A d-orthogonal polynomial set of Meixner type

In this contribution, a new set of ๐‘‘-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.

Authors

Publication Details

Journal
Problemy analiza
Published
2025-02-01
DOI
https://doi.org/10.15393/j3.art.2025.16150
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00
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article

A d-orthogonal polynomial set of Meixner type

Ahmad Nasri, Wissem Benamira
Problemy analiza
Mathematical functions and polynomials
article

A d-orthogonal polynomial set of Meixner type

Ahmad Nasri, Wissem Benamira
article en

Abstract

In this contribution, a new set of ๐‘‘-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.

Problemy analizaVol. 32(1)
Openalex Percentile: Top 94%
Mathematical functions and polynomials
DOIOpen Access PDFOpenAlex
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A d-orthogonal polynomial set of Meixner type โ€” Ahmad Nasri, Wissem Benamira ยท Problemy analiza (2025) | TGRS Research Map | TGRS