Absolute monotonicity involving the complete elliptic integrals of the first kind with applications
From MaRDI portal
Publication:2157857
DOI10.1007/s10473-022-0302-xOpenAlexW4224226087WikidataQ114227626 ScholiaQ114227626MaRDI QIDQ2157857
Zhen-Hang Yang, Jing-Feng Tian
Publication date: 22 July 2022
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10473-022-0302-x
hypergeometric seriesinequalityabsolute monotonicityrecurrence methodcomplete elliptic integrals of the first kind
Convergence and divergence of series and sequences (40A05) Monotonic functions, generalizations (26A48) Elliptic functions and integrals (33E05)
Related Items (4)
Several absolutely monotonic functions related to the complete elliptic integral of the first kind ⋮ Absolute monotonicity of the accuracy of Ramanujan approximations for perimeter of an ellipse ⋮ A best possible upper bound for the complete elliptic integral of the first kind ⋮ Convexity and monotonicity involving the complete elliptic integral of the first kind
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions
- Logarithmically complete monotonicity properties relating to the gamma function
- Monotonicity theorems and inequalities for the complete elliptic integrals
- Quadratic transformation inequalities for Gaussian hypergeometric function
- Approximations for the complete elliptic integral of the second Kind
- Inequalities for means
- Sharp approximations for the complete elliptic integrals of the second kind by one-parameter means
- Sharp inequalities for the generalized elliptic integrals of the first kind
- Refinements of transformation inequalities for zero-balanced hypergeometric functions
- High accuracy asymptotic bounds for the complete elliptic integral of the second kind
- On some refinements for inequalities involving zero-balanced hypergeometric function
- Monotonicity, convexity and inequalities involving the generalized elliptic integrals
- Sharp power mean inequalities for the generalized elliptic integral of the first kind
- A positive answer to Bhatia-Li conjecture on the monotonicity for a new mean in its parameter
- Monotonicity and convexity involving generalized elliptic integral of the first kind
- Sharp bounds for the arithmetic-geometric mean
- Approximation for the complete elliptic integral of the first kind
- On rational bounds for the gamma function
- On approximating the Toader mean by other bivariate means
- Rotation of plane quasiconformal mappings
- Inequalities for the ratio of complete elliptic integrals
- Functional Inequalities for Complete Elliptic Integrals and Their Ratios
- Hölder mean inequalities for the complete elliptic integrals
- Asymptotic Expansion of the First Elliptic Integral
- Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals
- Some Inequalities for the Growth of Elliptic Integrals
- Monotonicity properties and bounds involving the complete elliptic integrals of the first kind
- Monotonicity and sharp inequalities related to gamma function
- Landen inequalities for a class of hypergeometric functions with applications
- A class of completely mixed monotonic functions involving the gamma function with applications
- Inequalities for Zero-Balanced Hypergeometric Functions
- Sharp Estimates for Complete Elliptic Integrals
- Answers to three conjectures on convexity of three functions involving complete elliptic integrals of the first kind
- Convexity and monotonicity for elliptic integrals of the first kind and applications
- Notes on the complete elliptic integral of the first kind
- Bounds for the perimeter of an ellipse in terms of power means
- A new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainder
- Monotonicity and inequalities involving zero-balanced hypergeometric function
- A note on inequalities for the ratio of zero-balanced hypergeometric functions
- Monotonicity properties and bounds for the complete \(p\)-elliptic integrals
- Subadditive functions
This page was built for publication: Absolute monotonicity involving the complete elliptic integrals of the first kind with applications
