Burchnall--Chaundy Polynomials and Dunkl--Darboux Operators
Matematičeskie zametki, Tome 102 (2017) no. 2, pp. 284-291

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Certain properties of Burchnall–Chaundy polynomials are studied. The first two nonzero coefficients following the leading coefficient are calculated in explicit form. The Dunkl–Darboux differential-difference operators related to the Burchnall–Chaundy polynomials are considered. The eigenfunctions of these operators are described.
Keywords: Burchnall–Chaundy polynomial, Bessel function, Dunkl–Darboux operator.
@article{MZM_2017_102_2_a9,
     author = {V. V. Meshcheryakov},
     title = {Burchnall--Chaundy {Polynomials} and {Dunkl--Darboux} {Operators}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {284--291},
     publisher = {mathdoc},
     volume = {102},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_2_a9/}
}
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V. V. Meshcheryakov. Burchnall--Chaundy Polynomials and Dunkl--Darboux Operators. Matematičeskie zametki, Tome 102 (2017) no. 2, pp. 284-291. http://geodesic.mathdoc.fr/item/MZM_2017_102_2_a9/