Sharp inequalities involving the power mean and complete elliptic integral of the first kind
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Publication:380195
DOI10.1216/RMJ-2013-43-5-1489zbMath1314.33019OpenAlexW2053344326MaRDI QIDQ380195
Yu-Ming Chu, Song-Liang Qiu, Miao-Kun Wang
Publication date: 13 November 2013
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmjm/1382705664
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Cites Work
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- Bounds for complete elliptic integrals of the first kind
- Monotonicity theorems and inequalities for the complete elliptic integrals
- Turán type inequalities for generalized complete elliptic integrals
- Distortion functions for plane quasiconformal mappings
- Some inequalities for the Hersch-Pfluger distortion function
- Generalized elliptic integrals and modular equations
- Inequalities for means
- Elliptic integral inequalities with applications
- Inequalities and bounds for elliptic integrals
- Functional Inequalities for Complete Elliptic Integrals and Their Ratios
- Singular values, Ramanujan modular equations, and Landen transformations
- Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary
- Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals
- Inequalities for Zero-Balanced Hypergeometric Functions
- An Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse