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Matematicheskie Zametki, 2017, Volume 102, Issue 2, Pages 284–291
DOI: https://doi.org/10.4213/mzm10803 (Mi mzm10803) 		 
Burchnall–Chaundy Polynomials and Dunkl–Darboux Operators

V. V. Meshcheryakov

State Socio-Humanitarian University, Kolomna, Moscow region
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DOI: https://doi.org/10.4213/mzm10803
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.
Keywords: Burchnall–Chaundy polynomial, Bessel function, Dunkl–Darboux operator.
Funding agency Grant number
Russian Foundation for Basic Research 16-51-150005
This work was supported by the Russian Foundation for Basic Research under grant 16-51-150005.
Received: 01.06.2015
Revised: 16.09.2016
English version:
Mathematical Notes, 2017, Volume 102, Issue 2, Pages 261–267
DOI: https://doi.org/10.1134/S0001434617070276
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: V. V. Meshcheryakov, “Burchnall–Chaundy Polynomials and Dunkl–Darboux Operators”, Mat. Zametki, 102:2 (2017), 284–291; Math. Notes, 102:2 (2017), 261–267
Citation in format AMSBIB
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