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

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.

Authors and Affiliations

Sergio Falcon

Keywords

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  • EP ID EP508876
  • DOI -
  • Views 80
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How To Cite

Sergio Falcon (2018). On the Products of k-Fibonacci Numbers and k-Lucas Numbers. International Journal of Innovation in Science and Mathematics, 6(6), 184-187. https://europub.co.uk/articles/-A-508876