Abstract
In this paper, we classify nonsymmetric Dunkl-classical linear functionals. Firstly, we reduce the characterization of a Dunkl-classical linear functional given by the first author in a previous work to a -distributional equation of Pearson’s type. Secondly, after rescaling the parameters, we prove that the unique nonsymmetric Dunkl-classical linear functional is the perturbed generalized Gegenbauer form.
Notes
No potential conflict of interest was reported by the authors.