Abstract
In this paper, we characterize the Dunkl–Appell d-orthogonal polynomials. Various properties of the obtained polynomials are singled out: a generating function, a (d+1)-order recurrence relation and a differential-difference equation. We also explicitly express the d-dimensional functional for which the d-orthogonality holds. A detailed discussion of the (d+1)-symmetric solutions is presented. Some relationships between the obtained polynomials and some known orthogonal polynomial families are established.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
More From: Integral Transforms and Special Functions
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
