Asymptotic expansion related to the generalized Somos recurrence constant
A Xu - International Journal of Number Theory, 2019 - World Scientific
The generalized Somos recurrence is defined by g 0, t= 1, gn, t= ngn− 1, tt (n≥ 1). In the
present paper, for fixed t> 1, we study the following asymptotic series gn, t∼ σ ttnn 1/(t …
present paper, for fixed t> 1, we study the following asymptotic series gn, t∼ σ ttnn 1/(t …
[HTML][HTML] Asymptotic expansions related to the Glaisher–Kinkelin constant and its analogues
A Xu - Journal of Number Theory, 2016 - Elsevier
Based on the Bell polynomials, Chen and Lin (2013)[9] obtained explicitly the coefficients
am (m= 1, 2,…) in the following asymptotic expansion related to the Glaisher–Kinkelin …
am (m= 1, 2,…) in the following asymptotic expansion related to the Glaisher–Kinkelin …
[HTML][HTML] Asymptotic expansions for the psi function and the Euler–Mascheroni constant
A Xu, Z Cen - Journal of Number Theory, 2017 - Elsevier
Let r≠ 0 and s≠ 0 be two given real numbers. Chen [7](2016) obtained recursive relation
for determining the coefficients aj (r, s) such that ψ (x+ 1)∼ ln x+(1− 1 r) 1 x+ 1 s ln(1+∑ …
for determining the coefficients aj (r, s) such that ψ (x+ 1)∼ ln x+(1− 1 r) 1 x+ 1 s ln(1+∑ …
New Approximations for the Higher Order Coefficients in an Asymptotic Expansion for the Barnes G-Function
A Issaka - Results in Mathematics, 2022 - Springer
In this paper, we provide new formulas for determining the coefficients appearing in the
asymptotic expansion for the Barnes G-function as n tends to infinity for certain classes of …
asymptotic expansion for the Barnes G-function as n tends to infinity for certain classes of …