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1

Jacobi Polynomials, II. An Analytic Proof of the Product Formula

Koornwinder, Tom

Journal:

SIAM Journal on Mathematical Analysis

Year:

1974

Language:

english

File:

PDF, 993 KB

english, 1974

2

Yet another proof of the addition formula for Jacobi polynomials

Tom Koornwinder

Journal:

Journal of Mathematical Analysis and Applications

Year:

1977

Language:

english

File:

PDF, 282 KB

english, 1977

3

The Addition Formula for Jacobi Polynomials and Spherical Harmonics

Tom Koornwinder

Journal:

SIAM Journal on Applied Mathematics

Year:

1973

Language:

english

File:

PDF, 878 KB

english, 1973

4

Jacobi Polynomials, III. An Analytic Proof of the Addition Formula

Koornwinder, Tom

Journal:

SIAM Journal on Mathematical Analysis

Year:

1975

Language:

english

File:

PDF, 867 KB

english, 1975

5

Krawtchouk Polynomials, a Unification of Two Different Group Theoretic Interpretations

Koornwinder, Tom H.

Journal:

SIAM Journal on Mathematical Analysis

Year:

1982

Language:

english

File:

PDF, 1.09 MB

english, 1982

6

The Addition Formula for Little q -Legendre Polynomials and the ${\operatorname{SU}}(2)$ Quantum Group

Koornwinder, Tom H.

Journal:

SIAM Journal on Mathematical Analysis

Year:

1991

Language:

english

File:

PDF, 650 KB

english, 1991

7

Two Legendre Polynomial Identities: Problem 83-16

Tom H. Koornwinder and W. B. Jordan

Journal:

Year:

1984

Language:

english

File:

PDF, 259 KB

english, 1984

8

Theory and Application of Special Functions || Two-Variable Analogues of the Classical Orthogonal Polynomials

Koornwinder, Tom

Year:

1975

Language:

english

File:

PDF, 1.82 MB

english, 1975

9

Encyclopedia of Special Functions: The Askey-Bateman Project || General Overview of Multivariable Special Functions

Koornwinder, Tom H., Stokman, Jasper V.

Year:

2020

File:

PDF, 161 KB

2020

10

Orthogonal polynomials in two variables which are eigenfunctions of two algebraically independent partial differential operators. I

Tom H Koornwinder

Journal:

Indagationes Mathematicae (Proceedings)

Year:

1974

Language:

english

File:

PDF, 583 KB

english, 1974

11

A new proof of a Paley—Wiener type theorem for the Jacobi transform

Tom Koornwinder

Journal:

Arkiv för Matematik

Year:

1975

Language:

english

File:

PDF, 660 KB

english, 1975

12

The convolution structure for Jacobi function expansions

Mogens Flensted-Jensen, Tom Koornwinder

Journal:

Arkiv för Matematik

Year:

1973

Language:

english

File:

PDF, 751 KB

english, 1973

13

Askey–Wilson Polynomials as Zonal Spherical Functions on the ${\operatorname{SU}}(2)$ Quantum Group

Koornwinder, Tom H.

Journal:

SIAM Journal on Mathematical Analysis

Year:

1993

Language:

english

File:

PDF, 1.59 MB

english, 1993

14

CQG algebras: A direct algebraic approach to compact quantum groups

Mathijs S. Dijkhuizen, Tom H. Koornwinder

Journal:

Letters in Mathematical Physics

Year:

1994

Language:

english

File:

PDF, 843 KB

english, 1994

15

LUfactorizations,q= 0 limits, andp-adic interpretations of someq-hypergeometric orthogonal polynomials

Tom H. Koornwinder, Uri Onn

Journal:

The Ramanujan Journal

Year:

2007

Language:

english

File:

PDF, 457 KB

english, 2007

16

The Askey scheme as a four-manifold with corners

Tom H. Koornwinder

Journal:

The Ramanujan Journal

Year:

2009

Language:

english

File:

PDF, 925 KB

english, 2009

17

The Addition Formula for Jacobi Polynomials and Spherical Harmonics

Koornwinder, Tom

Journal:

SIAM Journal on Applied Mathematics

Year:

1973

Language:

english

File:

PDF, 977 KB

english, 1973

18

Limit transition between hypergeometric functions of type BC and type A

Rösler, Margit, Koornwinder, Tom, Voit, Michael

Journal:

Compositio Mathematica

Year:

2013

Language:

english

File:

PDF, 543 KB

english, 2013

19

On q-Analogues of the Fourier and Hankel Transforms

Tom H. Koornwinder and René F. Swarttouw

Journal:

Transactions of the American Mathematical Society

Year:

1992

Language:

english

File:

PDF, 1.41 MB

english, 1992

20

Wavelets: An Elementary Treatment of Theory and Applications || Wavelets Understand Fractals

Koornwinder, Tom H

Year:

1993

Language:

english

File:

PDF, 423 KB

english, 1993

21

Wavelets: An Elementary Treatment of Theory and Applications || The Continuous Wavelet Transform

Koornwinder, Tom H

Year:

1993

Language:

english

File:

PDF, 808 KB

english, 1993

22

Wavelets: An Elementary Treatment of Theory and Applications || Calculation of the Wavelet Decomposition using Quadrature Formulae

Koornwinder, Tom H

Year:

1993

Language:

english

File:

PDF, 812 KB

english, 1993

23

On $q$-analogues of the Fourier and Hankel transforms

Koornwinder, Tom H., Swarttouw, René F.

Journal:

Transactions of the American Mathematical Society

Year:

1992

Language:

english

File:

PDF, 1.17 MB

english, 1992

24

Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator

Koornwinder, Tom, Kostenko, Aleksey, Teschl, Gerald

Journal:

Advances in Mathematics

Year:

2018

Language:

english

File:

PDF, 508 KB

english, 2018

25

Josef Meixner: His life and his orthogonal polynomials

Butzer, Paul L., Koornwinder, Tom H.

Journal:

Indagationes Mathematicae

Year:

2018

Language:

english

File:

PDF, 459 KB

english, 2018

26

Encyclopedia of Special Functions: The Askey-Bateman Project || Orthogonal Polynomials of Several Variables

Koornwinder, Tom H., Stokman, Jasper V.

Year:

2020

File:

PDF, 487 KB

2020

27

Encyclopedia of Special Functions: The Askey-Bateman Project || Appell and Lauricella Hypergeometric Functions

Koornwinder, Tom H., Stokman, Jasper V.

Year:

2020

File:

PDF, 192 KB

2020

28

The finite continuous Jacobi transform and its inverse

Tom H Koornwinder, Gilbert G Walter

Journal:

Journal of Approximation Theory

Year:

1990

Language:

english

File:

PDF, 782 KB

english, 1990

29

Jacobi functions as limit cases of q-ultraspherical polynomials

Tom H Koornwinder

Journal:

Journal of Mathematical Analysis and Applications

Year:

1990

Language:

english

File:

PDF, 476 KB

english, 1990

30

On Zeilberger's algorithm and its q-analogue

Tom H. Koornwinder

Journal:

Journal of Computational and Applied Mathematics

Year:

1993

Language:

english

File:

PDF, 1.20 MB

english, 1993

31

Orthogonal polynomials in two variables which are eigenfunctions of two algebraically independent partial differential operators. II

Tom H Koornwinder

Journal:

Indagationes Mathematicae (Proceedings)

Year:

1974

Language:

english

File:

PDF, 370 KB

english, 1974

32

Orthogonal polynomials in two variables which are eigenfunctions of two algebraically independent partial differential operators. III

Tom H Koornwinder

Journal:

Indagationes Mathematicae (Proceedings)

Year:

1974

Language:

english

File:

PDF, 571 KB

english, 1974

33

Orthogonal polynomials in two variables which are eigenfunctions of two algebraically independent partial differential operators. IV

Tom H Koornwinder

Journal:

Indagationes Mathematicae (Proceedings)

Year:

1974

Language:

english

File:

PDF, 500 KB

english, 1974

34

A note on the absolute bound for systems of lines

Tom H Koornwinder

Journal:

Indagationes Mathematicae (Proceedings)

Year:

1976

Language:

english

File:

PDF, 83 KB

english, 1976

35

The structure relation for Askey–Wilson polynomials

Tom H. Koornwinder

Journal:

Journal of Computational and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 212 KB

english, 2007

36

On an identity by Chaundy and Bullard. I

Tom H. Koornwinder, Michael J. Schlosser

Journal:

Indagationes Mathematicae

Year:

2008

Language:

english

File:

PDF, 1.07 MB

english, 2008

37

Identities of nonterminating series by Zeilberger's algorithm

Tom H. Koornwinder

Journal:

Journal of Computational and Applied Mathematics

Year:

1998

Language:

english

File:

PDF, 495 KB

english, 1998

38

Quantum homogeneous spaces, duality and quantum 2-spheres

Mathijs S. Dijkhuizen, Tom H. Koornwinder

Journal:

Geometriae Dedicata

Year:

1994

Language:

english

File:

PDF, 1.31 MB

english, 1994

39

Weighted permutation problems and Laguerre polynomials

Richard Askey, Mourad E.H Ismail, Tom Koornwinder

Journal:

Journal of Combinatorial Theory, Series A

Year:

1978

Language:

english

File:

PDF, 482 KB

english, 1978

40

On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials

Koornwinder, Tom H.

Journal:

Symmetry Integrability and Geometry Methods and Applications

Year:

2011

Language:

english

File:

PDF, 319 KB

english, 2011

41

Nonsymmetric Askey–Wilson polynomials as vector-valued polynomials

Koornwinder, Tom H., Bouzeffour, Fethi

Journal:

Applicable Analysis

Year:

2011

Language:

english

File:

PDF, 177 KB

english, 2011

42

Jacobi functions: The addition formula and the positivity of the dual convolution structure

Mogens Flensted-Jensen, Tom H. Koornwinder

Journal:

Arkiv för Matematik

Year:

1979

Language:

english

File:

PDF, 525 KB

english, 1979

43

Differentiation by integration using orthogonal polynomials, a survey

Enno Diekema, Tom H. Koornwinder

Journal:

Journal of Approximation Theory

Year:

2012

Language:

english

File:

PDF, 402 KB

english, 2012

44

Generalizations of an integral for Legendre polynomials by Persson and Strang

Enno Diekema, Tom H. Koornwinder

Journal:

Journal of Mathematical Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 184 KB

english, 2012

45

The Addition Formula for Laguerre Polynomials

Koornwinder, Tom

Journal:

SIAM Journal on Mathematical Analysis

Year:

1977

Language:

english

File:

PDF, 45 KB

english, 1977

46

Asymptotic Behaviour for Wall Polynomials and the Addition Formula for Little q -Legendre Polynomials

Van Assche, Walter, Koornwinder, Tom H.

Journal:

SIAM Journal on Mathematical Analysis

Year:

1991

Language:

english

File:

PDF, 798 KB

english, 1991

47

Generalized Power Series Expansions for a Class of Orthogonal Polynomials in Two Variables

Koornwinder, Tom, Sprinkhuizen-Kuyper, Ida

Journal:

SIAM Journal on Mathematical Analysis

Year:

1978

Language:

english

File:

PDF, 2.30 MB

english, 1978

48

Matrix Elements of Irreducible Representations of $SU(2) \times SU(2)$ and Vector-Valued Orthogonal Polynomials

Koornwinder, Tom H.

Journal:

SIAM Journal on Mathematical Analysis

Year:

1985

Language:

english

File:

PDF, 875 KB

english, 1985

49

On an identity by Chaundy and Bullard. II. More history

Koornwinder, Tom H., Schlosser, Michael J.

Journal:

Indagationes Mathematicae

Year:

2013

Language:

english

File:

PDF, 155 KB

english, 2013

50

Limit transitions for BC type multivariable orthogonal polynomials

Stokman, Jasper V., Koornwinder, Tom H.

Journal:

Canadian Journal of Mathematics

Year:

1997

Language:

english

File:

PDF, 217 KB

english, 1997