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On Some Properties of Product of Fibonacci and Lucas Numbers

by Yashwant K. Panwar, Minal Gwala, Ronak Goyal
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 186 - Number 81
Year of Publication: 2025
Authors: Yashwant K. Panwar, Minal Gwala, Ronak Goyal
10.5120/ijca2025924751

Yashwant K. Panwar, Minal Gwala, Ronak Goyal . On Some Properties of Product of Fibonacci and Lucas Numbers. International Journal of Computer Applications. 186, 81 ( Apr 2025), 23-26. DOI=10.5120/ijca2025924751

@article{ 10.5120/ijca2025924751,
author = { Yashwant K. Panwar, Minal Gwala, Ronak Goyal },
title = { On Some Properties of Product of Fibonacci and Lucas Numbers },
journal = { International Journal of Computer Applications },
issue_date = { Apr 2025 },
volume = { 186 },
number = { 81 },
month = { Apr },
year = { 2025 },
issn = { 0975-8887 },
pages = { 23-26 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume186/number81/on-some-properties-of-product-of-fibonacci-and-lucas-numbers/ },
doi = { 10.5120/ijca2025924751 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2025-04-26T02:19:43.100708+05:30
%A Yashwant K. Panwar
%A Minal Gwala
%A Ronak Goyal
%T On Some Properties of Product of Fibonacci and Lucas Numbers
%J International Journal of Computer Applications
%@ 0975-8887
%V 186
%N 81
%P 23-26
%D 2025
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This study presenting the properties of numbers that we get by multiplying Fibonacci and Lucas numbers. Namely we define recurrence relation T_(n+2)=3T_(n+1)-T_n, n≥0 with T_0=0, T_1=1 . We investigate some basic properties of product of Fibonacci and Lucas numbers such as the Binet formula, generating function, generalized identity. We shall use the Binet’s formula and generating function for derivation. Also, we present its two cross two matrix representation.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Fibonacci number Lucas Number Binet’s formula Generating function and Matrices

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