Sharp inequalities and asymptotic expansion associated with the Wallis sequence

DOI10.1186/s13660-015-0699-zzbMath1373.41023OpenAlexW2138513366WikidataQ59431182 ScholiaQ59431182MaRDI QIDQ2405784

Chao-Ping Chen, Ji-En Deng, Tao Ban

Publication date: 26 September 2017

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0699-z

zbMATH Keywords

gamma functionasymptotic expansioninequalitypsi functionpolygamma functionWallis sequence

Mathematics Subject Classification ID

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

Related Items (9)

Estimates for Wallis' ratio and related functions ⋮ Wallis' sequence estimated accurately using an alternating series ⋮ Sharp inequalities related to the volume of the unit ball in \(\mathbb{R}^n\) ⋮ 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 ⋮ Unnamed Item ⋮ On the asymptotic expansions of products related to the Wallis, Weierstrass, and Wilf formulas ⋮ How is the period of a simple pendulum growing with increasing amplitude? ⋮ Complete monotonicity of the remainder of the asymptotic series for the ratio of two gamma functions

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