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Scandinavian Actuarial Journal
Article . 1973 . Peer-reviewed
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Scandinavian Actuarial Journal
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On gamma function inequalities

On Gamma function inequalities
descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1973 English Publisher:Informa UK LimitedJournal:Scandinavian Actuarial Journal, volume 1,973, pages 65-69 (issn: 0346-1238, eissn: 1651-2030, Copyright policy )
Authors: Adrienne W. Kemp;

doi: 10.1080/03461238.1973.10414975

On gamma function inequalities

Abstract

Watson's method [1] is used to find two convergent monotonically non-decreasing sequences whose upper bounds are equal to Γ(l)Γ(l∓2a)/Γ2(l∓a) ( = K say), provided l > max (0, - 2a). Boyd [2] showed that Gurland's inequality [3] for K corresponds to the first term of the first sequence; Raja Rao's inequality [4] corresponds to the second term of the first sequence. The first two terms of the second sequence also yield easily calculated inequalities.

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Keywords

Classical hypergeometric functions, \({}_2F_1\), Gamma, beta and polygamma 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
Top 10%
Average
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