The proof of Muqattash-Yahdi conjecture

DOI10.1016/j.mcm.2009.12.030zbMath1205.33003OpenAlexW2078183523WikidataQ122956753 ScholiaQ122956753MaRDI QIDQ604131

Cristinel Mortici

Publication date: 8 November 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.12.030

zbMATH Keywords

gammarate of convergenceapproximationsdigammapolygamma

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Approximation by other special function classes (41A30)

Related Items (17)

On values of the psi function ⋮ Ramanujan formula for the generalized Stirling approximation ⋮ New approximation formulas for evaluating the ratio of gamma functions ⋮ Estimating the digamma and trigamma functions by completely monotonicity arguments ⋮ A new Stirling series as continued fraction ⋮ On some Euler-Mascheroni type sequences ⋮ On Ramanujan's large argument formula for the gamma function ⋮ The relationship between Huygens’ and Wilker’s inequalities and further remarks ⋮ Some properties of functions related to the gamma, psi and tetragamma functions ⋮ On the monotonicity and convexity of the remainder of the Stirling formula ⋮ Some inequalities and monotonicity properties associated with the gamma and psi functions ⋮ Approximation formulas for Landau's constants ⋮ Accurate Estimates of the Gamma Function Involving the PSI Function ⋮ Ramanujan's estimate for the gamma function via monotonicity arguments ⋮ Continued fraction estimates for the psi function ⋮ New improvements of the Stirling formula ⋮ On new sequences converging towards the Euler-Mascheroni constant

Cites Work

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• Improved convergence towards generalized Euler-Mascheroni constant
• A class of integral approximations for the factorial function
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• A coincidence degree for bifurcation problems
• Monotonicity properties of the volume of the unit ball in \({\mathbb{R}^{n}}\)
• Sharp inequalities for the psi function and harmonic numbers
• Best estimates of the generalized Stirling formula
• Infinite family of approximations of the digamma function
• Product Approximations via Asymptotic Integration
• The Gamma Function: An Eclectic Tour

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