A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities
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Publication:343289
DOI10.1007/s10476-015-0201-7zbMath1363.33011OpenAlexW2205845904MaRDI QIDQ343289
Horst Alzer, Kendall C. Richards
Publication date: 25 November 2016
Published in: Analysis Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10476-015-0201-7
Related Items (13)
Monotonicity, convexity and inequalities involving the generalized elliptic integrals ⋮ Inequalities for generalized Grötzsch ring function ⋮ Monotonicity, convexity, and inequalities for the generalized elliptic integrals ⋮ Sharp power-type Heronian and Lehmer means inequalities for the complete elliptic integrals ⋮ Discrete approximation of complete \(p\)-elliptic integral of the second kind and its application ⋮ Sharp approximations for complete \(p\)-elliptic integral of the second kind by weighted power means ⋮ A concavity property of the complete elliptic integral of the first kind ⋮ Monotonicity properties and bounds for the complete \(p\)-elliptic integrals ⋮ Sharp generalized Seiffert mean bounds for the Toader mean of order 4 ⋮ On a function involving generalized complete \((p, q)\)-elliptic integrals ⋮ Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind ⋮ A survey for generalized trigonometric and hyperbolic functions ⋮ Convexity and monotonicity for elliptic integrals of the first kind and applications
Cites Work
- Unnamed Item
- Bounds for complete elliptic integrals of the first kind
- Monotonicity theorems and inequalities for the complete elliptic integrals
- Inequalities and bounds for generalized complete elliptic integrals
- Elliptic integral inequalities with applications
- Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals
- Inequalities for Zero-Balanced Hypergeometric Functions
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