Chen, Chaoping Coefficients of asymptotic expansions for Landau constants and Euler-Mascheroni constant and Stirling series. (Chinese. English summary) Zbl 1488.41078 Chin. Ann. Math., Ser. A 42, No. 1, 89-104 (2021). Summary: In this paper, the author gives a recurrence relation for determining the coefficients of asymptotic expansion for Landau constants. The author also considers asymptotic expansions for Euler-Mascheroni constant and \(n!\), and gives a recurrence relation for determining the coefficient of each expansion, without using Bernoulli numbers. MSC: 41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) 41A44 Best constants in approximation theory 11Y60 Evaluation of number-theoretic constants Keywords:Landau constants; Euler-Mascheroni constant; Stirling series; asymptotic expansion PDFBibTeX XMLCite \textit{C. Chen}, Chin. Ann. Math., Ser. A 42, No. 1, 89--104 (2021; Zbl 1488.41078) Full Text: DOI