The Power Sums Involving Fibonacci Polynomials and Their Applications
The Power Sums Involving Fibonacci Polynomials and Their Applications
The Girard and Waring formula and mathematical induction are used to study a problem involving the sums of powers of Fibonacci polynomials in this paper, and we give it interesting divisible properties. As an application of our result, we also prove a generalized conclusion proposed by R. S. Melham.