Statistical convergence of double sequences of bi-complex numbers
Keywords:
double sequences, statistical convergence, bi-complex numbers, $\mathbb{BC}$-convex, $\mathbb{BC}$-stritly convex, $\mathbb{BC}$- uniformly convexAbstract
This article presents the concepts of statistically bounded, statistically bounded convergence, statistically bounded null, statistically regular convergence, statistically regular null double sequences of bi-complex numbers, statistically convergent double sequences in Pringsheim's sense, and statistically null double sequences in Pringsheim's sense. We have established that these spaces are linear, and we have demonstrated their many algebraic, topological, and geometric properties using the Euclidean norm defined on bi-complex numbers. Suitable examples have been discussed.
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Published
2025-09-28
How to Cite
Kumar, S., & Tripathy, B. . C. (2025). Statistical convergence of double sequences of bi-complex numbers. International Journal of Maps in Mathematics, 8(2), 751–768. Retrieved from https://simadp.com/journalmim/article/view/309
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