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

Related Articles

Different Mean-CVaR Models in Various Situations and its Effective Boundary

According to the framework of mean—CVaR model, CVaR is used instead of variance as a risk measurement to obtain the mean-CVaR model, and the intrinsic relationship between the two mode...

Teaching Research on the Relationship between High School Mathematics Curriculum and Life Reality

Mathematics is all-encompassing. On the one hand, mathematics is embodied in our daily life. On the other hand, mathematics is gradually infiltrating into our technological life. Moreover, it is clearly pointed out in th...

Numerical Simulation Prediction of CO2 Concentration in the Atmosphere using the Technique of a Parameter Estimation

This paper investigates the joint effect of environmental perturbation and the rate of discharge of CO2 on the cumulative concentration of carbon dioxide in the atmosphere. By using the parameter estimation technique of...

Some Measures to Train Professional Skills through Mathematics Modules Cdio Approach to Meet Output Standards

From the research on the output standards by the CDIO approach and studies on occupational skills requirements of the economic sector, We have proposed professional skills to train students in economics by teaching Mathe...

Resolvent Estimates of the Stokes Operator in Exterior Domains and Application

We consider an exterior domain Ω or smooth boundary. Our aim is to give some estimates to the resolvent of the stokes operator in exterior domains in the Lq norms. This estimates is then used to give estimate of the corr...

Download PDF file
  • EP ID EP508876
  • DOI -
  • Views 68
  • Downloads 0

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