Inequalities for the Gaussian hypergeometric function

DOI10.1007/s11425-014-4858-3zbMath1307.33002OpenAlexW2050321714MaRDI QIDQ487506

Peigui Zhou, Ying-Qing Song, Yu-Ming Chu

Publication date: 22 January 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4858-3

zbMATH Keywords

monotonicityinequalityGaussian hypergeometric function

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Other analytical inequalities (26D20)

Related Items (9)

Quadratic transformation inequalities for Gaussian hypergeometric function ⋮ A simple rational approximation to the generalized elliptic integral of the first kind ⋮ Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters ⋮ Monotonicity, convexity, and inequalities for the generalized elliptic integrals ⋮ Concise high precision approximation for the complete elliptic integral of the first kind ⋮ A new upper bound for the complete elliptic integral of the first kind ⋮ Landen inequalities for a class of hypergeometric functions with applications ⋮ On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind ⋮ Monotonicity and inequalities involving zero-balanced hypergeometric function

Uses Software

• DLMF

Cites Work

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• An Inequality Involving the Generalized Hypergeometric Function and the Arc Length of an Ellipse
• Univalence and convexity properties for Gaussian hypergeometric functions

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