Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function

Chao-Ping Chen, Richard B. Paris

Research output: Contribution to journal › Article

22 Citations (Scopus)
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Abstract

In this paper, we present some completely monotonic functions and asymptotic expansions related to the gamma function. Based on the obtained expansions, we provide new bounds for Γ(x + 1)/Γ(x + 1/2) and Γ(x + 1/2).
Original languageEnglish
Pages (from-to)514-529
Number of pages16
JournalApplied Mathematics and Computation
Volume250
Early online date22 Nov 2014
DOIs
Publication statusPublished - 1 Jan 2015

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Completely Monotonic Function
Gamma function
Asymptotic Expansion

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Chen, Chao-Ping ; Paris, Richard B. / Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function. In: Applied Mathematics and Computation. 2015 ; Vol. 250. pp. 514-529.
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Chen, C-P & Paris, RB 2015, 'Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function', Applied Mathematics and Computation, vol. 250, pp. 514-529. https://doi.org/10.1016/j.amc.2014.11.010

Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function. / Chen, Chao-Ping; Paris, Richard B.

In: Applied Mathematics and Computation, Vol. 250, 01.01.2015, p. 514-529.

Research output: Contribution to journal › Article

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AU - Paris, Richard B.

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N2 - In this paper, we present some completely monotonic functions and asymptotic expansions related to the gamma function. Based on the obtained expansions, we provide new bounds for Γ(x + 1)/Γ(x + 1/2) and Γ(x + 1/2).

AB - In this paper, we present some completely monotonic functions and asymptotic expansions related to the gamma function. Based on the obtained expansions, we provide new bounds for Γ(x + 1)/Γ(x + 1/2) and Γ(x + 1/2).

U2 - 10.1016/j.amc.2014.11.010

DO - 10.1016/j.amc.2014.11.010

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Chen C-P, Paris RB. Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function. Applied Mathematics and Computation. 2015 Jan 1;250:514-529. https://doi.org/10.1016/j.amc.2014.11.010

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