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Mathematics of Computation
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Mathematics of Computation
Article . 1997 . Peer-reviewed
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Mathematics of Computation
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On some inequalities for the gamma and psi functions

On some inequalities for the gamma and psi functions
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1997 English Publisher:American Mathematical Society (AMS)Journal:Mathematics of Computation, volume 66, pages 373-390 (issn: 0025-5718, Copyright policy )
Authors: Horst Alzer;

doi: 10.1090/s0025-5718-97-00807-7

On some inequalities for the gamma and psi functions

Abstract

Summary: We present new inequalities for the gamma and psi functions, and we provide new classes of completely monotonic, star-shaped, and super-additive functions which are related to \(\Gamma\) and \(\psi\).

Keywords

super-additive functions, gamma function, star-shaped functions, inequalities, Laplace transform, infinite divisibility, psi function, complete monotonicity, Inequalities involving other types of functions, Gamma, beta and polygamma functions

  • BIP!
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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).
    		 311
    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.
    		 Top 1%
    influence
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    		 Top 1%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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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!
311
Top 1%
Top 1%
Top 10%
bronze