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Mathematics
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Mathematics
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Mathematics
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Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 18 Dec 2018 English Publisher:MDPI AGJournal:Mathematics, volume 6, page 334 (eissn: 2227-7390, Copyright policy )
Authors: Ma, Yuankui; Zhang, Wenpeng;

doi: 10.3390/math6120334

Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers

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.

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Keywords

combinatorial method, QA1-939, Fibonacci polynomials, Fibonacci numbers, power series, recursive sequence, identity, Mathematics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Top 10%
Top 10%
Top 10%
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