Geodesic
A $d$-orthogonal polynomial set of Meixner type
Problemy analiza, Tome 14 (2025) no. 1, pp. 22-41

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In this contribution, a new set of $d$-orthogonal polynomials of Meixner type is introduced. Some properties of these polynomials, including an explicit formula, hypergeometric representation, as well as higher-order recurrence relation, and difference equation, are analyzed.
Keywords: $d$-orthogonality, Meixner polynomials, generating function, recurrence relation, difference equation. 
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     author = {W. Benamira and A. Nasri},
     title = {A $d$-orthogonal polynomial set of {Meixner} type},
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W. Benamira; A. Nasri. A $d$-orthogonal polynomial set of Meixner type. Problemy analiza, Tome 14 (2025) no. 1, pp. 22-41. http://geodesic.mathdoc.fr/item/PA_2025_14_1_a1/