Monotonicity properties and bounds for the complete \(p\)-elliptic integrals
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Publication:5918664
DOI10.3934/MATH.2020453zbMath1484.33022OpenAlexW3084854052MaRDI QIDQ5918664
Miao-Kun Wang, Yu-Ming Chu, Xi-Fan Huang, Yi-Fan Zhao, Hao Shao
Publication date: 27 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2020453
monotonicityboundcomplete elliptic integralgeneralized trigonometric functioncomplete \(p\)-elliptic integral
Elliptic functions and integrals (33E05) Numerical approximation and evaluation of special functions (33F05)
Related Items (7)
On the bounds of the perimeter of an ellipse ⋮ Absolute monotonicity involving the complete elliptic integrals of the first kind with applications ⋮ Sharp inequalities for the Toader mean of order -1 in terms of other bivariate means ⋮ Transformation properties of hypergeometric functions and their applications ⋮ Sharp inequalities for the complete elliptic integrals of the first and second kinds ⋮ Sharp bounds for the Toader mean in terms of arithmetic and geometric means ⋮ New properties for the Ramanujan \(R\)-function
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