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Mathematics
Other literature type . 2022
License: CC BY
Full-Text: http://www.mdpi.com/2227-7390/10/15/2667/pdf
Data sources: Multidisciplinary Digital Publishing Institute
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Mathematics
Article . 2022 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Mathematics
Article . 2022
Data sources: DOAJ
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Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 28 Jul 2022 English Publisher:MDPI AGJournal:Mathematics, volume 10, page 2,667 (eissn: 2227-7390, Copyright policy )
Authors: Dongwei Guo; Wenchang Chu;

doi: 10.3390/math10152667

Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers

Abstract

Seven infinite series involving two free variables and central binomial coefficients (in denominators) are explicitly evaluated in closed form. Several identities regarding Pell/Lucas polynomials and Fibonacci/Lucas numbers are presented as consequences.

Related Organizations
Keywords

Fibonacci/Lucas numbers, arcsin-function, Pell/Lucas polynomial, Gaussian hypergeometric function; arcsin-function; central binomial coefficient; Pell/Lucas polynomial; Fibonacci/Lucas numbers, QA1-939, Gaussian hypergeometric function, central binomial coefficient, Mathematics

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    popularity
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
4
Top 10%
Average
Top 10%
gold