On the dual valued generalized hypergeometric function and its special cases
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915410291458048 |
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| author | Dwivedi, Ravi Cortés, Juan Carlos |
| author_facet | Dwivedi, Ravi Cortés, Juan Carlos |
| contents | This paper explores the calculus of dual-valued functions and investigates the gamma function, beta function and generalized hypergeometric functions by incorporating dual numbers as parameters and variables. We examine its fundamental properties, including regions of convergence, differential equations, and integral representations. Furthermore, we provide an in-depth discussion on the various properties of the dual confluent and Gauss hypergeometric functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_19501 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the dual valued generalized hypergeometric function and its special cases Dwivedi, Ravi Cortés, Juan Carlos General Mathematics This paper explores the calculus of dual-valued functions and investigates the gamma function, beta function and generalized hypergeometric functions by incorporating dual numbers as parameters and variables. We examine its fundamental properties, including regions of convergence, differential equations, and integral representations. Furthermore, we provide an in-depth discussion on the various properties of the dual confluent and Gauss hypergeometric functions. |
| title | On the dual valued generalized hypergeometric function and its special cases |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2507.19501 |