Asymptotic formulas associated with psi function with applications

DOI10.1016/j.jmaa.2013.03.026zbMath1306.11101OpenAlexW2078756658MaRDI QIDQ2257191

Long Lin

Publication date: 24 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.03.026

zbMATH Keywords

asymptotic formulaEuler-Mascheroni constantpsi functionBernoulli numbers and polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Evaluation of number-theoretic constants (11Y60)

Related Items (5)

Approximations to the Euler-Mascheroni constant ⋮ Approximation formulas and inequalities for the Euler-Mascheroni constant ⋮ Unified treatment of several asymptotic expansions concerning some mathematical constants ⋮ A method to construct continued-fraction approximations and its applications ⋮ Inequalities and asymptotic expansions for the psi function and the Euler-Mascheroni constant

Cites Work

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• New approximation formulas for evaluating the ratio of gamma functions
• Improved asymptotic formulas for the gamma function
• New sequence converging towards the Euler-Mascheroni constant
• New improvements of the Stirling formula
• On an open problem of Chen and Mortici concerning the Euler-Mascheroni constant
• Remarks on asymptotic expansions for the gamma function
• The special functions and their approximations. Vol. I, II
• Improving some sequences convergent to Euler-Mascheroni constant
• A new method for establishing and proving accurate bounds for the Wallis ratio
• Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant
• A Quicker Convergence to Euler's Constant
• 75.9 Euler’s Constant

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