A notion of fractional slice monogenic functions with respect to a pair of real valued functions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866911170104918016 |
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| author | Cervantes, José Oscar González Bory-Reyes, Juan |
| author_facet | Cervantes, José Oscar González Bory-Reyes, Juan |
| contents | This work presents the basic elements and results of a Clifford algebra valued fractional slice monogenic functions theory defined from the null-solutions of a suitably fractional Cauchy-Riemann operator in the Riemann-Liouville and Caputo sense with respect to a pair of real valued functions on certain domains of Euclidean spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_11198 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A notion of fractional slice monogenic functions with respect to a pair of real valued functions Cervantes, José Oscar González Bory-Reyes, Juan Complex Variables 26A33, 30G30, 30G35, 32A30, 45P05 This work presents the basic elements and results of a Clifford algebra valued fractional slice monogenic functions theory defined from the null-solutions of a suitably fractional Cauchy-Riemann operator in the Riemann-Liouville and Caputo sense with respect to a pair of real valued functions on certain domains of Euclidean spaces. |
| title | A notion of fractional slice monogenic functions with respect to a pair of real valued functions |
| topic | Complex Variables 26A33, 30G30, 30G35, 32A30, 45P05 |
| url | https://arxiv.org/abs/2411.11198 |