On Some Difference Sequence Spaces of Bi-complex Numbers

Authors

  • Purushottam Parajuli Department of Mathematics, Tribhuvan University, Prithvi Narayan Campus, Pokhara
  • Narayan Prasad Pahari Central Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu
  • Jhavi Lal Ghimire Central Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu
  • Molhu Prasad Jaiswal Department of Mathematics, Tribhuvan University, Bhairahawa Campus, Bhairahawa

Keywords:

Bi-complex numbers, Difference sequence space, Solidness, Completeness, Convexity

Abstract

In this paper, we study difference sequence spaces ℓ_∞(∆), c(∆), and c_0(∆) in the context of bicomplex numbers. We show that these spaces form a linear vector space. Further, we explore their algebraic, topological, and geometric properties. Several illustrative examples are also provided to support the results.

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Published

2025-06-24

How to Cite

On Some Difference Sequence Spaces of Bi-complex Numbers. (2025). Journal of Nepal Mathematical Society, 8(1), 76-82. https://doi.org/10.3126/jnms.v8i1.80308

Issue

Vol. 8 No. 1 (2025)

Section

Articles

License

© Nepal Mathematical Society

How to Cite

On Some Difference Sequence Spaces of Bi-complex Numbers. (2025). Journal of Nepal Mathematical Society, 8(1), 76-82. https://doi.org/10.3126/jnms.v8i1.80308