Year: 2025
Type: article
Abstract: This study presenting the properties of numbers that we get by multiplying Fibonacci and Lucas numbers.Namely we define recurrence relation ๐ฏ ๐ซ+2 = 3๐ฏ ๐ซ+1 -๐ฏ ๐ซ , ๐ โฅ 0 ๐ค๐๐กโ ๐ฏ 0 = 0, ๐ฏ 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.
Authors: Yashwant K. Panwar, Minal Gwala, Ronak Goyal
Institution: Mandsaur University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409840828