Generalized Grotzsch ring function and generalized elliptic integrals

DOI10.1007/s11766-016-3356-5zbMath1374.33009OpenAlexW2558534755MaRDI QIDQ2362957

Guo-Yan Tu, Xiao-Yan Ma, Song-Liang Qiu

Publication date: 14 July 2017

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-016-3356-5

zbMATH Keywords

Gaussian hypergeometric functiongeneralized elliptic functiongeneralized Grotzsch ring function

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic integrals as hypergeometric functions (33C75)

Related Items (6)

Monotonicity properties of Gaussian hypergeometric functions with respect to the parameter ⋮ Generalized elliptic integrals and generalized Grötzsch function with two parameters ⋮ Dependence on the parameter of generalized Grötzsch ring and generalized Hübner functions ⋮ Inequalities for Gaussian hypergeometric functions ⋮ Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function ⋮ On the monotonicity and convexity for generalized elliptic integral of the first kind

Uses Software

• DLMF

Cites Work

• Landen inequalities for zero-balanced hypergeometric functions
• Generalized elliptic integrals and modular equations
• Concavity with respect to Hölder means involving the generalized Grötzsch function
• Ramanujan's Theories of Elliptic Functions to Alternative Bases
• Duplication inequalities for the ratios of hypergeometric functions
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