Dependence on the parameter of generalized Grötzsch ring and generalized Hübner functions

DOI10.1007/s40840-023-01643-7MaRDI QIDQ6146662

Qi Bao, Yu-Ming Chu, Miao-Kun Wang

Publication date: 31 January 2024

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

zbMATH Keywords

Gaussian hypergeometric functiongeneralized Grötzsch ring functionRamanujan's generalized modular equationgeneralized Hübner function

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the modulus of the Grötzsch ring
• Generalized Hersch-Pfluger distortion function and complete elliptic integrals
• Turán type inequalities for generalized complete elliptic integrals
• Generalized elliptic integrals and modular equations
• On Ramanujan asymptotic expansions and inequalities for hypergeometric functions
• Functional inequalities for the quotients of hypergeometric functions
• Elliptic integral inequalities with applications
• Elliott's identity and hypergeometric functions
• Inverse functions of Grötzsch's and Teichmüller's modulus functions
• Monotonicity theorems and inequalities for the Hübner function with applications
• Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function
• Monotonicity properties of generalized elliptic integrals with respect to the parameter
• On the approximation of some special functions in Ramanujan's generalized modular equation with signature \(3^{\ast}\)
• Monotonicity properties and inequalities related to generalized Grötzsch ring functions
• Sharp approximations for the Ramanujan constant
• Generalized Grotzsch ring function and generalized elliptic integrals
• Generalized elliptic integrals
• A power mean inequality for the Grötzsch ring function
• Asymptotic expansions and inequalities for hypergeometric function
• Infinite series formula for Hübner upper bound function with applications to Hersch-Pfluger distortion function
• Infinite Products and Normalized Quotients of Hypergeometric Functions
• Ramanujan's Theories of Elliptic Functions to Alternative Bases
• Duplication inequalities for the ratios of hypergeometric functions
• SOME INEQUALITIES FOR THE GENERALIZED GRÖTZSCH FUNCTION

This page was built for publication: Dependence on the parameter of generalized Grötzsch ring and generalized Hübner functions