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Gaussian Jacobsthal and Gaussian Jacobsthal Lucas numbers

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 English Publisher:Charles Babbage Research Centre
Authors: Aşçı, Mustafa; Gürel, Eşref;

handle: 11499/8234

Gaussian Jacobsthal and Gaussian Jacobsthal Lucas numbers

Abstract

In this study we define and study the Gaussian Jacob-sthal and Gaussian Jacobsthal Lucas numbers. We give generating functions, Binet formulas, explicit formulas and Q matrix of these numbers. We also present explicit combinatorial and determinantal expressions, study negatively subscripted numbers and give various identities. Similar to the Jacobsthal and Jacobsthal Lucas numbers we give some interesting results for the Gaussian Jacobsthal and Gaussian Jacobsthal Lucas numbers.

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Keywords

Gaussian Fibonacci numbers, Jacobsthal numbers, Jacobsthal Lucas numbers, Jacobsthal Numbers; Jacobsthal Lucas Numbers; Gaussian Fibonacci numbers, 510

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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!
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