A family of high order approximations of Ramanujan type for perimeter of an ellipse
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Publication:830312
DOI10.1007/s13398-021-01021-7zbMath1467.33021OpenAlexW3139469687WikidataQ114219835 ScholiaQ114219835MaRDI QIDQ830312
Zhen-Hang Yang, Ming-Hu Ha, Hong-Jie Xing, Jing-Feng Tian
Publication date: 7 May 2021
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-021-01021-7
monotonicityinequalityperimeter of an ellipsecomplete integral of the second kindRamanujan type approximation
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Inequalities for sums, series and integrals (26D15) Monotonic functions, generalizations (26A48) Approximation to limiting values (summation of series, etc.) (40A25) Elliptic functions and integrals (33E05)
Related Items (10)
Monotonicity results involving the zeta function with applications ⋮ Sharp bounds for the lemniscatic mean by the weighted Hölder mean ⋮ Absolute monotonicity of the accuracy of Ramanujan approximations for perimeter of an ellipse ⋮ Optimal bounds for two Seiffert-like means by arithmetic mean and harmonic mean ⋮ Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind ⋮ Monotonicity of three kinds of functions involving the Gaussian hypergeometric function ⋮ Sharp approximations for the generalized elliptic integral of the first kind ⋮ Sharp bounds for the Toader mean in terms of arithmetic and geometric means ⋮ On the convexity and concavity of generalized complete elliptic integral of the first kind ⋮ Convexity and monotonicity involving the complete elliptic integral of the first kind
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