84 citations · 737 across the 52 of their papers we have counts for
53 papers
Elementary Askey-Wilson Functions
J. F. van Diejen, A. N. Kirillov
We present a determinantal evaluation formula for the very-well-poised basic hypergeometric Askey-Wilson function in terms of elementary functions. The formula in questio…
Affine Pieri rule for periodic Macdonald spherical functions and fusion rings
Jan Felipe van Diejen, Erdal Emsiz, Ignacio N. Zurrián
Let be an untwisted affine Lie algebra or the twisted counterpart thereof (which excludes the affine Lie algebras of type ). We pr…
Cubature rules for unitary Jacobi ensembles
Jan Felipe van Diejen, Erdal Emsiz
We present Chebyshev type cubature rules for the exact integration of rational symmetric functions with poles on prescribed coordinate hyperplanes. Here the integration is with res…
Cubature rules from Hall-Littlewood polynomials
Jan Felipe van Diejen, Erdal Emsiz
Discrete orthogonality relations for Hall-Littlewood polynomials are employed, so as to derive cubature rules for the integration of homogeneous symmetric functions with respect to…
Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions
Jan Felipe van Diejen, Erdal Emsiz
Starting from the hyperoctahedral multivariate hypergeometric function of Heckman and Opdam (associated with the root system), we arrive -- via partial confluent limits in t…
Spectral analysis of an open -difference Toda chain with two-sided boundary interactions on the finite integer lattice
Jan Felipe van Diejen
A quantum -particle model consisting of an open -difference Toda chain with two-sided boundary interactions is placed on a finite integer lattice. The spectrum and eigenbasis…