On the k-Bicomplex Gamma and k-Bicomplex Beta Functions and Their Properties

Mohra Zayed, Ahmed Bakhet, Mohamed Fathi and Mohammed A. Saleem

Journal of Mathematics, 2025, vol. 2025, 1-13

Abstract: 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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2657169

DOI: 10.1155/jom/2657169

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