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Some Results on Bicomplex Numbers and Bicomplex Functions

Department of Mathematics, Faculty of Science, University of Tabuk, PO Box 4279, Tabuk 71491, Saudi Arabia.

Department of Mathematics, University of Ostrava, Mlynska 702/5, 702 00 Moravska Ostrava, Czechia.

Department of Mathematics, University Center for Research and Development Chandigarh University, Mohali-140243, Punjab, India.

* Corresponding Author

Annals of Communications in Mathematics 2024

, 8 (2),

303-316.

https://doi.org/10.62072/acm.2025.080213

Received: 28 May 2025 |

Accepted: 21 June 2025 |

Published: 30 June 2025

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Abstract

In this paper, we obtain some results on infinite products in bi-complex space, and the exact order of simultaneous results with quantitative estimate for the bi- complex gamma functions and bi-complex Beta functions. Finally using the specific re- sults of complex gamma operator and complex beta operator we introduce the bi-complex gamma functions and bi-complex beta operators and obtain some results.

Keywords

bi-complex Euler’s beta operator; bi-complex Euler’s gamma function; bi-complex holomorphic function; Bi-complex number; infinite product on bi- complex space

Cite This Article

Some Results on Bicomplex Numbers and Bicomplex Functions.

Annals of Communications in Mathematics,

2025,

8 (2):

303-316.

https://doi.org/10.62072/acm.2025.080213

Copyright © 2024 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).