Sharp approximations for the generalized elliptic integral of the first kind
From MaRDI portal
Publication:2697642
DOI10.1515/ms-2023-0032OpenAlexW4361297686MaRDI QIDQ2697642
Miao-Kun Wang, Zai-Yin He, Yue Ping Jiang
Publication date: 13 April 2023
Published in: Mathematica Slovaca (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ms-2023-0032
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions
- Some properties of the difference between the Ramanujan constant and beta function
- Monotonicity theorems and inequalities for the complete elliptic integrals
- A family of high order approximations of Ramanujan type for perimeter of an ellipse
- Log-convexity and log-concavity of hypergeometric-like functions
- Generalized elliptic integrals and modular equations
- On Ramanujan asymptotic expansions and inequalities for hypergeometric functions
- Functional inequalities for the quotients of hypergeometric functions
- Inequalities and infinite product formula for Ramanujan generalized modular equation function
- Sharp inequalities for the generalized elliptic integrals of the first kind
- Elliott's identity and hypergeometric functions
- Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind
- Monotonicity and convexity involving generalized elliptic integral of the first kind
- Sharp approximations for the Ramanujan constant
- Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity
- Generalized elliptic integrals
- Sharp Landen transformation inequalities for hypergeometric functions, with applications
- Series expansions for the third incomplete elliptic integral via partial fraction decompositions
- On generalized complete elliptic integrals and modular functions
- Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals
- Some Inequalities for the Growth of Elliptic Integrals
- Sharp inequalities for the complete elliptic integral of the first kind
- Asymptotic expansions and inequalities for hypergeometric function
- Ramanujan's Theories of Elliptic Functions to Alternative Bases
- Duplication inequalities for the ratios of hypergeometric functions
- A concavity property of generalized complete elliptic integrals
- Asymptotic expansion and bounds for complete elliptic integrals
- Monotonicity and inequalities involving zero-balanced hypergeometric function
This page was built for publication: Sharp approximations for the generalized elliptic integral of the first kind