Bounds for the perimeter of an ellipse
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Publication:435173
DOI10.1016/j.jat.2012.03.011zbMath1248.33024OpenAlexW1980873132MaRDI QIDQ435173
Song-Liang Qiu, Yu-Ming Chu, Miao-Kun Wang, Yue Ping Jiang
Publication date: 11 July 2012
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2012.03.011
Gaussian hypergeometric functionperimeter of an ellipsecomplete elliptic integralToader meanarithmetic, harmonic, root-square means
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Length, area and volume in real or complex geometry (51M25)
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Cites Work
- Monotonicity theorems and inequalities for the complete elliptic integrals
- Generalized elliptic integrals and modular equations
- Some mean values related to the arithmetic-geometric mean
- Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary
- A Monotonicity Property Involving 3F2 and Comparisons of the Classical Approximations of Elliptical Arc Length
- An Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse
- Generating Functions for Bessel and Related Polynomials
- Univalence and convexity properties for Gaussian hypergeometric functions
- Inequalities for the perimeter of an ellipse
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