The main purpose of this paper is to study some sums
of powers of Fibonacci polynomials and Lucas polynomials, and give
interesting identities. Finally, using these identities we shall prove a conjecture proposed by R. S. Melham in .
Key Words: Fibonacci polynomials, Lucas polynomials, combinatorial method, identity, R. S. Melham's conjectures.
2000 Mathematics Subject Classification: Primary: 11B39;
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