42 citations · 585 across the 52 of their papers we have counts for
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math-ph2014★ 3 cited
On a pair of difference equations for the type orthogonal polynomials and related exactly-solvable quantum systems
E. I. Jafarov, N. I. Stoilova, J. Van der Jeugt
We introduce a pair of novel difference equations, whose solutions are expressed in terms of Racah or Wilson polynomials depending on the nature of the finite-difference step. A nu…
math.CA2014★ 22 cited
Generalized Fourier transforms arising from the enveloping algebras of sl(2) and osp(1|2)
H. De Bie, R. Oste, J. Van der Jeugt
The Howe dual pair (sl(2),O(m)) allows the characterization of the classical Fourier transform (FT) on the space of rapidly decreasing functions as the exponential of a well-chosen…