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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2009
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On the Expansion of Fibonacci and Lucas Polynomials

On the expansion of Fibonacci and Lucas polynomials
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2009 South Africa Publisher:University of Waterloo, School of Computer Science, Waterloo, ON
Authors: Prodinger H;

handle: 10019.1/46696

On the Expansion of Fibonacci and Lucas Polynomials

Abstract

Summary: Recently, \textit{H. Belbachir} and \textit{F. Bencherif} [J. Integer Seq. 11, No. 2, Article ID 08.2.6, 10 p., electronic only (2008; Zbl 1211.11019)] have expanded Fibonacci and Lucas polynomials using bases of Fibonacci- and Lucas-like polynomials. Here, we provide simplified proofs for the expansion formulae that in essence a computer can do. Furthermore, for 2 of the 5 instances, we find \(q\)-analogues.

Country
South Africa
Related Organizations
Keywords

020, 330, Lucas polynomials, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci polynomials, q-analogues, Recurrences

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selected citations
These citations are derived from selected sources.
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!
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