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Operational rules and d-orthogonal polynomials of Laguerre type
Journal article   Peer reviewed

Operational rules and d-orthogonal polynomials of Laguerre type

H. Chaggara and S. Boussorra
Integral transforms and special functions, Vol.34(2), pp.145-161
01/02/2023
DOI: https://doi.org/10.1080/10652469.2022.2095560

Abstract

d-orthogonal polynomials of Laguerre type d-Orthogonality generating functions lowering operator quasi-monomiality principle
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.

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