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 |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 2314-4785 |