Email this article Burchnall–Chaundy polynomials and Dunkl–Darboux operators
- Authors: Meshcheryakov V.V.1
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Affiliations:
- State Social-Humanitarian University
- Issue: Vol 102, No 1-2 (2017)
- Pages: 261-267
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150097
- DOI: https://doi.org/10.1134/S0001434617070276
- ID: 150097
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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.
About the authors
V. V. Meshcheryakov
State Social-Humanitarian University
Author for correspondence.
Email: metcherykov@mail.ru
Russian Federation, Kolomna, Moscow Oblast
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