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Some New Inequalities for Gamma and Polygamma Functions

Batir, Necdet (2004) Some New Inequalities for Gamma and Polygamma Functions. Research report collection, 7 (3).

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Abstract

In this paper we derive some new inequalities involving the gamma function Γ, polygamma functions ψ = Γ'/Γ and ψ'. We also obtained two new sequences converging to Euler-Mascheroni constant γ very quickly. The method we use is new and can be applied to other similar problems.

Item Type: Article
Uncontrolled Keywords: digamma function, psi function, polygamma function, gamma function, inequalities, Euler's constant, completely monotonicity
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 18 Jul 2012 23:23
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17580
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