Inequalities and asymptotic expansions of the Wallis sequence and the sum of the Wallis ratio

DOI10.7153/JMI-07-62zbMath1306.33005OpenAlexW2325430810MaRDI QIDQ2879466

Lenka Vukšić, Long Lin, Neven Elezović

Publication date: 2 September 2014

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/jmi-07-62.pdf

zbMATH Keywords

gamma functionidentitiesasymptotic expansioninequalityWallis sequenceBernoulli's numbersBernoulli's polynomialsEuler's numbers

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities for sums, series and integrals (26D15)

Related Items (7)

On the approximation of Riemann-Liouville integral by fractional nabla h-sum and applications ⋮ Inequalities and asymptotic expansions associated with the Wallis sequence ⋮ Sharp inequalities and asymptotic expansion associated with the Wallis sequence ⋮ Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants ⋮ On the asymptotic expansions of products related to the Wallis, Weierstrass, and Wilf formulas ⋮ 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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