Monotonicity, convexity and bounds involving the beta and Ramanujan R-functions

DOI10.7153/jmi-2021-15-45zbMath1472.33003OpenAlexW3176323144MaRDI QIDQ5000422

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Publication date: 13 July 2021

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

Full work available at URL: https://doi.org/10.7153/jmi-2021-15-45

zbMATH Keywords

monotonicitybeta functionconvexityRamanujan \(R\)-function

Mathematics Subject Classification ID

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

Related Items (5)

Delta L'Hospital-, Laplace- and variable limit-type monotonicity rules on time scales ⋮ Sharp approximations for complete \(p\)-elliptic integral of the second kind by weighted power means ⋮ Modeling approach for nanomaterial convective migration with inclusion of Lorentz force ⋮ Simulation of charging of PCM within a duct containing nanoparticles ⋮ New properties for the Ramanujan \(R\)-function

Cites Work

• Some properties of the difference between the Ramanujan constant and beta function
• Sequence transformations and their applications
• Generalized elliptic integrals and modular equations
• Functional inequalities for the quotients of hypergeometric functions
• Elliptic integral inequalities with applications
• Monotonicity properties and inequalities for the generalized elliptic integral of the first kind
• A new generalization of some quantum integral inequalities for quantum differentiable convex functions
• Sharp bounds for generalized elliptic integrals of the first kind
• Inequalities for Zero-Balanced Hypergeometric Functions
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