Abstract
The d -symmetric classical d -orthogonal polynomials are an extension of the standard symmetric classical polynomials according to the Hahn property. In this work, we give some characteristic properties for these polynomials related to generating functions and recurrence-differential equations. As applications, we characterize the d -symmetric classical d -orthogonal polynomials of Boas-Buck type, we construct a ( d + 1 ) -order linear differential equation with polynomial coefficients satisfied by each polynomial of a d -symmetric classical d -orthogonal set and we show that the d -symmetric classical d -orthogonal property is preserved by the derivative operator. Some of the obtained properties appear to be new, even for the case d = 1 .
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
