Tom H. Koornwinder

Tom H. Koornwinder's AcademicInfluence.com Rankings

Tom H. Koornwinder

Mathematics

#3821

World Rank

#5548

Historical Rank

Measure Theory

#1189

World Rank

#1515

Historical Rank

mathematics Degrees

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Mathematics

Tom H. Koornwinder's Degrees

PhD Mathematics University of Amsterdam
Masters Mathematics University of Amsterdam

Why Is Tom H. Koornwinder Influential?

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According to Wikipedia, Tom H. Koornwinder is a Dutch mathematician at the Korteweg-de Vries Institute for Mathematics who introduced Koornwinder polynomials. See also Askey–Bateman project

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Tom H. Koornwinder's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

BASIC HYPERGEOMETRIC SERIES (Encyclopedia of Mathematics and its Applications) (1991) (890)
Two-Variable Analogues of the Classical Orthogonal Polynomials (1975) (406)
Jacobi Functions and Analysis on Noncompact Semisimple Lie Groups (1984) (357)
Askey-Wilson polynomials for root systems of type BC (1991) (264)
A new proof of a Paley—Wiener type theorem for the Jacobi transform (1975) (249)
On q-analogues of the Fourier and Hankel transforms (2012) (216)
Orthogonal Polynomials With Weight Function (1 - x) α ( l + x) β + M δ(x + 1) + Nδ(x - 1) (1984) (208)
The convolution structure for Jacobi function expansions (1973) (190)
Orthogonal polynomials in two variables which are eigenfunctions of two algebraically independent partial differential operators. III (1974) (189)
Askey-Wilson polynomials as zonal spherical functions on the SU (2) quantum group (1993) (159)
Special functions and q-commuting variables (1996) (123)
Orthogonal polynomials in connection with quantum groups (1990) (123)
Compact quantum groups and q-special functions (1994) (117)
Representations of the twisted SU(2) quantum group and some q-hypergeometric orthogonal polynomials (1989) (109)
Wavelets : an elementary treatment of theory and applications (1993) (108)
On Zeilberger's algorithm and its q-analogue: a rigorous description (1993) (108)
CQG algebras: A direct algebraic approach to compact quantum groups (1994) (105)
The addition formula for Jacobi polynomials and spherical harmonics : prepublication (1973) (88)
$q$-special functions, a tutorial (1994) (85)
Krawtchouk polynomials, a unification of two different group theoretic interpretations : (preprint) (1982) (84)
Positivity proofs for linearization and connection coefficients of orthogonal polynomials satisfying an addition formula : (prepublication) (1978) (74)
Jacobi functions: The addition formula and the positivity of the dual convolution structure (1979) (71)
Quantum homogeneous spaces, duality and quantum 2-spheres (1993) (69)
The Relationship between Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case (2006) (68)
Jacobi functions as limit cases of q-ultraspherical polynomials (1990) (67)
Jacobi Polynomials, II. An Analytic Proof of the Product Formula (1974) (67)
Special orthogonal polynomial systems mapped onto each other by the Fourier-Jacobi transform (1985) (63)
The addition formula for little q-Legendre polynomials and the SU(2) quantum group (1991) (62)
The addition formula for Jacobi polynomials I summary of results (1971) (62)
Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra ? (2007) (56)
Weighted Permutation Problems and Laguerre Polynomials (1978) (52)
The Quantum Double of a (locally) Compact Group (1996) (48)
Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials (1988) (47)
q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations (1998) (47)
Tensor Product Representations of the Quantum Double of a Compact Group (1997) (47)
Meixner–Pollaczek polynomials and the Heisenberg algebra (1988) (46)
The addition formula for jacobi polynomials, 2 : the laplace type integral representation and the product formula (1972) (44)
Special Functions: Group Theoretical Aspects and Applications (2001) (44)
A note on the absolute bound for systems of lines (1976) (42)
Limit Transitions for BC Type Multivariable Orthogonal Polynomials (1997) (39)
Product Formulas and Associated Hypergroups for Orthogonal Polynomials on the Simplex and on a Parabolic Biangle (1997) (38)
Spherical harmonics and the product of two Jacobi polynomials (1971) (37)
The Clebsch-Gordan coefficients for the quantum group SμU(2) and q-Hahn polynomials (1989) (37)
Generalized Power Series Expansions for a Class of Orthogonal Polynomials in Two Variables (1978) (37)
The Continuous Wavelet Transform (1993) (36)
Representation of Lie Groups and Special Functions, Vols. 1,2,3 [Review of: N.Ja. Vilenkin (1998) Review of "Representation of Lie Groups and Special Functions, Vol. 1,2,3 "] (1998) (36)
Jacobi Polynomials, III. An Analytic Proof of the Addition Formula (1975) (35)
Matrix Elements of Irreducible Representations of $SU(2) \times SU(2)$ and Vector-Valued Orthogonal Polynomials (1982) (33)
Limit transition between hypergeometric functions of type BC and type A (2012) (32)
Differentiation by integration using orthogonal polynomials, a survey (2011) (31)
The addition formula for jacobi polynomials, 3 : Completion of the proof (1972) (31)
The structure relation for Askey-Wilson polynomials (2006) (31)
An Integral of Products of Ultraspherical Functions and a q‐Extension (1986) (29)
On the equivalence of two fundamental theta identities (2014) (29)
q-Special functions (2006) (28)
Positive definite spherical functions on a non-compact, rank one symmetric space (1979) (28)
Fourier transform and the Verlinde formula for the quantum double of a finite group (1999) (27)
The Addition Formula for Laguerre Polynomials (1977) (26)
Additions to the formula lists in \Hypergeometric orthogonal polynomials and their q-analogues" by Koekoek, Lesky and Swarttouw (2014) (24)
Identities of nonterminating series by Zeilberger's algorithm (1998) (24)
Explicit matrix inverses for lower triangular matrices with entries involving Jacobi polynomials (2013) (24)
Variations on the Heisenberg spherical harmonics (1983) (23)
Okounkov's BC-type interpolation Macdonald polynomials and their q=1 limit (2014) (22)
Asymptotic behaviour for Wall polynomials and the addition formula for little q -Legendre polynomials (1991) (22)
Gauss hypergeometric function and quadratic $R$-matrix algebras (1993) (22)
A precise definition of separation of variables (1980) (22)
The Askey scheme as a four-manifold with corners (2009) (22)
On an identity by Chaundy and Bullard. I (2007) (20)
Dualities in the q‐Askey Scheme and Degenerate DAHA (2018) (20)
Positive Convolution Structures Associated with Quantum Groups (1991) (19)
Ultrasound‐guided training in the performance of brachial plexus block by the posterior approach: an observational study (2007) (19)
Nonsymmetric Askey–Wilson polynomials as vector-valued polynomials (2010) (18)
AN ANALYTIC PROOF OF THE ADDITION FORMULA (17)
Invariant differential operators on nonreductive homogeneous spaces (2000) (16)
Lowering and raising operators for some special orthogonal polynomials (2005) (16)
Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator (2016) (16)
Discrete hypergroups associated with compact quantum Gelfand pairs (1994) (16)
General compact quantum groups: A Tutorial (1994) (14)
Yet another proof of the addition formula for Jacobi polynomials (1977) (13)
The finite continuous Jacobi transform and its inverse (1990) (13)
Fractional Integral and Generalized Stieltjes Transforms for Hypergeometric Functions as Transmutation Operators (2015) (12)
On an identity by Chaundy and Bullard. II. More history (2007) (12)
Representations of locally compact groups with applications (1979) (11)
On the limit from q-Racah polynomials to big q-Jacobi polynomials (2010) (11)
A q-analogue of convolution on the line (1999) (11)
$q$-special functions and their occurrence in quantum groups (1992) (8)
Fast Wavelet Transforms and Calderón-Zygmund Operators (1993) (8)
Special functions associated with root systems: recent progress (1994) (8)
Jacobi polynomials of type BC, Jack polynomials, limit transitions and{$O(\infty (1993) (8)
INTEGRAL REPRESENTATIONS FOR HORN'S H2 FUNCTION AND OLSSON'S FP FUNCTION (2016) (8)
Continuous Hahn Polynomials of Differential Operator Argument and Analysis on Riemannian Symmetric Spaces of Constant Curvature (1992) (8)
Special Functions Associated with Root Systems: A First Introduction for Non-Specialists (1998) (8)
The Clebsch-Gordan coefficients for the quantum group ${m S}sb µ{m U}(2)$ and $q$-Hahn polynomials (1989) (7)
A group theoretic interpretation of Wilson polynomials (1985) (7)
On Some Limit Cases of Askey-Wilson Polynomials (1998) (6)
Review: Willard Miller, Jr., Symmetry and separation of variables (1979) (6)
Clebsch-gordan coefficients for su(2) and hahn polynomials : (preprint) (1981) (5)
The addition formula for jacobi polynomials and the theory of orthogonal polynomials in two variables : A survey (1974) (5)
LU factorizations, q = 0 limits, and p-adic interpretations of some q-hypergeometric orthogonal polynomials (2004) (5)
The structure of real semisimple Lie groups (1982) (5)
Some details of proofs of theorems related to the quantum dynamical Yang-Baxter equation (2000) (5)
The mathematical contributions of Richard Askey, in q-Series from a contemporary perspective, (2000) (5)
Dual addition formulas associated with dual product formulas (2016) (5)
q-Special functions, an overview (2005) (5)
Harmonics and spherical functions on Grassmann manifolds of rank two and two-variable analogues of Jacobi polynomials (1976) (4)
A tribute to Dick Askey (2015) (4)
Charting the $q$-Askey scheme (2021) (4)
A further generalization of krall's jacobi type polynomials : (preprint) (1982) (3)
Askey-Wilson polynomial (2012) (3)
Quadratic transformations for orthogonal polynomials in one and two variables (2015) (3)
Lower-upper triangular decompositions, q=0 limits, and p-adic interpretations of some q-hypergeometric orthogonal polynomials (2004) (3)
The intersection of bivariate orthogonal polynomials on triangle patches (2013) (3)
A group theoretic interpretation of the last part of de Branges' proof of the Bieberbach conjecture (1985) (3)
Generalizations of an integral for Legendre polynomials by Persson and Strang (2010) (3)
Handling hypergeometric series in Maple (1990) (3)
Uniform multi-parameter limit transitions in the Askey tableau (1993) (2)
Dual addition formula for continuous $q$-ultraspherical polynomials (2018) (2)
Orthogonal polynomials, a short introduction (2013) (2)
Representations of SU(2) and Jacobi polynomials (2016) (2)
q-Extension of Mehta's eigenvectors of the finite Fourier transform for q, a root of unity (2008) (2)
Squares of Gegenbauer polynomials and Milin type inequalities (1984) (2)
A second addition formula for continuous q-ultraspherical polynomials (2003) (2)
Fusion and exchange matrices for quantized sl(2) and associated q-special functions (2002) (1)
Approximation systems (2012) (1)
QDYBE: some explicit formulas for exchange matrix and related objects in case of sl(2), q=1 (2000) (1)
The structure of real semisimple Lie groups : [short course given at the algebra seminar of the Department of Pure Mathematics of the Mathematical Centre] (1982) (1)
Charting the $q$-Askey scheme. II. The $q$-Zhedanov scheme (2022) (1)
GROUP REPRESENTATIONS AND SPECIAL FUNCTIONS (Mathematics and its Applications (Eastern European Series)) (1985) (1)
Hypergeometric functions of 2×2 matrix argument are expressible in terms of Appel’s functions ₄ (1978) (1)
01 3 Orthogonal polynomials , a short introduction (2013) (1)
A NONSYMMETRIC VERSION OF OKOUNKOV’S BC-TYPE INTERPOLATION MACDONALD POLYNOMIALS (2018) (1)
Dual addition formulas: the case of continuous q-ultraspherical and q-Hermite polynomials (2021) (1)
Fonctions d'entrelacement sur les groupes de Lie compacts et polynômes othogonaux de plusieurs variables [Intertwining functions on compact Lie groups and orthogonal polynomials in several variables] (1986) (1)
Josef Meixner: His life and his orthogonal polynomials (2016) (1)
A global approach to the representation theory of sl(2,R) (1979) (1)
The generalized Abel transform for ${m SL}(2,,C)$ (1982) (1)
Orthogonal polynomials in two variables which are eigenfunctions of two independent partial differential operators, 1 : Prepublication [2nd Print.] (1973) (1)
Computer Algebra in Quantum Field Theory : integration , summation and special functions (2013) (0)
On an identity of Chaundy and Bullard. III. Basic and elliptic extensions (2023) (0)
Representation theory and spectral analysis associated with relativistic integrable systems (2000) (0)
Recent Developments in Nonlinear Hyperbolic Conservation Laws 251 Orthogonal polynomials in several variables potentially useful in pde (2012) (0)
Editorial (2015) (0)
Special functions and Lie theory ( week 1 ) (2008) (0)
Limit Transitions for BC Type Multivariable (2005) (0)
C A ] 2 3 Ja n 20 07 The structure relation for Askey-Wilson polynomials (2008) (0)
and the positivity of the dual (2006) (0)
Explicit matrix inverses for lower triangular matrices with entries involving Gegenbauer polynomials (2013) (0)
Book Review: Representation of Lie groups and special functions (1998) (0)
Limits for BC Jacobi polynomials (2013) (0)
Jacobi polynomials, 3; an analytic proof of the addition formula : (prepublication) (1973) (0)
On the paper "Nonlinear integral-equation formulation of orthogonal polyno- mials" by C. M. Bender and E. Ben-Naim" (2007) (0)
UvA-DARE ( Digital Academic Repository ) Explicit matrix inverses for lower triangular matrices with entries involving (2017) (0)
UvA-DARE (Digital Academic Repository) On an identity by Chaundy and Bullard. (2008) (0)
On an identity by Pieter de Jong. I (2007) (0)
Syllabus Fourier Analysis (0)
Journal of Lie Theory The Quantum Double of a ( locally ) Compact Group (1997) (0)
In memoriam Erik G.F. Thomas (1939-2011): "A good definition is half the work" (2012) (0)
Wavelets: mathematical preliminaries (1993) (0)
N ov 2 02 1 Orthogonal polynomials , a short introduction (2021) (0)
3 Limit from Askey – Wilson to Wilson Consider (2011) (0)
Hall algebras and Macdonald polynomials (2001) (0)
The Q-jacobi Transform (0)
How were the MP 3 filter coefficients produced ? (2007) (0)
Addition theorems in the theory of special functions (1997) (0)
A short survey of duality in special functions (2021) (0)
UvA-DARE ( Digital Academic Repository ) On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials Koornwinder (2011) (0)
Algebraic methods : Lie groups , quantum groups (2005) (0)
Jacobi polynomials, 2 : An analytic proof of the product formula. prepublication (1972) (0)
ON SOME LIMIT CASES OF (2005) (0)
Hall algebra's en Macdonald polynomen (2001) (0)
General Overview of Multivariable Special Functions (2020) (0)
Orthogonal polynomials (2010) (0)
Nico Temme, the Askey scheme and me, 1968-2005 (2005) (0)
A precise definition of separation of variables : (preprint) (1979) (0)
Editorial (2015) (0)
Three notes on classical orthogonal polynomials : (prepublication) (1975) (0)
UvA-DARE ( Digital Academic Repository ) Generalizations of an integral for Legendre polynomials by Persson and Strang Diekema (2011) (0)
The representation theory of sl(2, ), a global approach : (preprint) (1980) (0)
Editorial (2015) (0)
Special Issue on Orthogonal Polynomials and Computer Algebra (1999) (0)
Generalised Functions as Linear Functionals on Generalized Functions (1984) (0)
C A ] 2 8 A pr 2 00 6 The structure relation for Askey-Wilson polynomials (2008) (0)
Josef Meixner: his life and his polynomials (2016) (0)
A ug 2 00 0 Invariant Differential Operators on Nonreductive Homogeneous Spaces (2008) (0)
EXTENSIONS OF THE WELL-POISED AND ELLIPTIC WELL-POISED BAILEY (2010) (0)
The Legacy of Dick Askey (1933–2019) (2022) (0)
Hypergeometric functions of 2 * 2 matrix argument are solutions of the partial differential equations for appell's function f : (prepublication) (1976) (0)

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Tom H. Koornwinder's Academic­Influence.com Rankings