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Bicomplex approach to double sequences |
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| รหัสดีโอไอ | |
| Creator | Birsen Sagir |
| Title | Bicomplex approach to double sequences |
| Contributor | Nilay Degirmen, Nihan Gungor |
| Publisher | Maejo University |
| Publication Year | 2568 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 19 |
| Journal No. | 3 |
| Page no. | 274 |
| Keyword | bicomplex number, hyperbolic valued norm, double sequence, convergence in Pringsheims sense |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | In this study we introduce bicomplex versions of double sequences, extending the classical theory of sequences to the bicomplex number system. Also, we discuss formal definitions of bicomplex double sequences and investigate their fundamental properties pertaining to the hyperbolic valued norm k which serves as a natural tool for measuring the magnitude of bicomplex numbers while preserving their algebraic characteristics. Furthermore, we give some examples to show the usability of our findings and applicability of the theoretical results. The findings offer a foundational contribution to bicomplex analysis with potential implications for functional analysis, operator theory and other areas of applied mathematics. |
