Inequalities for Gaussian hypergeometric functions

DOI10.7153/jmi-2021-15-01zbMath1466.33003OpenAlexW3158005957MaRDI QIDQ4992454

Ti-Ren Huang, Xiao-Yan Ma

Publication date: 9 June 2021

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2021-15-01

zbMATH Keywords

Gaussian hypergeometric functioninfinite productRamanujan's transformation

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

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• A new form of the generalized complete elliptic integrals
• Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions
• Complete \(p\)-elliptic integrals and a computation formula of \(\pi_p\) for \(p=4\)
• Ramanujan's theories of elliptic functions to alternative bases -- A symbolic excursion
• Generalized Grotzsch ring function and generalized elliptic integrals
• Landen-type inequality for Bessel functions
• Inequalities for Gaussian hypergeometric functions
• Landen inequalities for special functions
• Gauss, Landen, Ramanujan, the Arithmetic-Geometric Mean, Ellipses, π, and the Ladies Diary
• Asymptotic expansions and inequalities for hypergeometric function
• Ramanujan's Theories of Elliptic Functions to Alternative Bases

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