84 citations · 737 across the 52 of their papers we have counts for
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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…
Branching Rules for Symmetric Hypergeometric Polynomials
J. F. van Diejen, E. Emsiz
Starting from a recently found branching formula for the six-parameter family of symmetric Macdonald-Koornwinder polynomials, we arrive by degeneration at corresponding branching r…
Branching Formula for Macdonald-Koornwinder Polynomials
J. F. van Diejen, E. Emsiz
We present an explicit branching formula for the six-parameter Macdonald-Koornwinder polynomials with hyperoctahedral symmetry.
Bernstein-Szego Polynomials Associated with Root Systems
J. F. van Diejen, A. C. de la Maza, S. Ryom-Hansen
We introduce multivariate generalizations of the Bernstein-Szego polynomials, which are associated to the root systems of the complex simple Lie algebras. The multivariate polynomi…
Determinantal Construction of Orthogonal Polynomials Associated with Root Systems
Jan Felipe van Diejen, Luc Lapointe, Jennifer Morse
We consider semisimple triangular operators acting in the symmetric component of the group algebra over the weight lattice of a root system. We present a determinantal formula for…
On certain multiple Bailey, Rogers and Dougall type summation formulas
J. F. van Diejen
A multidimensional generalization of Bailey's very-well-poised bilateral basic hypergeometric summation formula and its Dougall type hypergeometric degeneration…