Asymptotic expansions related to hyperfactorial function and Glaisher–Kinkelin constant

Weiping Wang and Hongmei Liu

Applied Mathematics and Computation, 2016, vol. 283, issue C, 153-162

Abstract: In this paper, by the Bernoulli numbers and the exponential complete Bell polynomials, we establish two general asymptotic expansions related to the hyperfactorial function and the Glaisher–Kinkelin constant, where the coefficients in the series of the expansions can be determined by recurrences. Moreover, the explicit expressions of the coefficients are studied and some special asymptotic expansions are presented.

Keywords: Asymptotic expansions; Hyperfactorial function; Glaisher–Kinkelin constant; Bell polynomials; Bernoulli numbers (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:283:y:2016:i:c:p:153-162

DOI: 10.1016/j.amc.2016.02.027

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