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Some properties of functions related to the gamma, psi and tetragamma functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 2011 English Publisher:Elsevier BVJournal:Computers & Mathematics with Applications, volume 62, pages 3,389-3,395 (issn: 0898-1221, Copyright policy )
Authors: Chao-Ping Chen;

doi: 10.1016/j.camwa.2011.08.053

Some properties of functions related to the gamma, psi and tetragamma functions

Abstract

AbstractIn this paper, some properties associated with the complete monotonicity and the logarithmically complete monotonicity of functions related to the gamma, psi and tetragamma functions are obtained. Relevant connections of the results presented here with those derived in earlier works are also pointed out.

Related Organizations
Keywords

Computational Mathematics, Inequality, Computational Theory and Mathematics, Psi function, Gamma function, Modelling and Simulation, Tetragamma function, Completely monotonic functions, Logarithmically completely monotonic functions

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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!
5
Average
Average
Average
hybrid