On Some Sequence Spaces of Bicomplex Numbers

Authors

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

DOI:

https://doi.org/10.3126/njmathsci.v6i1.77374

Keywords:

Bi-complex numbers, Euclidean norm, Banach space, Convexity, Uniform convexity

Abstract

In 1892, Segre introduced the concept of bi-complex numbers. The main contribution in bicomplex analysis was the pioneering works in Functional analysis. It is a new subject, not only relevant from a mathematical point of view, but also has significant applications in physics and engineering.

This article provides an overview of bi-complex numbers and examines the completeness of certain sequence spaces of bi-complex numbers. Additionally, the study explores their algebraic, topological, and geometric properties, contributing to a deeper understanding of these spaces.

Downloads

Download data is not yet available.
Abstract
0
PDF
0
Cover NJMS

Downloads

Published

2025-04-21

How to Cite

Parajuli, P., Pahari, N. P., Ghimire, J. L., & Jaiswal, M. P. (2025). On Some Sequence Spaces of Bicomplex Numbers. Nepal Journal of Mathematical Sciences, 6(1), 35–44. https://doi.org/10.3126/njmathsci.v6i1.77374

Issue

Vol. 6 No. 1 (2025)

Section

Articles

License

© School of Mathematical Sciences, Tribhuvan University