 PDFBibTeX XMLCite \textit{H. T. Koelink}, Contemp. Math. 134, 139--140 (1992; Zbl 0769.33017)
Koelink, H. T.; Koornwinder, T. H. The Clebsch-Gordan coefficients for the quantum group \(S_{\mu}U(2)\) and q-Hahn polynomials. (English) Zbl 0708.22007 Indag. Math. 51, No. 4, 443-456 (1989). Reviewer: E.Kalnins MSC: 22E70 22E67 33C45 17B37 PDFBibTeX XMLCite \textit{H. T. Koelink} and \textit{T. H. Koornwinder}, Indag. Math. 51, No. 4, 443--456 (1989; Zbl 0708.22007)