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Coefficients of asymptotic expansions for Landau constants and Euler-Mascheroni constant and Stirling series. (Chinese. English summary) Zbl 1488.41078

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
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