Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Orthogonal Polynomials of Several Variables

- J. Stokman
- Computer Science, Mathematics
- J. Approx. Theory
- 31 October 2001

TLDR

Askey-Wilson polynomials: an affine Hecke algebra approach

- M. Noumi, J. Stokman
- Mathematics
- 6 January 2000

We study Askey-Wilson type polynomials using representation theory of the double affine Hecke algebra. In particular, we prove bi-orthogonality relations for non-symmetric and anti-symmetric… Expand

The Askey-Wilson function transform

- E. Koelink, J. Stokman
- Mathematics
- 10 April 2000

In this paper we present an explicit (rank one) function transform which contains several Jacobi-type function transforms and Hankel-type transforms as degenerate cases. The kernel of the transform,… Expand

Some limit transitions between BC type orthogonal polynomials interpreted on quantum complex Grassmannians

- M. Dijkhuizen, J. Stokman
- Mathematics
- 23 June 1998

The quantum complex Grassmannian U_q/K_q of rank l is the quotient of the quantum unitary group U_q=U_q(n) by the quantum subgroup K_q=U_q(n-l)xU_q(l). We show that (U_q,K_q) is a quantum Gelfand… Expand

Hyperbolic beta integrals

- J. Stokman
- Mathematics
- 14 March 2003

Abstract Hyperbolic beta integrals are analogues of Euler's beta integral in which the role of Euler's gamma function is taken over by Ruijsenaars’ hyperbolic gamma function. They may be viewed as… Expand

Multivariable big and little q -Jacobi polynomials

- J. Stokman
- Mathematics
- 1 March 1997

A four-parameter family of multivariable big q-Jacobi polynomials and a three-parameter family of multivariable little q-Jacobi polynomials are introduced. For both families, full orthogonality is… Expand

Multivariable q-Racah polynomials

- J. V. Diejen, J. Stokman
- Mathematics, Chemistry
- 1 July 1996

The Koornwinder-Macdonald multivariable generalization of the Askey-Wilson polynomials is studied for parameters satisfying a truncation condition such that the orthogonality measure becomes discrete… Expand

On BC type basic hypergeometric orthogonal polynomials

- J. Stokman
- Mathematics
- 3 July 1997

The five parameter family of multivariable Askey-Wilson polynomials is studied with four parameters generically complex. The multivariable Askey-Wilson polynomials form an orthogonal system with… Expand

Koornwinder polynomials and affine Hecke algebras

- J. Stokman
- Mathematics
- 11 February 2000

In this paper we derive the bi-orthogonality relations, diagonal term evaluations and evaluation formulas for the non-symmetric Koornwinder polynomials. For the derivation we use certain… Expand

Generalized Onsager Algebras

- J. Stokman
- Mathematics, Physics
- 17 October 2018

Let g(A)$\mathfrak {g}(A)$ be the Kac-Moody algebra with respect to a symmetrizable generalized Cartan matrix A. We give an explicit presentation of the fix-point Lie subalgebra k(A)$\mathfrak… Expand

...

1

2

3

4

5

...