84 citations · 737 across the 52 of their papers we have counts for
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Elliptic Racah polynomials
Jan Felipe van Diejen, Tamás Görbe
Upon solving a finite discrete reduction of the difference Heun equation, we arrive at an elliptic generalization of the Racah polynomials. We exhibit the three-term recurrence rel…
Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials
J. F. van Diejen
We show that the gradient flows associated with a recently found family of Morse functions converge exponentially to the roots of the symmetric continuous Hahn polynomials. By symm…
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-…
Remarks on the Zeros of the Associated Legendre Functions with Integral Degree
J. F. van Diejen
We present some formulas for the computation of the zeros of the integral-degree associated Legendre functions with respect to the order.
Asymptotics of multivariate orthogonal polynomials with hyperoctahedral symmetry
J. F. van Diejen
We present a formula describing the asymptotics of a class of multivariate orthogonal polynomials with hyperoctahedral symmetry as the degree tends to infinity. The polynomials und…
Unit circle elliptic beta integrals
J. F. van Diejen, V. P. Spiridonov
We present some elliptic beta integrals with a base parameter on the unit circle, together with their basic degenerations.