On a family of q-modified-Laguerre-Appell polynomials
This paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored. Also, certain interesting properties related to this cl...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Arab Journal of Basic and Applied Sciences |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/25765299.2024.2314282 |
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| author | Mohammed Fadel Abdulghani Muhyi |
| author_facet | Mohammed Fadel Abdulghani Muhyi |
| author_sort | Mohammed Fadel |
| collection | DOAJ |
| description | This paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored. Also, certain interesting properties related to this class and some of its members are investigated. Furthermore, the class of 2D q-modified Laguerre-Appell polynomials is introduced. Finally, we present certain graphical representations related to some members of these new classes. |
| format | Article |
| id | doaj-art-c52ad17e7fd04c309f84657f0efaff1a |
| institution | DOAJ |
| issn | 2576-5299 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Arab Journal of Basic and Applied Sciences |
| spelling | doaj-art-c52ad17e7fd04c309f84657f0efaff1a2025-08-20T02:49:26ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992024-12-0131116517610.1080/25765299.2024.2314282On a family of q-modified-Laguerre-Appell polynomialsMohammed Fadel0Abdulghani Muhyi1Department of Mathematics, Lahj University, Lahj, YemenDepartment of Mathematics, Hajjah University, Hajjah, YemenThis paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored. Also, certain interesting properties related to this class and some of its members are investigated. Furthermore, the class of 2D q-modified Laguerre-Appell polynomials is introduced. Finally, we present certain graphical representations related to some members of these new classes.https://www.tandfonline.com/doi/10.1080/25765299.2024.2314282q-Appell polynomialsdeterminant definitionq-modified-Laguerre polynomials33E2011B6811B83 |
| spellingShingle | Mohammed Fadel Abdulghani Muhyi On a family of q-modified-Laguerre-Appell polynomials Arab Journal of Basic and Applied Sciences q-Appell polynomials determinant definition q-modified-Laguerre polynomials 33E20 11B68 11B83 |
| title | On a family of q-modified-Laguerre-Appell polynomials |
| title_full | On a family of q-modified-Laguerre-Appell polynomials |
| title_fullStr | On a family of q-modified-Laguerre-Appell polynomials |
| title_full_unstemmed | On a family of q-modified-Laguerre-Appell polynomials |
| title_short | On a family of q-modified-Laguerre-Appell polynomials |
| title_sort | on a family of q modified laguerre appell polynomials |
| topic | q-Appell polynomials determinant definition q-modified-Laguerre polynomials 33E20 11B68 11B83 |
| url | https://www.tandfonline.com/doi/10.1080/25765299.2024.2314282 |
| work_keys_str_mv | AT mohammedfadel onafamilyofqmodifiedlaguerreappellpolynomials AT abdulghanimuhyi onafamilyofqmodifiedlaguerreappellpolynomials |