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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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https://dx.doi.org/10.3390/mat...
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Discrete Hypergeometric Legendre Polynomials

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 11 Oct 2021 English Publisher:MDPI AGJournal:Mathematics, volume 9, page 2,546 (eissn: 2227-7390, Copyright policy )
Authors: Tom Cuchta; Rebecca Luketic;

doi: 10.3390/math9202546

Discrete Hypergeometric Legendre Polynomials

Abstract

A discrete analog of the Legendre polynomials defined by discrete hypergeometric series is investigated. The resulting polynomials have qualitatively similar properties to classical Legendre polynomials. We derive their difference equations, recurrence relations, and generating function.

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Keywords

Legendre polynomial, special functions, generating function, recurrence relation, QA1-939, hypergeometric function, difference equation, Mathematics

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    		 6
    popularity
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    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    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!
6
Top 10%
Average
Top 10%
gold