A NEW CHARACTERIZATION OF SYMMETRIC DUNKL AND \(q\)-DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS

In this paper, we consider the following \(\mathcal{L}\)-difference equation $$\Phi(x) \mathcal{L}P_{n+1}(x)=(\xi_nx+\vartheta_n)P_{n+1}(x)+\lambda_nP_{n}(x),\quad n\geq0,$$where \(\Phi\) is a monic polynomial (even), \(\deg\Phi\leq2\), \(\xi_n,\,\vartheta_n,\,\lambda_n,\,n\geq0\), are complex numbe...

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Autore principale:	Yahia Habbachi
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2023-12-01
Serie:	Ural Mathematical Journal
Soggetti:	orthogonal polynomials, dunkl operator, \(q\)-dunkl operator.
Accesso online:	https://umjuran.ru/index.php/umj/article/view/485
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