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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).
Additional information
Funding
The first author, Hamza Chaggara, would like to extend his appreciations to the Deanship of Scientific Research at King Khalid University for funding his work through General Research Project under Grant number (GRP-224/43).