Donetsk Institute for Physics and Engineering named after O.O. Galkin

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19962026

most citedA "missing" family of classical orthogonal polynomials

1.6k citations

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math.QA2015★ 5 cited

The equitable presentation of $osp_{q} (1∣2)$ and a $q$ -analog of the Bannai-Ito algebra

Vincent X. Genest, Luc Vinet, Alexei Zhedanov

The equitable presentation of the quantum superalgebra $osp_{q} (1∣2)$ , in which all generators appear on an equal footing, is exhibited. It is observed that in their equit…

math.QA2015★ 8 cited

The quantum superalgebra $osp_{q} (1∣2)$ and a $q$ -generalization of the Bannai-Ito polynomials

Vincent X. Genest, Luc Vinet, Alexei Zhedanov

The Racah problem for the quantum superalgebra $osp_{q} (1∣2)$ is considered. The intermediate Casimir operators are shown to realize a $q$ -deformation of the Bannai-Ito…

math.QA2013★ 29 cited

A Laplace-Dunkl equation on $S^{2}$ and the Bannai-Ito algebra

Vincent X. Genest, Luc Vinet, Alexei Zhedanov

The analysis of the $Z_{2}^{3}$ Laplace-Dunkl equation on the $2$ -sphere is cast in the framework of the Racah problem for the Hopf algebra $s l_{- 1} (2)$ . The related Dunkl-L…

The equitable presentation of ospq​(1∣2) and a q-analog of the Bannai-Ito algebra

The quantum superalgebra ospq​(1∣2) and a q-generalization of the Bannai-Ito polynomials

A Laplace-Dunkl equation on S2 and the Bannai-Ito algebra

The equitable presentation of $osp_{q} (1∣2)$ and a $q$ -analog of the Bannai-Ito algebra

The quantum superalgebra $osp_{q} (1∣2)$ and a $q$ -generalization of the Bannai-Ito polynomials

A Laplace-Dunkl equation on $S^{2}$ and the Bannai-Ito algebra