On the k-Bicomplex Gamma and k-Bicomplex Beta Functions and Their Properties
This paper intends to extend certain special functions from one complex variable to the bicomplex setting. Specifically, we define the k-bicomplex Gamma and k-bicomplex Beta functions. Subsequently, several properties and formulas pertaining to k-bicomplex Gamma, k-bicomplex Beta, and k-shifted fact...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/2657169 |
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| _version_ | 1850026716199649280 |
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| author | Mohra Zayed Ahmed Bakhet Mohamed Fathi Mohammed A. Saleem |
| author_facet | Mohra Zayed Ahmed Bakhet Mohamed Fathi Mohammed A. Saleem |
| author_sort | Mohra Zayed |
| collection | DOAJ |
| description | This paper intends to extend certain special functions from one complex variable to the bicomplex setting. Specifically, we define the k-bicomplex Gamma and k-bicomplex Beta functions. Subsequently, several properties and formulas pertaining to k-bicomplex Gamma, k-bicomplex Beta, and k-shifted factorial are derived. We also explore applications of the k-bicomplex Pochhammer symbol based on these results. |
| format | Article |
| id | doaj-art-5cbf76901fce4ff3a018b25c5af709a6 |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-5cbf76901fce4ff3a018b25c5af709a62025-08-20T03:00:27ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/2657169On the k-Bicomplex Gamma and k-Bicomplex Beta Functions and Their PropertiesMohra Zayed0Ahmed Bakhet1Mohamed Fathi2Mohammed A. Saleem3Mathematics DepartmentCollege of Mathematics and System SciencesMathematics DepartmentMathematics DepartmentThis paper intends to extend certain special functions from one complex variable to the bicomplex setting. Specifically, we define the k-bicomplex Gamma and k-bicomplex Beta functions. Subsequently, several properties and formulas pertaining to k-bicomplex Gamma, k-bicomplex Beta, and k-shifted factorial are derived. We also explore applications of the k-bicomplex Pochhammer symbol based on these results.http://dx.doi.org/10.1155/jom/2657169 |
| spellingShingle | Mohra Zayed Ahmed Bakhet Mohamed Fathi Mohammed A. Saleem On the k-Bicomplex Gamma and k-Bicomplex Beta Functions and Their Properties Journal of Mathematics |
| title | On the k-Bicomplex Gamma and k-Bicomplex Beta Functions and Their Properties |
| title_full | On the k-Bicomplex Gamma and k-Bicomplex Beta Functions and Their Properties |
| title_fullStr | On the k-Bicomplex Gamma and k-Bicomplex Beta Functions and Their Properties |
| title_full_unstemmed | On the k-Bicomplex Gamma and k-Bicomplex Beta Functions and Their Properties |
| title_short | On the k-Bicomplex Gamma and k-Bicomplex Beta Functions and Their Properties |
| title_sort | on the k bicomplex gamma and k bicomplex beta functions and their properties |
| url | http://dx.doi.org/10.1155/jom/2657169 |
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