A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPE
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.
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| Format: | Article |
| Language: | English |
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Petrozavodsk State University
2024-12-01
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| Series: | Проблемы анализа |
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| Online Access: | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16150&lang=en |
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| author | W. Benamira A. Nasri |
| author_facet | W. Benamira A. Nasri |
| author_sort | W. Benamira |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a91806b7937f4e44a601bafca54a8bee |
| institution | DOAJ |
| issn | 2306-3424 2306-3432 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Petrozavodsk State University |
| record_format | Article |
| series | Проблемы анализа |
| spelling | doaj-art-a91806b7937f4e44a601bafca54a8bee2025-08-20T03:06:44ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322024-12-0114 (32)1224110.15393/j3.art.2025.16150A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPEW. Benamira0A. Nasri1Faculty of Exact Sciences and Informatics LMAM Laboratory and Department of Mathematics Mohamed Seddik Ben Yahia UniversityFaculty of Exact Sciences and Informatics LMAM Laboratory and Department of Mathematics Mohamed Seddik Ben Yahia UniversityIn 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.https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16150&lang=en𝑑-orthogonalitymeixner polynomialsgenerating func- tionrecurrence relationdifference equation |
| spellingShingle | W. Benamira A. Nasri A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPE Проблемы анализа 𝑑-orthogonality meixner polynomials generating func- tion recurrence relation difference equation |
| title | A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPE |
| title_full | A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPE |
| title_fullStr | A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPE |
| title_full_unstemmed | A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPE |
| title_short | A 𝑑-ORTHOGONAL POLYNOMIAL SET OF MEIXNER TYPE |
| title_sort | 𝑑 orthogonal polynomial set of meixner type |
| topic | 𝑑-orthogonality meixner polynomials generating func- tion recurrence relation difference equation |
| url | https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=16150&lang=en |
| work_keys_str_mv | AT wbenamira adorthogonalpolynomialsetofmeixnertype AT anasri adorthogonalpolynomialsetofmeixnertype AT wbenamira dorthogonalpolynomialsetofmeixnertype AT anasri dorthogonalpolynomialsetofmeixnertype |