36 citations · 214 across the 29 of their papers we have counts for
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Bispectral dual difference equations for the quantum Toda chain with boundary perturbations
J. F. van Diejen, E. Emsiz
We show that hyperoctahedral Whittaker functions---diagonalizing an open quantum Toda chain with one-sided boundary potentials of Morse type---satisfy a dual system of difference e…
Exact cubature rules for symmetric functions
J. F. van Diejen, E. Emsiz
We employ a multivariate extension of the Gauss quadrature formula, originally due to Berens, Schmid and Xu [BSX95], so as to derive cubature rules for the integration of symmetric…
Solutions of convex Bethe Ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials
J. F. van Diejen, E. Emsiz
Via the solutions of systems of algebraic equations of Bethe Ansatz type, we arrive at bounds for the zeros of orthogonal (basic) hypergeometric polynomials belonging to the Askey-…
Quadrature rules from finite orthogonality relations for Bernstein-Szego polynomials
J. F. van Diejen, E. Emsiz
We glue two families of Bernstein-Szego polynomials to construct the eigenbasis of an associated finite-dimensional Jacobi matrix. This gives rise to finite orthogonality relations…
Discrete Fourier transform associated with generalized Schur polynomials
J. F. van Diejen, E. Emsiz
We prove the Plancherel formula for a four-parameter family of discrete Fourier transforms and their multivariate generalizations stemming from corresponding generalized Schur poly…