Abstract
In this paper, we establish two families of approximations for the gamma function:
where the constants \({\beta }_k\) and \({\gamma }_k\) can be determined by recurrences, and \(a\), \(b\), \(c\) are parameters. Numerical comparison shows that our results are more accurate than Stieltjes, Luschny and Nemes’ formulae, which, to our knowledge, are better than other approximations in the literature.
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Feng, L., Wang, W. Two families of approximations for the gamma function. Numer Algor 64, 403–416 (2013). https://doi.org/10.1007/s11075-012-9671-x
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DOI: https://doi.org/10.1007/s11075-012-9671-x