On Generalized Difference Sequences of Bicomplex Numbers and its Extension to n-Normed Related to m(φ)

Authors

  • Molhu Prasad Jaisawal Department of Mathematics, Tribhuvan University, Bhairahawa Multiple Campus, Bhairahawa,
  • Narayan Prasad Pahari Central Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu
  • Chet Raj Bhatta Central Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu
  • Purushottam Parajuli Department of Mathematics, Tribhuvan University, Prithivi Narayan Campus, Pokhara
  • Gobinda Adhikari Department of Mathematics, Tribhuvan University, Butwal Multiple Campus, Butwal

Keywords:

Bicomplex numbers, Generalized difference operator, n-Norm, n-Banach Space, Symmetricity

Abstract

In this work, we study some of the properties related to difference sequences of bicomplex numbers. In addition to these, we also introduce a new class of n-normed generalized difference sequences over bicomplex numbers associated with the p-space. This work extends classical results on generalized difference sequence spaces associated with m(φ) to the bicomplex framework. We introduce a few topological and algebraic properties, including completeness, the convergence-free property, symmetry, and solidness.

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Published

2026-08-10

How to Cite

Jaisawal, M. P., Pahari, N. P., Bhatta, C. R., Parajuli, P., & Adhikari, G. (2026). On Generalized Difference Sequences of Bicomplex Numbers and its Extension to n-Normed Related to m(φ). The Nepali Mathematical Sciences Report, 43(1), 17-28. https://doi.org/10.3126/nmsr.v43i1.98496

Issue

Vol. 43 No. 1 (2026)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report

How to Cite

Jaisawal, M. P., Pahari, N. P., Bhatta, C. R., Parajuli, P., & Adhikari, G. (2026). On Generalized Difference Sequences of Bicomplex Numbers and its Extension to n-Normed Related to m(φ). The Nepali Mathematical Sciences Report, 43(1), 17-28. https://doi.org/10.3126/nmsr.v43i1.98496