Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers

Yuankui Ma and Wenpeng Zhang
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Yuankui Ma: School of Science, Xi’an Technological University, Xi’an 710021, China
Wenpeng Zhang: School of Science, Xi’an Technological University, Xi’an 710021, China

Mathematics, 2018, vol. 6, issue 12, 1-8

Abstract: 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.

Keywords: Fibonacci polynomials; Fibonacci numbers; recursive sequence; combinatorial method; power series; identity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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