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The rational Sklyanin algebra and the Wilson and para-Racah polynomials.
- Source :
- Journal of Mathematical Physics; Jun2022, Vol. 63 Issue 6, p1-14, 14p
- Publication Year :
- 2022
-
Abstract
- The relation between Wilson and para-Racah polynomials and representations of the degenerate rational Sklyanin algebra is established. Second-order Heun operators on quadratic grids with no diagonal terms are determined. These special or S-Heun operators lead to the rational degeneration of the Sklyanin algebra; they also entail the contiguity and structure operators of the Wilson polynomials. The finite-dimensional restriction yields a representation that acts on the para-Racah polynomials. [ABSTRACT FROM AUTHOR]
- Subjects :
- ALGEBRA
POLYNOMIAL operators
INDEPENDENT system operators
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 63
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 157741276
- Full Text :
- https://doi.org/10.1063/5.0050471