Inequalities for generalized Grötzsch ring function
From MaRDI portal
Publication:2169305
DOI10.1007/s40315-021-00415-3OpenAlexW3194087325MaRDI QIDQ2169305
Yu-Ming Chu, Tie-Hong Zhao, Barkat Ali Bhayo
Publication date: 2 September 2022
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40315-021-00415-3
modular equationgeneralized elliptic integralsgeometric function theorygeneralized Grötzsch ring function
Related Items (8)
Monotonicity properties of Gaussian hypergeometric functions with respect to the parameter ⋮ Optimal Lehmer mean bounds for the $n$th power-type Toader means of n=-1,1,3 ⋮ On the generalized power-type Toader mean ⋮ Sharp weighted Hölder mean bounds for the complete elliptic integral of the second kind ⋮ Sharp approximations for complete \(p\)-elliptic integral of the second kind by weighted power means ⋮ New properties for the Ramanujan \(R\)-function ⋮ On the monotonicity and convexity for generalized elliptic integral of the first kind ⋮ Sharp power mean bounds for the tangent and hyperbolic sine means
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new form of the generalized complete elliptic integrals
- A note on a function involving complete elliptic integrals: monotonicity, convexity, inequalities
- Optimal combinations bounds of root-square and arithmetic means for Toader mean
- Bounds for complete elliptic integrals of the second kind with applications
- Solution to a conjecture on the Legendre \(M\)-function with an application to the generalized modulus
- Monotonicity rule for the quotient of two functions and its application
- Monotonicity theorems and inequalities for the complete elliptic integrals
- Generalized elliptic integrals and modular equations
- Elliptic integral inequalities with applications
- Inequalities and infinite product formula for Ramanujan generalized modular equation function
- On the generalized modulus
- Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters
- On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind
- Refinements of transformation inequalities for zero-balanced hypergeometric functions
- Optimal Lehmer mean bounds for the Toader mean
- Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function
- On some refinements for inequalities involving zero-balanced hypergeometric function
- Monotonicity and convexity involving generalized elliptic integral of the first kind
- Sharp bounds for the weighted Hölder mean of the zero-balanced generalized complete elliptic integrals
- Monotonicity properties and inequalities related to generalized Grötzsch ring functions
- Sharp bounds for generalized elliptic integrals of the first kind
- Generalized elliptic integrals
- An optimal power mean inequality for the complete elliptic integrals
- Hölder mean inequalities for the complete elliptic integrals
- On generalized complete elliptic integrals and modular functions
- Monotonicity properties and bounds involving the complete elliptic integrals of the first kind
- A monotonicity property involving the generalized elliptic integral of the first kind
- Landen inequalities for a class of hypergeometric functions with applications
- Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function
- Ramanujan's Theories of Elliptic Functions to Alternative Bases
- Monotonicity properties and bounds for the complete \(p\)-elliptic integrals
This page was built for publication: Inequalities for generalized Grötzsch ring function