Bivariate q-Laguerre–Appell polynomials and their applications
Recently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered. Also, certain results including the monomiality properties of the q-Gould-Hopper polynomials are derived and applications of monomiality are explor...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2024-12-01
|
| Series: | Applied Mathematics in Science and Engineering |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/27690911.2024.2412545 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850174871997251584 |
|---|---|
| author | Mohammed Fadel Nusrat Raza Ahmed Al-Gonah Ugur Duran |
| author_facet | Mohammed Fadel Nusrat Raza Ahmed Al-Gonah Ugur Duran |
| author_sort | Mohammed Fadel |
| collection | DOAJ |
| description | Recently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered. Also, certain results including the monomiality properties of the q-Gould-Hopper polynomials are derived and applications of monomiality are explored for a few members of the q-Appell polynomial families. In this paper, the primary purpose of this paper is to define 2-variable q-Laguerre–Appell polynomials by applying the q-monomiality principle techniques and to study their quasi-monomial properties and applications. We provide some operational identities and quasi-monomial features. Also, we derive some q-differential equations of these polynomials. As applications, using the operational identity of 2-variable q-Laguerre–Appell polynomials we draw specific conclusions regarding several q-Laguerre–Appell polynomial families. Furthermore, we define the family of q-Laguerre-Sheffer polynomials by an operational approach and give some of its fundamental properties. |
| format | Article |
| id | doaj-art-d1dd24435b544ddfb080e59ff80bdd1e |
| institution | OA Journals |
| issn | 2769-0911 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj-art-d1dd24435b544ddfb080e59ff80bdd1e2025-08-20T02:19:34ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112024-12-0132110.1080/27690911.2024.2412545Bivariate q-Laguerre–Appell polynomials and their applicationsMohammed Fadel0Nusrat Raza1Ahmed Al-Gonah2Ugur Duran3Department of Mathematics, University of Lahej, Lahej, YemenMathematics section, Women's College, Aligarh Muslim University, Aligarh, IndiaDepartment of Mathematics, Faculty of Science, Aden University, Aden, Khormaksar, YemenDepartment of the Basic Concepts of Engineering, Faculty of Engineering and Natural Sciences, Iskenderun Technical University, Hatay, TurkiyeRecently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered. Also, certain results including the monomiality properties of the q-Gould-Hopper polynomials are derived and applications of monomiality are explored for a few members of the q-Appell polynomial families. In this paper, the primary purpose of this paper is to define 2-variable q-Laguerre–Appell polynomials by applying the q-monomiality principle techniques and to study their quasi-monomial properties and applications. We provide some operational identities and quasi-monomial features. Also, we derive some q-differential equations of these polynomials. As applications, using the operational identity of 2-variable q-Laguerre–Appell polynomials we draw specific conclusions regarding several q-Laguerre–Appell polynomial families. Furthermore, we define the family of q-Laguerre-Sheffer polynomials by an operational approach and give some of its fundamental properties.https://www.tandfonline.com/doi/10.1080/27690911.2024.2412545q-monomility principleq-Appell polynomials2-variable q-Laguerre polynomialsq-dilatation operator33C4511B68 |
| spellingShingle | Mohammed Fadel Nusrat Raza Ahmed Al-Gonah Ugur Duran Bivariate q-Laguerre–Appell polynomials and their applications Applied Mathematics in Science and Engineering q-monomility principle q-Appell polynomials 2-variable q-Laguerre polynomials q-dilatation operator 33C45 11B68 |
| title | Bivariate q-Laguerre–Appell polynomials and their applications |
| title_full | Bivariate q-Laguerre–Appell polynomials and their applications |
| title_fullStr | Bivariate q-Laguerre–Appell polynomials and their applications |
| title_full_unstemmed | Bivariate q-Laguerre–Appell polynomials and their applications |
| title_short | Bivariate q-Laguerre–Appell polynomials and their applications |
| title_sort | bivariate q laguerre appell polynomials and their applications |
| topic | q-monomility principle q-Appell polynomials 2-variable q-Laguerre polynomials q-dilatation operator 33C45 11B68 |
| url | https://www.tandfonline.com/doi/10.1080/27690911.2024.2412545 |
| work_keys_str_mv | AT mohammedfadel bivariateqlaguerreappellpolynomialsandtheirapplications AT nusratraza bivariateqlaguerreappellpolynomialsandtheirapplications AT ahmedalgonah bivariateqlaguerreappellpolynomialsandtheirapplications AT ugurduran bivariateqlaguerreappellpolynomialsandtheirapplications |