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Results in Mathematics
Article . 2017 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2017
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Bounds for the Gamma Function

Bounds for the gamma function
Authors: Necdet Batır;

Bounds for the Gamma Function

Abstract

We improve the upper bound of the following inequalities for the gamma function $��$ due to H. Alzer and the author. \begin{equation*} \exp\left(-\frac{1}{2}��(x+1/3)\right)

Keywords

psi functions, 33B15, 26D07, gamma function, Evaluation of number-theoretic constants, inequalities, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, digamma function, Inequalities involving other types of functions, Gamma, beta and polygamma functions

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    popularity
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    Top 10%
    influence
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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!
9
Top 10%
Average
Average
Green