Geodesic
Dunkl--Darboux differential-difference operators
Izvestiya. Mathematics , Tome 81 (2017) no. 1, pp. 156-178

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Using a natural generalization, we construct and study analogues of Dunkl differential-difference operators on the line. These analogues turn out to be closely connected with the so-called Burchnall–Chaundy–Adler–Moser polynomials and, therefore, with Darboux transforms. We find the eigenfunctions of these operators.
Keywords: differential-difference operators, rational Dunkl operators, Burchnall–Chaundy–Adler–Moser polynomials, eigenfunctions. 
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     author = {S. P. Khekalo},
     title = {Dunkl--Darboux differential-difference operators},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2017_81_1_a5/}
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S. P. Khekalo. Dunkl--Darboux differential-difference operators. Izvestiya. Mathematics , Tome 81 (2017) no. 1, pp. 156-178. http://geodesic.mathdoc.fr/item/IM2_2017_81_1_a5/