Abstract
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.
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References
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Original Russian Text © V. V. Meshcheryakov, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 2, pp. 284–291.
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Meshcheryakov, V.V. Burchnall–Chaundy polynomials and Dunkl–Darboux operators. Math Notes 102, 261–267 (2017). https://doi.org/10.1134/S0001434617070276
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DOI: https://doi.org/10.1134/S0001434617070276