Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers
Copyright policy )Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers
The aim of this paper is to research the structural properties of the Fibonacci polynomials and Fibonacci numbers and obtain some identities. To achieve this purpose, we first introduce a new second-order nonlinear recursive sequence. Then, we obtain our main results by using this new sequence, the properties of the power series, and the combinatorial methods.
- North University of China China (People's Republic of)
- Xi'an Technological University China (People's Republic of)
combinatorial method, Fibonacci numbers, Sequences (mod \(m\)), QA1-939, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci polynomials, power series, recursive sequence, Mathematics, identity
combinatorial method, Fibonacci numbers, Sequences (mod \(m\)), QA1-939, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci polynomials, power series, recursive sequence, Mathematics, identity
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