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Mathematics
Other literature type . 2021
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Mathematics
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Mathematics
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Mathematics
Article . 2021
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On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 10 Feb 2021 English Publisher:MDPI AGJournal:Mathematics, volume 9, page 350 (eissn: 2227-7390, Copyright policy )
Authors: Younseok Choo;

doi: 10.3390/math9040350

On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers

Abstract

Recently Panda et al. obtained some identities for the reciprocal sums of balancing and Lucas-balancing numbers. In this paper, we derive general identities related to reciprocal sums of products of two balancing numbers, products of two Lucas-balancing numbers and products of balancing and Lucas-balancing numbers. The method of this paper can also be applied to even-indexed and odd-indexed Fibonacci, Lucas, Pell and Pell–Lucas numbers.

Related Organizations
Keywords

QA1-939, balancing numbers, reciprocal, Fibonacci numbers, floor function, Lucas-balancing numbers, Mathematics

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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!
3
Top 10%
Average
Average
gold