Based on the Bell pol
ynomials, Chen and Lin (2013)
[9] obtained explicitl
y the coefficients
am(m=1,2,…) in the following as
ymptotic expansion related to the Glaisher–Kinkelin constant
A:
In this paper, we provide a recurrence formula for the computation of these coefficients, and further describe their as
ymptotic behavior. We also give recurrence formulas, explicit expressions and as
ymptotic formulas for the coefficients of similar approximation formulas for two analogues of the Glaisher–Kinkelin constant.