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Approximation for the gamma function via the tri-gamma function

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 2017 English Publisher:Springer Science and Business Media LLCJournal:Journal of Inequalities and Applications, volume 2,017 (eissn: 1029-242X, Copyright policy )
Authors: Xu You; Xiaocui Li;

doi: 10.1186/s13660-017-1585-7

pmid: 29263640

pmc: PMC5732313

Approximation for the gamma function via the tri-gamma function

Abstract

In this paper, we present a new sharp approximation for the gamma function via the tri-gamma function. This approximation is fast in comparison with the recently discovered asymptotic series. We also establish the inequalities related to this approximation. Finally, some numerical computations are provided for demonstrating the superiority of our approximation.

Related Organizations
Keywords

gamma function, inequalities, Research, QA1-939, approximation, multiple-correction method, Mathematics

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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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