On monomiality property of q-Gould-Hopper-Appell polynomials
Recently, in the theory of q-special functions, the extension of the monomiality concept to q-special polynomials is introduced. This extension can be a beneficial tool for considering the quasi-monomiality of certain q-special polynomials. The article intends to reframe the q-Gould Hopper-Appell po...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2025-12-01
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| Series: | Arab Journal of Basic and Applied Sciences |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/25765299.2025.2457206 |
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| _version_ | 1832582720153190400 |
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| author | Nusrat Raza Mohammed Fadel Subuhi Khan |
| author_facet | Nusrat Raza Mohammed Fadel Subuhi Khan |
| author_sort | Nusrat Raza |
| collection | DOAJ |
| description | Recently, in the theory of q-special functions, the extension of the monomiality concept to q-special polynomials is introduced. This extension can be a beneficial tool for considering the quasi-monomiality of certain q-special polynomials. The article intends to reframe the q-Gould Hopper-Appell polynomials via the extension of the monomiality principle concept and establish their properties. Certain examples are considered. Concluding observations are specified for certain results of q-Gould-Hopper-Sheffer polynomials from the viewpoint of the operational identity of q-Gould-Hopper-Appell polynomials. |
| format | Article |
| id | doaj-art-ed9dfd3761894f8294fc692c9bbe5ad9 |
| institution | Kabale University |
| issn | 2576-5299 |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Arab Journal of Basic and Applied Sciences |
| spelling | doaj-art-ed9dfd3761894f8294fc692c9bbe5ad92025-01-29T11:54:22ZengTaylor & Francis GroupArab Journal of Basic and Applied Sciences2576-52992025-12-01321212910.1080/25765299.2025.2457206On monomiality property of q-Gould-Hopper-Appell polynomialsNusrat Raza0Mohammed Fadel1Subuhi Khan2Mathematics Section, Women’s College, Aligarh Muslim University, Aligarh, IndiaDepartment of Mathematics, Lahej University, Lahej, YemenDepartment of Mathematics, Aligarh Muslim University, Aligarh, IndiaRecently, in the theory of q-special functions, the extension of the monomiality concept to q-special polynomials is introduced. This extension can be a beneficial tool for considering the quasi-monomiality of certain q-special polynomials. The article intends to reframe the q-Gould Hopper-Appell polynomials via the extension of the monomiality principle concept and establish their properties. Certain examples are considered. Concluding observations are specified for certain results of q-Gould-Hopper-Sheffer polynomials from the viewpoint of the operational identity of q-Gould-Hopper-Appell polynomials.https://www.tandfonline.com/doi/10.1080/25765299.2025.2457206Monomiality principle extensionq-Appell polynomialsq-dilatation operatorq-Gould Hopper polynomialsq-Sheffer polynomialsquantum calculus |
| spellingShingle | Nusrat Raza Mohammed Fadel Subuhi Khan On monomiality property of q-Gould-Hopper-Appell polynomials Arab Journal of Basic and Applied Sciences Monomiality principle extension q-Appell polynomials q-dilatation operator q-Gould Hopper polynomials q-Sheffer polynomials quantum calculus |
| title | On monomiality property of q-Gould-Hopper-Appell polynomials |
| title_full | On monomiality property of q-Gould-Hopper-Appell polynomials |
| title_fullStr | On monomiality property of q-Gould-Hopper-Appell polynomials |
| title_full_unstemmed | On monomiality property of q-Gould-Hopper-Appell polynomials |
| title_short | On monomiality property of q-Gould-Hopper-Appell polynomials |
| title_sort | on monomiality property of q gould hopper appell polynomials |
| topic | Monomiality principle extension q-Appell polynomials q-dilatation operator q-Gould Hopper polynomials q-Sheffer polynomials quantum calculus |
| url | https://www.tandfonline.com/doi/10.1080/25765299.2025.2457206 |
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