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On IK-convergence of sequences of bi-complex numbers
J. Hossain, S. Debnath Department of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India
Abstract:
We propose the concept of IK-convergence of sequences of bi-complex numbers. We explore the fundamental properties of this newly introduced notion and its relationships with other convergence methods.
Keywords:
bi-complex number, ideal, filter, I-convergence, I∗-convergence, IK-convergence.
Received: 04.05.2024 Revised: 16.09.2024 Accepted: 09.09.2024
Citation:
J. Hossain, S. Debnath, “On IK-convergence of sequences of bi-complex numbers”, Probl. Anal. Issues Anal., 13(31):3 (2024), 43–55
Linking options:
https://www.mathnet.ru/eng/pa406 https://www.mathnet.ru/eng/pa/v31/i3/p43
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Abstract page: | 28 | Full-text PDF : | 19 | References: | 13 |
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