Certain families of differential equations associated with the generalized 1-parameter Hermite–Frobenius Euler polynomials
This study introduces a new approach to the development of generalized 1-parameter, 2-variable Hermite–Frobenius–Euler polynomials, which are characterized by their generating functions, series definitions and summation formulae. Additionally, the research utilizes a factorization method to establis...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Mathematical and Computer Modelling of Dynamical Systems |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/13873954.2024.2396713 |
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| author | Mohra Zayed Shahid Ahmad Wani Mir Subzar Mumtaz Riyasat |
| author_facet | Mohra Zayed Shahid Ahmad Wani Mir Subzar Mumtaz Riyasat |
| author_sort | Mohra Zayed |
| collection | DOAJ |
| description | This study introduces a new approach to the development of generalized 1-parameter, 2-variable Hermite–Frobenius–Euler polynomials, which are characterized by their generating functions, series definitions and summation formulae. Additionally, the research utilizes a factorization method to establish recurrence relations, shift operators and various differential equations, including differential, integro-differential and partial differential equations. The framework elucidates the fundamental properties of these polynomials by utilizing generating functions, series definitions and summation formulae. The results of the study contribute to the understanding of the properties of these polynomials and their potential applications. |
| format | Article |
| id | doaj-art-0a8f71909f3a45c7a674d1e82fc29ec7 |
| institution | OA Journals |
| issn | 1387-3954 1744-5051 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Mathematical and Computer Modelling of Dynamical Systems |
| spelling | doaj-art-0a8f71909f3a45c7a674d1e82fc29ec72025-08-20T01:59:09ZengTaylor & Francis GroupMathematical and Computer Modelling of Dynamical Systems1387-39541744-50512024-12-0130168370010.1080/13873954.2024.2396713Certain families of differential equations associated with the generalized 1-parameter Hermite–Frobenius Euler polynomialsMohra Zayed0Shahid Ahmad Wani1Mir Subzar2Mumtaz Riyasat3Mathematics Department, College of Science, King Khalid University, Abha, Saudi ArabiaSymbiosis Institute of Technology, Pune Campus, Symbiosis International (Deemed University), Pune, IndiaUIM (United World Institute of Management), Gandhinagar, Gujarat, IndiaDepartment of Applied Mathematics, Faculty of Engineering and Technology, Aligarh Muslim University, Aligarh, IndiaThis study introduces a new approach to the development of generalized 1-parameter, 2-variable Hermite–Frobenius–Euler polynomials, which are characterized by their generating functions, series definitions and summation formulae. Additionally, the research utilizes a factorization method to establish recurrence relations, shift operators and various differential equations, including differential, integro-differential and partial differential equations. The framework elucidates the fundamental properties of these polynomials by utilizing generating functions, series definitions and summation formulae. The results of the study contribute to the understanding of the properties of these polynomials and their potential applications.https://www.tandfonline.com/doi/10.1080/13873954.2024.23967131-parameter generalized Hermite–Frobenius–Euler polynomialsrecurrence relationsdifferential equations |
| spellingShingle | Mohra Zayed Shahid Ahmad Wani Mir Subzar Mumtaz Riyasat Certain families of differential equations associated with the generalized 1-parameter Hermite–Frobenius Euler polynomials Mathematical and Computer Modelling of Dynamical Systems 1-parameter generalized Hermite–Frobenius–Euler polynomials recurrence relations differential equations |
| title | Certain families of differential equations associated with the generalized 1-parameter Hermite–Frobenius Euler polynomials |
| title_full | Certain families of differential equations associated with the generalized 1-parameter Hermite–Frobenius Euler polynomials |
| title_fullStr | Certain families of differential equations associated with the generalized 1-parameter Hermite–Frobenius Euler polynomials |
| title_full_unstemmed | Certain families of differential equations associated with the generalized 1-parameter Hermite–Frobenius Euler polynomials |
| title_short | Certain families of differential equations associated with the generalized 1-parameter Hermite–Frobenius Euler polynomials |
| title_sort | certain families of differential equations associated with the generalized 1 parameter hermite frobenius euler polynomials |
| topic | 1-parameter generalized Hermite–Frobenius–Euler polynomials recurrence relations differential equations |
| url | https://www.tandfonline.com/doi/10.1080/13873954.2024.2396713 |
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