Completely monotone functions and the Wallis ratio
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Publication:429190
DOI10.1016/j.aml.2011.10.008zbMath1242.33005OpenAlexW1984752375MaRDI QIDQ429190
Publication date: 26 June 2012
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2011.10.008
gamma functioncompletely monotonic functionsWallis ratiopolygamma functionsratio of gamma functionsKazarinoff's inequality
Related Items (14)
Estimates for Wallis' ratio and related functions ⋮ Inequalities and asymptotic expansions associated with the Wallis sequence ⋮ Sharp inequalities and asymptotic expansion associated with the Wallis sequence ⋮ Further refinements of Gurland's formula for \({\pi}\) ⋮ Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants ⋮ The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin’s series ⋮ On the asymptotic expansions of products related to the Wallis, Weierstrass, and Wilf formulas ⋮ Some conditions for a class of functions to be completely monotonic ⋮ A sharp two-sided inequality for bounding the Wallis ratio ⋮ A simple asymptotic estimate of Wallis' ratio using Stirling's factorial formula ⋮ Robust Geodesic Regression ⋮ How is the period of a simple pendulum growing with increasing amplitude? ⋮ Basic asymptotic estimates for powers of Wallis’ ratios ⋮ Simple accurate balanced asymptotic approximation of Wallis' ratio using Euler-Boole alternating summation
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