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Izvestiya: Mathematics, 2017, Volume 81, Issue 1, Pages 156–178
DOI: https://doi.org/10.1070/IM8397 (Mi im8397) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Dunkl–Darboux differential-difference operators

S. P. Khekalo

State Socio-Humanitarian University, Kolomna, Moscow region
English version PDF (322 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/IM8397
Abstract: 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.
Funding agency Grant number
Russian Foundation for Basic Research 16-51-150005 НЦНИ_а
This paper was written with the financial support of RFBR (grant no. 16-51-150005 NCNI_a).
Received: 21.04.2015
Revised: 18.03.2016
Bibliographic databases:
Document Type: Article
UDC: 517.929.2
MSC: 33C70, 33D50, 13N10, 37K10
Language: English
Original paper language: Russian
Citation: S. P. Khekalo, “Dunkl–Darboux differential-difference operators”, Izv. Math., 81:1 (2017), 156–178
Citation in format AMSBIB
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\paper Dunkl--Darboux differential-difference operators
\jour Izv. Math.
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\vol 81
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\pages 156--178
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  • https://doi.org/10.1070/IM8397
  • https://www.mathnet.ru/eng/im/v81/i1/p161
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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