A Note on the Dunkl-Appell Orthogonal Polynomials

Yıl 2020, Cilt: 8 Sayı: 2, 263 - 267, 27.10.2020

Mabrouk Sghaier

Öz

This paper deals with the problem of finding all orthogonal polynomial sets which are also $T_{\mu}$-Appell where $T_{\mu}, \mu \in \mathbb{C}$ is the Dunkl operator. The resulting polynomials reduce to Generalized Hermite polynomials $\{{{H}}_n(\mu)\}_{n\geq0}$.                                                                                                                                                                                                                                                                                                            

Anahtar Kelimeler

Orthogonal polynomials, Dual sequence, Dunkl operator

Kaynakça

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