Leonardo Numbers and their Bicomplex Extension

Authors

  • Molhu Prasad Jaiswal Tribhuvan University, Bhairahawa Multiple Campus, Nepal
  • Narayan Prasad Pahari Tribhuvan University, Kirtipur, Kathmandu, Nepal
  • Purushottam Parajuli Tribhuvan University, Prithvi Narayan Campus, Nepal

DOI:

https://doi.org/10.3126/njmathsci.v6i2.83832

Keywords:

Bicomplex Leonardo numbers, Binet’s formulas, Fibonacci numbers, Leonardo numbers, Lucas numbers

Abstract

This paper introduces a new type of Leonardo numbers, referred to as bicomplex Leonardoi numbers. Also, some important relations, including the generating function, Binet's formula, D'Ocagne's identity, Cassini’s identity, and Catalan’s identity. Furthermore, we present the relationship between Lucas, Fibonacci, and Leonardo numbers.

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Author Biographies

Molhu Prasad Jaiswal, Tribhuvan University, Bhairahawa Multiple Campus, Nepal

Department of Mathematics

Narayan Prasad Pahari, Tribhuvan University, Kirtipur, Kathmandu, Nepal

Central Department of Mathematics

Purushottam Parajuli, Tribhuvan University, Prithvi Narayan Campus, Nepal

Department of Mathematics

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Published

2025-09-10

How to Cite

Jaiswal, M. P., Pahari, N. P., & Parajuli, P. (2025). Leonardo Numbers and their Bicomplex Extension . Nepal Journal of Mathematical Sciences, 6(2), 67–76. https://doi.org/10.3126/njmathsci.v6i2.83832

Issue

Vol. 6 No. 2 (2025)

Section

Articles

License

© School of Mathematical Sciences, Tribhuvan University