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Koornwinder, Tom H.

Author ID: koornwinder.tom-h Recent zbMATH articles by "Koornwinder, Tom H."
Published as: Koornwinder, Tom H.; Koornwinder, T. H.; Koornwinder, Tom
Homepage: https://staff.fnwi.uva.nl/t.h.koornwinder/
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all top 5

Serials

9 SIAM Journal on Mathematical Analysis
5 Journal of Approximation Theory
5 Indagationes Mathematicae. New Series
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
3 Journal of Mathematical Analysis and Applications
3 Arkiv för Matematik
3 Indagationes Mathematicae
3 Journal of Computational and Applied Mathematics
3 The Ramanujan Journal
2 Canadian Journal of Mathematics
2 Journal of the London Mathematical Society. Second Series
2 Complex Variables. Theory and Application
2 Methods and Applications of Analysis
2 Series in Approximations and Decompositions
2 MC Syllabus
1 Applicable Analysis
1 Communications in Mathematical Physics
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Mathematics of Computation
1 Advances in Mathematics
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Geometriae Dedicata
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Combinatorial Theory. Series A
1 Proceedings of the American Mathematical Society
1 Studies in Applied Mathematics
1 Transactions of the American Mathematical Society
1 Journal of Symbolic Computation
1 Constructive Approximation
1 CWI Quarterly
1 L’Enseignement Mathématique. 2e Série
1 Journal of Physics A: Mathematical and General
1 Nieuw Archief voor Wiskunde. Derde Serie
1 SIAM Journal on Applied Mathematics
1 St. Petersburg Mathematical Journal
1 Kyushu Journal of Mathematics
1 Journal of Lie Theory
1 Séminaire Lotharingien de Combinatoire
1 Transformation Groups
1 Nieuw Archief voor Wiskunde. Vijfde Serie
1 Analysis and Applications (Singapore)
1 Mathematics and its Applications (Dordrecht)
1 Journal of Physics A: Mathematical and Theoretical
1 Springer Monographs in Mathematics

Publications by Year

Citations contained in zbMATH Open

114 Publications have been cited 2,344 times in 1,744 Documents Cited by Year
Hypergeometric orthogonal polynomials and their \(q\)-analogues. With a foreword by Tom H. Koornwinder. Zbl 1200.33012
Koekoek, Roelof; Lesky, Peter A.; Swarttouw, René F.
656
2010
Two-variable analogues of the classical orthogonal polynomials. Zbl 0326.33002
Koornwinder, Tom
176
1975
Jacobi functions and analysis on noncompact semisimple Lie groups. Zbl 0584.43010
Koornwinder, Tom H.
139
1984
A new proof of a Paley-Wiener type theorem for the Jacobi transform. Zbl 0303.42022
Koornwinder, Tom
138
1975
Orthogonal polynomials with weight function \((1- x)^{\alpha}(1+x)^{\beta}+M\delta(x+1)+N\delta(x-1)\). Zbl 0507.33005
Koornwinder, Tom H.
114
1984
On \(q\)-analogues of the Fourier and Hankel transforms. Zbl 0759.33007
Koornwinder, Tom H.; Swarttouw, René F.
101
1992
Askey-Wilson polynomials for root systems of type \(BC\). Zbl 0797.33014
Koornwinder, Tom H.
87
1992
The convolution structure for Jacobi function expansions. Zbl 0267.42009
Flensted-Jensen, Mogens; Koornwinder, Tom
85
1973
Askey-Wilson polynomials as zonal spherical functions on the \(SU(2)\) quantum group. Zbl 0799.33015
Koornwinder, Tom H.
61
1993
CQG algebras: A direct algebraic approach to compact quantum groups. Zbl 0861.17005
Dijkhuizen, Mathijs S.; Koornwinder, Tom H.
49
1994
Compact quantum groups and \(q\)-special functions. Zbl 0821.17015
Koornwinder, Tom H.
48
1994
Special functions and \(q\)-commuting variables. Zbl 0882.33014
Koornwinder, Tom H.
48
1997
Wavelets: an elementary treatment of theory and applications. Zbl 0832.00013
46
1993
The addition formula for Jacobi polynomials and spherical harmonics. Zbl 0276.33023
Koornwinder, Tom
44
1973
Representations of the twisted SU(2) quantum group and some q- hypergeometric orthogonal polynomials. Zbl 0681.22020
Koornwinder, T. H.
43
1989
Orthogonal polynomials in two variables which are eigenfunctions of two algebraically independent partial differential operators. III, IV. Zbl 0291.33013
Koornwinder, Tom H.
43
1974
Orthogonal polynomials in two variables which are eigenfunctions of two algebraically independent partial differential operators. I, II. Zbl 0263.33011
Koornwinder, Tom H.
41
1974
Quantum homogeneous spaces, duality and quantum 2-spheres. Zbl 0818.17017
Dijkhuizen, Mathijs S.; Koornwinder, Tom H.
40
1994
Jacobi functions: the addition formula and the positivity of the dual convolution structure. Zbl 0409.33009
Flensted-Jensen, Mogens; Koornwinder, Tom H.
38
1979
Orthogonal polynomials in connection with quantum groups. Zbl 0697.42019
Koornwinder, Tom H.
37
1990
On Zeilberger’s algorithm and its \(q\)-analogue. Zbl 0797.65011
Koornwinder, Tom H.
36
1993
The relationship between Zhedanov’s algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case. Zbl 1134.33321
Koornwinder, Tom H.
36
2007
\(q\)-special functions, a tutorial. Zbl 0768.33018
Koelink, H. T.; Koornwinder, T. H.
34
1992
Positivity proofs for linearization and connection coefficients of orthogonal polynomials satisfying an addition formula. Zbl 0386.33009
Koornwinder, Tom
32
1978
Zhedanov’s algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case. II. The spherical subalgebra. Zbl 1157.33328
Koornwinder, Tom H.
31
2008
Jacobi polynomials. II: An analytic proof of the product formula. Zbl 0242.33020
Koornwinder, Tom
31
1974
The addition formula for Jacobi polynomials. II: The Laplace type integral representation and the product formula. Zbl 0247.33018
Koornwinder, T. H.
30
1972
The addition formula for Jacobi polynomials. I: Summary of results. Zbl 0247.33017
Koornwinder, T. H.
28
1972
Special orthogonal polynomial systems mapped onto each other by the Fourier-Jacobi transform. Zbl 0592.42005
Koornwinder, T. H.
27
1985
The addition formula for little \(q\)-Legendre polynomials and the \(SU(2)\) quantum group. Zbl 0738.33012
Koornwinder, Tom H.
26
1991
Meixner-Pollaczek polynomials and the Heisenberg algebra. Zbl 0672.33011
Koornwinder, Tom H.
25
1989
Product formulas and associated hypergroups for orthogonal polynomials on the simplex and on a parabolic biangle. Zbl 0937.33009
Koornwinder, T. H.; Schwartz, A. L.
24
1997
Krawtchouk polynomials, a unification of two different group theoretic interpretations. Zbl 0505.33015
Koornwinder, Tom H.
23
1982
Jacobi functions as limit cases of q-ultraspherical polynomials. Zbl 0713.33010
Koornwinder, Tom H.
21
1990
On the equivalence of two fundamental theta identities. Zbl 1379.11049
Koornwinder, Tom H.
19
2014
Limit transitions for BC type multivariable orthogonal polynomials. Zbl 0881.33026
Stokman, Jasper V.; Koornwinder, Tom H.
19
1997
The structure relation for Askey-Wilson polynomials. Zbl 1120.33018
Koornwinder, Tom H.
19
2007
A note on the absolute bound for systems of lines. Zbl 0328.05020
Koornwinder, Tom H.
19
1976
Special functions: Group theoretical aspects and applications. Zbl 0543.00007
18
1984
Tensor product representations of the quantum double of a compact group. Zbl 0944.20033
Koornwinder, T. H.; Bais, F. A.; Muller, N. M.
17
1998
The addition formula for Jacobi polynomials. III: Completion of the proof. Zbl 0247.33019
Koornwinder, T. H.
16
1972
Explicit matrix inverses for lower triangular matrices with entries involving Jacobi polynomials. Zbl 1318.33013
Cagliero, Leandro; Koornwinder, Tom H.
15
2015
Positive definite spherical functions on a non-compact, rank one symmetric space. Zbl 0433.43014
Flensted-Jensen, Mogens; Koornwinder, Tom H.
15
1979
Group theoretic interpretations of Askey’s scheme of hypergeometric orthogonal polynomials. Zbl 0654.33006
Koornwinder, Tom H.
15
1988
Differentiation by integration using orthogonal polynomials, a survey. Zbl 1259.65050
Diekema, Enno; Koornwinder, Tom H.
14
2012
Jacobi polynomials. III: An analytic proof of the addition formula. Zbl 0299.33012
Koornwinder, Tom
14
1975
The addition formula for Laguerre polynomials. Zbl 0361.33002
Koornwinder, Tom
13
1977
Spherical harmonics and the product of two Jacobi polynomials. Zbl 0209.09302
Dijksma, A.; Koornwinder, T. H.
13
1971
On an identity by Chaundy and Bullard. I. Zbl 1210.05014
Koornwinder, Tom H.; Schlosser, Michael J.
13
2008
Dualities in the \(q\)-Askey scheme and degenerate DAHA. Zbl 1408.33032
Koornwinder, Tom H.; Mazzocco, Marta
13
2018
The quantum double of a (locally) compact group. Zbl 0892.16023
Koornwinder, T. H.; Muller, N. M.
12
1997
Generalized power series expansions for a class of orthogonal polynomials in two variables. Zbl 0395.33008
Koornwinder, Tom; Sprinkhuizen-Kuyper, Ida
12
1978
The Clebsch-Gordan coefficients for the quantum group \(S_{\mu}U(2)\) and q-Hahn polynomials. Zbl 0708.22007
Koelink, H. T.; Koornwinder, T. H.
11
1989
Weighted permutation problems and Laguerre polynomials. Zbl 0405.05008
Askey, Richard; Ismail, Mourad E. H.; Koornwinder, Tom
11
1978
The Askey scheme as a four-manifold with corners. Zbl 1195.33053
Koornwinder, Tom H.
11
2009
Clebsch-Gordan coefficients for SU(2) and Hahn polynomials. Zbl 0483.20027
Koornwinder, T. H.
10
1981
\(q\)-special functions and their occurence in quantum groups. Zbl 0770.33012
Koornwinder, T. H.
10
1992
Fourier transform and the Verlinde formula for the quantum double of a finite group. Zbl 0958.20038
Koornwinder, T. H.; Schroers, B. J.; Slingerland, J. K.; Bais, F. A.
10
1999
Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator. Zbl 1405.33012
Koornwinder, Tom; Kostenko, Aleksey; Teschl, Gerald
10
2018
Okounkov’s BC-type interpolation Macdonald polynomials and their \(q=1\) limit. Zbl 1331.33038
Koornwinder, Tom H.
9
2015
Lowering and raising operators for some special orthogonal polynomials. Zbl 1132.33315
Koornwinder, Tom H.
9
2006
On an identity by Chaundy and Bullard. II: More history. Zbl 1282.33008
Koornwinder, Tom H.; Schlosser, Michael J.
9
2013
Nonsymmetric Askey-Wilson polynomials as vector-valued polynomials. Zbl 1216.33040
Koornwinder, Tom H.; Bouzeffour, Fethi
9
2011
Limit transition between hypergeometric functions of type BC and type A. Zbl 1405.33019
Rösler, Margit; Koornwinder, Tom; Voit, Michael
9
2013
A note on the multiplicity free reduction of certain orthogonal and unitary groups. Zbl 0498.22014
Koornwinder, Tom H.
8
1982
The finite continuous Jacobi transform and its inverse. Zbl 0683.44002
Koornwinder, Tom H.; Walter, Gilbert G.
8
1990
Matrix elements of irreducible representations of SU(2)\(\times SU(2)\) and vector-valued orthogonal polynomials. Zbl 0581.22020
Koornwinder, Tom H.
8
1985
\(q\)-Laguerre polynomials and big \(q\)-Bessel functions and their orthogonality relations. Zbl 0964.33008
Ciccoli, Nicola; Koelink, Erik; Koornwinder, Tom H.
8
1999
The addition formula for Jacobi polynomials and the theory of orthogonal polynomials in two variables, a survey. Zbl 0297.33021
Koornwinder, T. H.
7
1974
Identities of nonterminating series by Zeilberger’s algorithm. Zbl 0945.65015
Koornwinder, Tom H.
7
1998
Encyclopedia of special functions: the Askey-Bateman project. Volume 2. Multivariable special functions. Zbl 1484.33001
7
2021
Fractional integral and generalized Stieltjes transforms for hypergeometric functions as transmutation operators. Zbl 1325.33003
Koornwinder, Tom H.
6
2015
Positive convolution structures associated with quantum groups. Zbl 0823.60007
Koornwinder, Tom H.
6
1991
LU factorizations, \(q = 0\) limits, and \(p\)-adic interpretations of some \(q\)-hypergeometric orthogonal polynomials. Zbl 1120.33019
Koornwinder, Tom H.; Onn, Uri
6
2007
An intergral of products of ultraspherical functions and a q-extension. Zbl 0564.33008
Askey, Richard; Koornwinder, Tom H.; Rahman, Mizan
6
1986
Asymptotic behaviour for Wall polynomials and the addition formula for little \(q\)-Legendre polynomials. Zbl 0738.33003
Van Assche, Walter; Koornwinder, Tom H.
5
1991
Integral representations for Horn’s \(H_2\) function and Olsson’s \(F_P\) function. Zbl 1447.33009
Diekema, Enno; Koornwinder, Tom H.
5
2019
Discrete hypergroups associated with compact quantum Gelfand pairs. Zbl 0824.17018
Koornwinder, Tom H.
4
1995
Gauss hypergeometric function and quadratic \(R\)-matrix algebras. Zbl 0841.33002
Koornwinder, T. H.; Kuznetsov, V. B.
4
1994
Yet another proof of the addition formula for Jacobi polynomials. Zbl 0406.33006
Koornwinder, Tom
4
1977
Research announcement. Continuous q-Legendre polynomials are spherical matrix elements of irreducible representations of the quantum SU(2) group. Zbl 0677.33008
Koornwinder, Tom H.
4
1989
On some limit cases of Askey-Wilson polynomials. Zbl 0913.33008
Stokman, J. V.; Koornwinder, T. H.
4
1998
On the limit from \(q\)-Racah polynomials to big \(q\)-Jacobi polynomials. Zbl 1218.33018
Koornwinder, Tom H.
4
2011
Dual addition formulas associated with dual product formulas. Zbl 1411.33010
Koornwinder, Tom H.
4
2018
A \(q\)-analogue of convolution on the line. Zbl 1004.33013
Carnovale, G.; Koornwinder, T. H.
3
2000
Orthogonal polynomials. Zbl 1311.33007
Koornwinder, Tom H.
3
2013
Continuous Hahn polynomials of differential operator argument and analysis on Riemannian symmetric spaces of constant curvature. Zbl 0759.33006
Badertscher, Erich; Koornwinder, Tom H.
3
1992
Jacobi polynomials of type \(BC\), Jack polynomials, limit transitions and \(O(\infty)\). Zbl 0968.33500
Koornwinder, Tom H.
3
1995
Lie groups and Lie algebras. Zbl 0428.22005
Koornwinder, T. H.
3
1979
Special functions associated with root systems: a first introduction for non-specialists. Zbl 0924.33008
Koornwinder, Tom H.
3
1998
Charting the \(q\)-Askey scheme. Zbl 1500.33007
Koornwinder, Tom H.
3
2022
Some details of proofs of theorems related to the quantum dynamical Yang-Baxter equation. Zbl 0960.17004
Koornwinder, Tom H.
2
2000
The intersection of bivariate orthogonal polynomials on triangle patches. Zbl 1309.65145
Koornwinder, Tom H.; Sauter, Stefan A.
2
2015
The mathematical contributions of Richard Askey. Zbl 0953.01015
Gasper, George; Ismail, Mourad E. H.; Koornwinder, Tom; Nevai, Paul; Stanton, Dennis
2
2000
Handling hypergeometric series in Maple. Zbl 0833.33001
Koornwinder, Tom H.
2
1991
Special functions associated with root systems: Recent progress. Zbl 0863.33015
Koornwinder, Tom H.
2
1995
The representation theory of SL(2,R), a non-infinitesimal approach. Zbl 0495.22010
Koornwinder, Tom H.
2
1982
Invariant differential operators on non-reductive homogeneous spaces. Zbl 0454.22006
Koornwinder, T. H.
2
1981
Harmonics and spherical functions on Grassmann manifolds of rank two and two-variable analogues of Jacobi polynomials. Zbl 0343.33009
Koornwinder, Tom
2
1977
Explicit formulas for special functions related to symmetric spaces. Zbl 0288.33028
Koornwinder, Tom
2
1973
Charting the \(q\)-Askey scheme. II. The \(q\)-Zhedanov scheme. Zbl 07654705
Koornwinder, Tom H.
1
2023
Charting the \(q\)-Askey scheme. Zbl 1500.33007
Koornwinder, Tom H.
3
2022
Encyclopedia of special functions: the Askey-Bateman project. Volume 2. Multivariable special functions. Zbl 1484.33001
7
2021
Integral representations for Horn’s \(H_2\) function and Olsson’s \(F_P\) function. Zbl 1447.33009
Diekema, Enno; Koornwinder, Tom H.
5
2019
Josef Meixner: his life and his orthogonal polynomials. Zbl 1405.33010
Butzer, Paul L.; Koornwinder, Tom H.
1
2019
Dualities in the \(q\)-Askey scheme and degenerate DAHA. Zbl 1408.33032
Koornwinder, Tom H.; Mazzocco, Marta
13
2018
Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator. Zbl 1405.33012
Koornwinder, Tom; Kostenko, Aleksey; Teschl, Gerald
10
2018
Dual addition formulas associated with dual product formulas. Zbl 1411.33010
Koornwinder, Tom H.
4
2018
Quadratic transformations for orthogonal polynomials in one and two variables. Zbl 1409.33007
Koornwinder, Tom H.
1
2018
Explicit matrix inverses for lower triangular matrices with entries involving Jacobi polynomials. Zbl 1318.33013
Cagliero, Leandro; Koornwinder, Tom H.
15
2015
Okounkov’s BC-type interpolation Macdonald polynomials and their \(q=1\) limit. Zbl 1331.33038
Koornwinder, Tom H.
9
2015
Fractional integral and generalized Stieltjes transforms for hypergeometric functions as transmutation operators. Zbl 1325.33003
Koornwinder, Tom H.
6
2015
The intersection of bivariate orthogonal polynomials on triangle patches. Zbl 1309.65145
Koornwinder, Tom H.; Sauter, Stefan A.
2
2015
A tribute to Dick Askey. Zbl 1315.01039
1
2015
On the equivalence of two fundamental theta identities. Zbl 1379.11049
Koornwinder, Tom H.
19
2014
On an identity by Chaundy and Bullard. II: More history. Zbl 1282.33008
Koornwinder, Tom H.; Schlosser, Michael J.
9
2013
Limit transition between hypergeometric functions of type BC and type A. Zbl 1405.33019
Rösler, Margit; Koornwinder, Tom; Voit, Michael
9
2013
Orthogonal polynomials. Zbl 1311.33007
Koornwinder, Tom H.
3
2013
Differentiation by integration using orthogonal polynomials, a survey. Zbl 1259.65050
Diekema, Enno; Koornwinder, Tom H.
14
2012
Generalizations of an integral for Legendre polynomials by Persson and Strang. Zbl 1237.33005
Diekema, Enno; Koornwinder, Tom H.
1
2012
Nonsymmetric Askey-Wilson polynomials as vector-valued polynomials. Zbl 1216.33040
Koornwinder, Tom H.; Bouzeffour, Fethi
9
2011
On the limit from \(q\)-Racah polynomials to big \(q\)-Jacobi polynomials. Zbl 1218.33018
Koornwinder, Tom H.
4
2011
Hypergeometric orthogonal polynomials and their \(q\)-analogues. With a foreword by Tom H. Koornwinder. Zbl 1200.33012
Koekoek, Roelof; Lesky, Peter A.; Swarttouw, René F.
656
2010
The Askey scheme as a four-manifold with corners. Zbl 1195.33053
Koornwinder, Tom H.
11
2009
\(q\)-extension of Mehta’s eigenvectors of the finite Fourier transform for \(q\), a root of unity. Zbl 1183.33035
Atakishiyeva, Mesuma K.; Atakishiyev, Natig M.; Koornwinder, Tom H.
1
2009
Zhedanov’s algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case. II. The spherical subalgebra. Zbl 1157.33328
Koornwinder, Tom H.
31
2008
On an identity by Chaundy and Bullard. I. Zbl 1210.05014
Koornwinder, Tom H.; Schlosser, Michael J.
13
2008
The relationship between Zhedanov’s algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case. Zbl 1134.33321
Koornwinder, Tom H.
36
2007
The structure relation for Askey-Wilson polynomials. Zbl 1120.33018
Koornwinder, Tom H.
19
2007
LU factorizations, \(q = 0\) limits, and \(p\)-adic interpretations of some \(q\)-hypergeometric orthogonal polynomials. Zbl 1120.33019
Koornwinder, Tom H.; Onn, Uri
6
2007
Lowering and raising operators for some special orthogonal polynomials. Zbl 1132.33315
Koornwinder, Tom H.
9
2006
A second addition formula for continuous \(q\)-ultraspherical polynomials. Zbl 1219.33025
Koornwinder, Tom H.
1
2005
A \(q\)-analogue of convolution on the line. Zbl 1004.33013
Carnovale, G.; Koornwinder, T. H.
3
2000
Some details of proofs of theorems related to the quantum dynamical Yang-Baxter equation. Zbl 0960.17004
Koornwinder, Tom H.
2
2000
The mathematical contributions of Richard Askey. Zbl 0953.01015
Gasper, George; Ismail, Mourad E. H.; Koornwinder, Tom; Nevai, Paul; Stanton, Dennis
2
2000
Fourier transform and the Verlinde formula for the quantum double of a finite group. Zbl 0958.20038
Koornwinder, T. H.; Schroers, B. J.; Slingerland, J. K.; Bais, F. A.
10
1999
\(q\)-Laguerre polynomials and big \(q\)-Bessel functions and their orthogonality relations. Zbl 0964.33008
Ciccoli, Nicola; Koelink, Erik; Koornwinder, Tom H.
8
1999
Tensor product representations of the quantum double of a compact group. Zbl 0944.20033
Koornwinder, T. H.; Bais, F. A.; Muller, N. M.
17
1998
Identities of nonterminating series by Zeilberger’s algorithm. Zbl 0945.65015
Koornwinder, Tom H.
7
1998
On some limit cases of Askey-Wilson polynomials. Zbl 0913.33008
Stokman, J. V.; Koornwinder, T. H.
4
1998
Special functions associated with root systems: a first introduction for non-specialists. Zbl 0924.33008
Koornwinder, Tom H.
3
1998
Special functions and \(q\)-commuting variables. Zbl 0882.33014
Koornwinder, Tom H.
48
1997
Product formulas and associated hypergroups for orthogonal polynomials on the simplex and on a parabolic biangle. Zbl 0937.33009
Koornwinder, T. H.; Schwartz, A. L.
24
1997
Limit transitions for BC type multivariable orthogonal polynomials. Zbl 0881.33026
Stokman, Jasper V.; Koornwinder, Tom H.
19
1997
The quantum double of a (locally) compact group. Zbl 0892.16023
Koornwinder, T. H.; Muller, N. M.
12
1997
Discrete hypergroups associated with compact quantum Gelfand pairs. Zbl 0824.17018
Koornwinder, Tom H.
4
1995
Jacobi polynomials of type \(BC\), Jack polynomials, limit transitions and \(O(\infty)\). Zbl 0968.33500
Koornwinder, Tom H.
3
1995
Special functions associated with root systems: Recent progress. Zbl 0863.33015
Koornwinder, Tom H.
2
1995
CQG algebras: A direct algebraic approach to compact quantum groups. Zbl 0861.17005
Dijkhuizen, Mathijs S.; Koornwinder, Tom H.
49
1994
Compact quantum groups and \(q\)-special functions. Zbl 0821.17015
Koornwinder, Tom H.
48
1994
Quantum homogeneous spaces, duality and quantum 2-spheres. Zbl 0818.17017
Dijkhuizen, Mathijs S.; Koornwinder, Tom H.
40
1994
Gauss hypergeometric function and quadratic \(R\)-matrix algebras. Zbl 0841.33002
Koornwinder, T. H.; Kuznetsov, V. B.
4
1994
Askey-Wilson polynomials as zonal spherical functions on the \(SU(2)\) quantum group. Zbl 0799.33015
Koornwinder, Tom H.
61
1993
Wavelets: an elementary treatment of theory and applications. Zbl 0832.00013
46
1993
On Zeilberger’s algorithm and its \(q\)-analogue. Zbl 0797.65011
Koornwinder, Tom H.
36
1993
On \(q\)-analogues of the Fourier and Hankel transforms. Zbl 0759.33007
Koornwinder, Tom H.; Swarttouw, René F.
101
1992
Askey-Wilson polynomials for root systems of type \(BC\). Zbl 0797.33014
Koornwinder, Tom H.
87
1992
\(q\)-special functions, a tutorial. Zbl 0768.33018
Koelink, H. T.; Koornwinder, T. H.
34
1992
\(q\)-special functions and their occurence in quantum groups. Zbl 0770.33012
Koornwinder, T. H.
10
1992
Continuous Hahn polynomials of differential operator argument and analysis on Riemannian symmetric spaces of constant curvature. Zbl 0759.33006
Badertscher, Erich; Koornwinder, Tom H.
3
1992
The addition formula for little \(q\)-Legendre polynomials and the \(SU(2)\) quantum group. Zbl 0738.33012
Koornwinder, Tom H.
26
1991
Positive convolution structures associated with quantum groups. Zbl 0823.60007
Koornwinder, Tom H.
6
1991
Asymptotic behaviour for Wall polynomials and the addition formula for little \(q\)-Legendre polynomials. Zbl 0738.33003
Van Assche, Walter; Koornwinder, Tom H.
5
1991
Handling hypergeometric series in Maple. Zbl 0833.33001
Koornwinder, Tom H.
2
1991
Orthogonal polynomials in connection with quantum groups. Zbl 0697.42019
Koornwinder, Tom H.
37
1990
Jacobi functions as limit cases of q-ultraspherical polynomials. Zbl 0713.33010
Koornwinder, Tom H.
21
1990
The finite continuous Jacobi transform and its inverse. Zbl 0683.44002
Koornwinder, Tom H.; Walter, Gilbert G.
8
1990
Representations of the twisted SU(2) quantum group and some q- hypergeometric orthogonal polynomials. Zbl 0681.22020
Koornwinder, T. H.
43
1989
Meixner-Pollaczek polynomials and the Heisenberg algebra. Zbl 0672.33011
Koornwinder, Tom H.
25
1989
The Clebsch-Gordan coefficients for the quantum group \(S_{\mu}U(2)\) and q-Hahn polynomials. Zbl 0708.22007
Koelink, H. T.; Koornwinder, T. H.
11
1989
Research announcement. Continuous q-Legendre polynomials are spherical matrix elements of irreducible representations of the quantum SU(2) group. Zbl 0677.33008
Koornwinder, Tom H.
4
1989
Group theoretic interpretations of Askey’s scheme of hypergeometric orthogonal polynomials. Zbl 0654.33006
Koornwinder, Tom H.
15
1988
An intergral of products of ultraspherical functions and a q-extension. Zbl 0564.33008
Askey, Richard; Koornwinder, Tom H.; Rahman, Mizan
6
1986
A group theoretic interpretation of the last part of de Branges’ proof of the Bieberbach conjecture. Zbl 0608.30021
Koornwinder, Tom H.
1
1986
Special orthogonal polynomial systems mapped onto each other by the Fourier-Jacobi transform. Zbl 0592.42005
Koornwinder, T. H.
27
1985
Matrix elements of irreducible representations of SU(2)\(\times SU(2)\) and vector-valued orthogonal polynomials. Zbl 0581.22020
Koornwinder, Tom H.
8
1985
Jacobi functions and analysis on noncompact semisimple Lie groups. Zbl 0584.43010
Koornwinder, Tom H.
139
1984
Orthogonal polynomials with weight function \((1- x)^{\alpha}(1+x)^{\beta}+M\delta(x+1)+N\delta(x-1)\). Zbl 0507.33005
Koornwinder, Tom H.
114
1984
Special functions: Group theoretical aspects and applications. Zbl 0543.00007
18
1984
The generalized Abel transform for \(SL(2,{\mathbb{C}})\). Zbl 0545.43004
Brummelhuis, Raymond; Koornwinder, Tom H.
1
1983
Krawtchouk polynomials, a unification of two different group theoretic interpretations. Zbl 0505.33015
Koornwinder, Tom H.
23
1982
A note on the multiplicity free reduction of certain orthogonal and unitary groups. Zbl 0498.22014
Koornwinder, Tom H.
8
1982
The representation theory of SL(2,R), a non-infinitesimal approach. Zbl 0495.22010
Koornwinder, Tom H.
2
1982
The structure of real semisimple Lie groups. Zbl 0496.22023
1
1982
Clebsch-Gordan coefficients for SU(2) and Hahn polynomials. Zbl 0483.20027
Koornwinder, T. H.
10
1981
Invariant differential operators on non-reductive homogeneous spaces. Zbl 0454.22006
Koornwinder, T. H.
2
1981
Clebsch-Gordan coefficients for \(SU(2)\) and Hahn polynomials. Zbl 0453.33010
Koornwinder, T. H.
1
1981
A precise definition of separation of variables. Zbl 0459.35005
Koornwinder, Tom H.
1
1980
Jacobi functions: the addition formula and the positivity of the dual convolution structure. Zbl 0409.33009
Flensted-Jensen, Mogens; Koornwinder, Tom H.
38
1979
Positive definite spherical functions on a non-compact, rank one symmetric space. Zbl 0433.43014
Flensted-Jensen, Mogens; Koornwinder, Tom H.
15
1979
Lie groups and Lie algebras. Zbl 0428.22005
Koornwinder, T. H.
3
1979
Representations of locally compact groups with applications. Parts I, II. Zbl 0418.00005
1
1979
Positivity proofs for linearization and connection coefficients of orthogonal polynomials satisfying an addition formula. Zbl 0386.33009
Koornwinder, Tom
32
1978
Generalized power series expansions for a class of orthogonal polynomials in two variables. Zbl 0395.33008
Koornwinder, Tom; Sprinkhuizen-Kuyper, Ida
12
1978
Weighted permutation problems and Laguerre polynomials. Zbl 0405.05008
Askey, Richard; Ismail, Mourad E. H.; Koornwinder, Tom
11
1978
Hypergeometric functions of \(2\times 2\) matrix argument are expressible in terms of Appell’s functions \(F_4\). Zbl 0394.33004
Koornwinder, Tom; Sprinkhuizen-Kuyper, Ida
1
1978
The addition formula for Laguerre polynomials. Zbl 0361.33002
Koornwinder, Tom
13
1977
Yet another proof of the addition formula for Jacobi polynomials. Zbl 0406.33006
Koornwinder, Tom
4
1977
Harmonics and spherical functions on Grassmann manifolds of rank two and two-variable analogues of Jacobi polynomials. Zbl 0343.33009
Koornwinder, Tom
2
1977
A note on the absolute bound for systems of lines. Zbl 0328.05020
Koornwinder, Tom H.
19
1976
...and 14 more Documents
all top 5

Cited by 1,667 Authors

32 Vinet, Luc
31 Koelink, Erik
28 Koornwinder, Tom H.
26 Xu, Yuan
24 Marcellán Español, Francisco
21 Fitouhi, Ahmed
20 Álvarez-Nodarse, Renato
20 Area, Iván
20 Bouzeffour, Fethi
20 Daher, Radouan
18 Ismail, Mourad El-Houssieny
18 Trimèche, Khalifa
17 Pérez, Teresa E.
17 Piñar, Miguel A.
17 Zhedanov, Alexei S.
16 Markett, Clemens
14 Dhaouadi, Lazhar
14 Godoy, Eduardo Paciência
14 Terwilliger, Paul M.
13 Mimachi, Katsuhisa
12 Crampé, Nicolas
12 Groenevelt, Wolter G. M.
12 Kwon, Kil Hyun
12 Littlejohn, Lance L.
12 Stokman, Jasper V.
12 van Diejen, Jan Felipe
12 Voit, Michael
11 Carroll, Robert Wayne
11 Chirvăsitu, Alexandru
11 Fernández, Lidia
11 Gorbachëv, Dmitriĭ Viktorovich
11 Koepf, Wolfram A.
11 Li, Huiyuan
11 Mejjaoli, Hatem
10 Bavinck, Herman
10 Ivanov, Valerĭ Ivanovich
10 Kawazoe, Takeshi
10 Neretin, Yuriĭ Aleksandrovich
10 Román, Pablo Manuel
10 Ronveaux, André
9 Aktaş, Rabia
9 Ben Salem, Nejib
9 Bettaibi, Néji
9 Brahim, Kamel
9 Everitt, William Norrie
9 Genest, Vincent X.
9 Lewanowicz, Stanisław
9 Menegatto, Valdir Antonio
9 Van Assche, Walter
9 Volchkov, Valeriĭ Vladimirovich
9 Volchkov, Vitaliĭ Vladimirovich
9 Warburton, Timothy
8 El Ouadih, Salah
8 Gaboriaud, Julien
8 Gupta, Vijay
8 Huang, Hau-wen
8 Peron, Ana Paula
7 Anker, Jean-Philippe
7 Awonusika, Richard Olu
7 De Commer, Kenny
7 Demni, Nizar
7 Flensted-Jensen, Mogens
7 Grünbaum, Francisco Alberto
7 Iliev, Plamen
7 Koekoek, Roelof
7 Kushpel, Alexander K.
7 Marriaga, Misael E.
7 Masjed-Jamei, Mohammad
7 Rahman, Mizan
7 Rösler, Margit
7 Skalski, Adam G.
7 Tyr, Othman
7 Wang, Lilian
7 Yakubovich, Semyon B.
7 Zarzo, Alejandro
6 Annaby, Mahmoud H.
6 Ballesteros, Angel
6 Chen, William Yong-Chuan
6 Elmonser, Hédi Ben
6 Méndez Pérez, José Manuel R.
6 Nemri, Akram
6 Noumi, Masatoshi
6 Rains, Eric M.
6 Sonar, Thomas
6 Warnaar, S. Ole
6 Woźny, Paweł
6 Zayed, Ahmed I.
5 Abreu, Luís Daniel
5 Bakry, Dominique
5 Baseilhac, Pascal
5 Betancor-Ortiz, Juan Diego
5 Betancor Perez, Jorge Juan
5 Binous, Wafa
5 Bracciali, Cleonice Fátima
5 Camporesi, Roberto
5 dos Santos Cardoso, José Luís
5 De Bie, Hendrik
5 Delcamp, Clement
5 Dijkhuizen, Mathijs S.
5 Emsiz, Erdal
...and 1,567 more Authors
all top 5

Cited in 350 Serials

95 Journal of Computational and Applied Mathematics
79 Journal of Mathematical Analysis and Applications
57 Journal of Approximation Theory
55 Integral Transforms and Special Functions
49 Journal of Mathematical Physics
43 Proceedings of the American Mathematical Society
41 The Ramanujan Journal
34 Communications in Mathematical Physics
34 Advances in Mathematics
34 Journal of Functional Analysis
30 Indagationes Mathematicae. New Series
28 Transactions of the American Mathematical Society
28 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
22 Constructive Approximation
22 Journal of High Energy Physics
19 Journal of Computational Physics
19 Letters in Mathematical Physics
19 Journal of Symbolic Computation
19 Linear Algebra and its Applications
18 Computers & Mathematics with Applications
17 Applied Mathematics and Computation
17 Journal of Difference Equations and Applications
16 Nuclear Physics. B
16 Journal of Geometry and Physics
16 Journal of Algebra
14 Applicable Analysis
12 Rocky Mountain Journal of Mathematics
12 Publications of the Research Institute for Mathematical Sciences, Kyoto University
11 Duke Mathematical Journal
11 Studies in Applied Mathematics
11 Advances in Applied Mathematics
11 Numerical Algorithms
11 The Journal of Fourier Analysis and Applications
11 Journal of Nonlinear Mathematical Physics
11 Advances in Difference Equations
10 Communications in Algebra
10 Mathematical Notes
10 Mathematics of Computation
10 Compositio Mathematica
10 Journal of Combinatorial Theory. Series A
10 Journal of Physics A: Mathematical and Theoretical
9 Mathematische Annalen
9 Journal of Mathematical Sciences (New York)
9 Mediterranean Journal of Mathematics
9 Journal of Pseudo-Differential Operators and Applications
9 Analysis and Mathematical Physics
8 Discrete Mathematics
8 Arkiv för Matematik
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Acta Applicandae Mathematicae
8 Journal of Scientific Computing
7 Journal d’Analyse Mathématique
7 Ukrainian Mathematical Journal
7 Journal of Pure and Applied Algebra
7 Mathematische Nachrichten
7 European Journal of Combinatorics
7 Journal of Theoretical Probability
7 The Journal of Analysis
7 Journal of the Australian Mathematical Society
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Mathematical Methods in the Applied Sciences
6 Theoretical and Mathematical Physics
6 Mathematische Zeitschrift
6 Selecta Mathematica. New Series
6 Bulletin des Sciences Mathématiques
6 Positivity
5 Acta Mathematica
5 Functional Analysis and its Applications
5 Inventiones Mathematicae
5 Numerische Mathematik
5 Proceedings of the Japan Academy. Series A
5 Results in Mathematics
5 Tôhoku Mathematical Journal. Second Series
5 Applied Numerical Mathematics
5 Applied Mathematics Letters
5 The Journal of Geometric Analysis
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 SIAM Journal on Scientific Computing
5 Annales Mathématiques Blaise Pascal
5 Algebras and Representation Theory
5 Complex Analysis and Operator Theory
4 Classical and Quantum Gravity
4 Computer Methods in Applied Mechanics and Engineering
4 International Journal of Mathematics and Mathematical Sciences
4 Journal of Number Theory
4 Monatshefte für Mathematik
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 International Journal of Mathematics
4 Journal of Algebraic Combinatorics
4 Advances in Computational Mathematics
4 Boletín de la Sociedad Matemática Mexicana. Third Series
4 Transformation Groups
4 Journal of Inequalities and Applications
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
4 Annales Henri Poincaré
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Journal of Algebra and its Applications
4 Analysis and Applications (Singapore)
4 International Journal of Wavelets, Multiresolution and Information Processing
4 Chebyshevskiĭ Sbornik
...and 250 more Serials
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Cited in 58 Fields

871 Special functions (33-XX)
373 Harmonic analysis on Euclidean spaces (42-XX)
221 Abstract harmonic analysis (43-XX)
209 Quantum theory (81-XX)
178 Nonassociative rings and algebras (17-XX)
150 Numerical analysis (65-XX)
148 Combinatorics (05-XX)
130 Integral transforms, operational calculus (44-XX)
126 Topological groups, Lie groups (22-XX)
116 Partial differential equations (35-XX)
115 Functional analysis (46-XX)
113 Approximations and expansions (41-XX)
101 Operator theory (47-XX)
100 Ordinary differential equations (34-XX)
94 Associative rings and algebras (16-XX)
79 Difference and functional equations (39-XX)
78 Group theory and generalizations (20-XX)
65 Global analysis, analysis on manifolds (58-XX)
59 Probability theory and stochastic processes (60-XX)
53 Number theory (11-XX)
51 Functions of a complex variable (30-XX)
48 Differential geometry (53-XX)
38 Linear and multilinear algebra; matrix theory (15-XX)
38 Real functions (26-XX)
30 Relativity and gravitational theory (83-XX)
28 Statistical mechanics, structure of matter (82-XX)
24 Dynamical systems and ergodic theory (37-XX)
21 Computer science (68-XX)
20 Information and communication theory, circuits (94-XX)
19 Algebraic geometry (14-XX)
18 Manifolds and cell complexes (57-XX)
18 Fluid mechanics (76-XX)
15 Several complex variables and analytic spaces (32-XX)
15 Integral equations (45-XX)
15 Geometry (51-XX)
12 Potential theory (31-XX)
12 Convex and discrete geometry (52-XX)
9 Category theory; homological algebra (18-XX)
9 Sequences, series, summability (40-XX)
9 Statistics (62-XX)
9 Mechanics of deformable solids (74-XX)
6 Measure and integration (28-XX)
6 Mechanics of particles and systems (70-XX)
6 Operations research, mathematical programming (90-XX)
5 History and biography (01-XX)
5 Commutative algebra (13-XX)
5 Geophysics (86-XX)
4 General and overarching topics; collections (00-XX)
4 Mathematical logic and foundations (03-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Systems theory; control (93-XX)
3 Optics, electromagnetic theory (78-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Field theory and polynomials (12-XX)
1 \(K\)-theory (19-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Biology and other natural sciences (92-XX)

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