Wang Tingting and Zhang Wenpeng: Some identities involving Fibonacci, Lucas polynomials and their applications, p.95-103


The main purpose of this paper is to study some sums of powers of Fibonacci polynomials and Lucas polynomials, and give several interesting identities. Finally, using these identities we shall prove a conjecture proposed by R. S. Melham in [4].

Key Words: Fibonacci polynomials, Lucas polynomials, combinatorial method, identity, R. S. Melham's conjectures.

2000 Mathematics Subject Classification: Primary: 11B39;
Secondary: 26D10.

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