ABSTRACT
We introduce in this paper the concept of Dunkl-coherent pair of forms (linear functionals) in the symmetric case. We prove that if is a Dunkl-symmetrically coherent pair of symmetric forms, then at least one of them has to be a symmetric Dunkl-classical form, i.e. Generalized Hermite or Generalized Gegenbauer polynomials.
Acknowledgments
The authors thank the referees for their careful revision of the manuscript and for the references brought to their notice. Their helpful comments and suggestions have contributed to improve the manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).