Abstract
The main aim of this paper is to introduce and investigate a new d-orthogonal family generalizing the Laguerre polynomial set. We use operational rules associated with corresponding lowering, raising and transfer operators to derive many related properties, namely, recurrence relation, d-orthogonality, functional vector of d-orthogonality, inversion and connection relations, differential equation, among others.
Acknowledgments
The authors thank the referee for his/her careful reading of the manuscript and for his constructive comments and suggestions.
Data availability statement
Data sharing not applicable to this article as no data sets were generated or analysed during the current study.
Disclosure statement
No potential conflict of interest was reported by the author(s).