On the Products of k-Fibonacci Numbers and k-Lucas Numbers

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Year:
2018
Type of Publication:
Article
Keywords:
k Fibonacci Numbers, k Lucas Numbers, Binet Identity
Authors:
Sergio Falcon
Journal:
IJISM
Volume:
6
Number:
6
Pages:
184-187
Month:
November
ISSN:
2347-9051
Abstract:
In this paper, we study the relation between the product of two k–Fibonacci numbers, the product of two k–Lucas numbers, and the product of a k-Fibonacci number by a k–Lucas number. As a main result, we look for the formula to find the sum of these products. Then we apply these formulas to some simple cases but more common than general cases and finalize with the generating function of these products
Full text: IJASM_784_FINAL.pdf

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