Improved convergence towards generalized Euler-Mascheroni constant
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Publication:846448
DOI10.1016/j.amc.2009.10.039zbMath1186.11076OpenAlexW2088322664MaRDI QIDQ846448
Publication date: 9 February 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.10.039
Related Items (29)
Optimal bounds for the generalized Euler-Mascheroni constant ⋮ The monotonicity and convexity of a function involving psi function with applications ⋮ On the harmonic number expansion by Ramanujan ⋮ The proof of Muqattash-Yahdi conjecture ⋮ Ramanujan formula for the generalized Stirling approximation ⋮ The asymptotic series of the generalized Stirling formula ⋮ New approximation formulas for evaluating the ratio of gamma functions ⋮ Estimating gamma function by digamma function ⋮ Estimating the digamma and trigamma functions by completely monotonicity arguments ⋮ A new Stirling series as continued fraction ⋮ On Ramanujan's large argument formula for the gamma function ⋮ Some new quicker continued fraction approximations for the gamma function related to the Nemes' formula ⋮ Improved asymptotic formulas for the gamma function ⋮ Monotonicity properties of the volume of the unit ball in \({\mathbb{R}^{n}}\) ⋮ Approximation formulas for Landau's constants ⋮ Approximation formulas and inequalities for the Euler-Mascheroni constant ⋮ Multiple-correction and continued fraction approximation ⋮ A double inequality for a generalized-Euler-constant function ⋮ Ramanujan's estimate for the gamma function via monotonicity arguments ⋮ Best estimates of the generalized Stirling formula ⋮ Limits and inequalities associated with the Euler-Mascheroni constant ⋮ Continued fraction estimates for the psi function ⋮ A class of integral approximations for the factorial function ⋮ New improvements of the Stirling formula ⋮ On new sequences converging towards the Euler-Mascheroni constant ⋮ A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant ⋮ Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant ⋮ Continued fraction inequalities for the Euler-Mascheroni constant ⋮ Necessary and sufficient conditions for functions involving the psi function to be completely monotonic
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