Some new asymptotic approximations of the gamma function based on Nemes’ formula, Ramanujan’s formula and Burnside’s formula

Dawei Lu, Lixin Song and Congxu Ma

Applied Mathematics and Computation, 2015, vol. 253, issue C, 1-7

Abstract: In this paper, we construct some new approximations of the gamma function based on Nemes’ formula, Ramanujan’s formula and Burnside’s formula. Using these approximations, some inequalities are established. Finally, for demonstrating the superiority of our new approximation over Mortici’s formula and other classical ones, some numerical computations are also given.

Keywords: Gamma function; Nemes’ formula; Ramanujan’s formula; Burnside’s formula; Asymptotic approximations; Rate of convergence (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:253:y:2015:i:c:p:1-7

DOI: 10.1016/j.amc.2014.12.077

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